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ANÁLISIS Y EVALUACIÓN DE RIESGO SÍSMICO EN LÍNEAS VITALES. CASO DE ESTUDIO BOGOTÁ D.C.
ANEXO No. 10
GRAFICAS DE LAS CURVAS DE VULNERABILIDAD
NÚMERO DE CURVAS: 72
DATOS XY: 2
ECUACIÓN: 6
NORMALES: 8
LOGNORMALES: 49
AGRUPADAS: 7
0 20 40 60 80 100
0.0
1.0
2.0
3.0
10 30 50 70 90
0.25
0.75
1.25
1.75
2.25
2.75
Estudio de Riesgo Sísmico en Líneas Vitales. Curvas de Vulnerabilidad.*** Cada curva con diferentes factores de corrección
Tipo de Gráfica: Varios
ALA (2001) − O' Rourke & Ayala (1993) − Eidinger & Avila (1999) − Isoyama (2000) − Isoyama (1998) − JWA (1998)Las curvas aplican para Acueducto y Alcantarillado. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
PGV − Velocidad Pico del Terreno Cm
Seg
Tasa
de
Rep
arac
ione
s (R
epai
r R
ate)
por
Kiló
met
ro
RR
/Km
●●
●●
●●
●
ALA (2001) −− Y =
0.00187
0.3048
*
1
2.54
* X −− (inv_id=21, pav_id=31)
O' Rourke & Ayala (1993) −− Y =
1
104
* X
2.25 −− (inv_id=22, pav_id=32)
Eidinger & Avila (1999) −− Y =
0.00032
0.3048*2.541.98
* X
1.98 −− (inv_id=23, pav_id=33)
Isoyama (2000) −− Y = 3.11E−3 * (X − 15)1.3 −− (inv_id=24, pav_id=34)Isoyama (1998) −− Y = 3.11E−3 * (X − 15)1.3 −− (inv_id=25, pav_id=35)
Japan Waterworks Association (1998) −− Y = 3.11E−3 * (X − 15)1.3 −− (inv_id=26, pav_id=36)
Eidinger − G & E (2001) −− Sin formula −− (inv_id=28, pav_id=38)
●
RR/Km vs PGV
ALA (2001)O' Rourke & Ayala (1993)Eidinger & Avila (1999)Isoyama (2000)Isoyama (1998)Japan Waterworks Association (1998)Eidinger − G & E (2001)
1
0 200 400 600 800 1000
010
020
030
040
050
0
50 150
250
350
450
550
650
750
850
950
50
150
250
350
450
Estudio de Riesgo Sísmico en Líneas Vitales. Curvas de Vulnerabilidad.*** Cada curva con diferentes factores de corrección
Tipo de Gráfica: Varios
ALA (2001) − O' Rourke & Ayala (1993) − Eidinger & Avila (1999) − Isoyama (2000) − Isoyama (1998) − JWA (1998) − Eidinger − G & E (2001)Las curvas aplican para Acueducto y Alcantarillado. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
PGV − Velocidad Pico del Terreno Cm
Seg
Tasa
de
Rep
arac
ione
s (R
epai
r R
ate)
por
Kiló
met
ro
RR
/Km
● ● ● ● ● ● ● ● ● ● ●
ALA (2001) −− Y =
0.00187
0.3048
*
1
2.54
* X −− (inv_id=21, pav_id=31)
O' Rourke & Ayala (1993) −− Y =
1
104
* X
2.25 −− (inv_id=22, pav_id=32)
Eidinger & Avila (1999) −− Y =
0.00032
0.3048*2.541.98
* X
1.98 −− (inv_id=23, pav_id=33)
Isoyama (2000) −− Y = 3.11E−3 * (X − 15)1.3 −− (inv_id=24, pav_id=34)Isoyama (1998) −− Y = 3.11E−3 * (X − 15)1.3 −− (inv_id=25, pav_id=35)
Japan Waterworks Association (1998) −− Y = 3.11E−3 * (X − 15)1.3 −− (inv_id=26, pav_id=36)
Eidinger − G & E (2001) −− Sin formula −− (inv_id=28, pav_id=38)
●
RR/Km vs PGV
ALA (2001)O' Rourke & Ayala (1993)Eidinger & Avila (1999)Isoyama (2000)Isoyama (1998)Japan Waterworks Association (1998)Eidinger − G & E (2001)
2
0 20 40 60 80 100
1e−05
1e−04
0.001
0.01
0.1
125
Estudio de Riesgo Sísmico en Líneas Vitales. Curvas de Vulnerabilidad.*** Cada curva con diferentes factores de corrección
Tipo de Gráfica: Varios
ALA (2001) − O' Rourke & Ayala (1993) − Eidinger & Avila (1999) − Isoyama (2000) − Isoyama (1998) − JWA (1998)Las curvas aplican para Acueducto y Alcantarillado. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
PGV − Velocidad Pico del Terreno Cm
Seg
Tasa
de
Rep
arac
ione
s (R
epai
r R
ate)
por
Kiló
met
ro
RR
/Km
●
●●
● ● ● ●
ALA (2001) −− Y =
0.00187
0.3048
*
1
2.54
* X −− (inv_id=21, pav_id=31)
O' Rourke & Ayala (1993) −− Y =
1
104
* X
2.25 −− (inv_id=22, pav_id=32)
Eidinger & Avila (1999) −− Y =
0.00032
0.3048*2.541.98
* X
1.98 −− (inv_id=23, pav_id=33)
Isoyama (2000) −− Y = 3.11E−3 * (X − 15)1.3 −− (inv_id=24, pav_id=34)Isoyama (1998) −− Y = 3.11E−3 * (X − 15)1.3 −− (inv_id=25, pav_id=35)
Japan Waterworks Association (1998) −− Y = 3.11E−3 * (X − 15)1.3 −− (inv_id=26, pav_id=36)
Eidinger − G & E (2001) −− Sin formula −− (inv_id=28, pav_id=38)
●
RR/Km vs PGV
ALA (2001)O' Rourke & Ayala (1993)Eidinger & Avila (1999)Isoyama (2000)
Isoyama (1998)Japan Waterworks Association (1998)Eidinger − G & E (2001)
3
0 20 40 60 80 100
1e−05
1e−04
0.001
0.01
0.1
12
Estudio de Riesgo Sísmico en Líneas Vitales. Curvas de Vulnerabilidad.*** Cada curva con diferentes factores de corrección
Tipo de Gráfica: Varios
ALA (2001) − O' Rourke & Ayala (1993) − Eidinger & Avila (1999) − Isoyama (2000) − Isoyama (1998) − JWA (1998)Las curvas aplican para Acueducto y Alcantarillado. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
PGV − Velocidad Pico del Terreno Cm
Seg
Tasa
de
Rep
arac
ione
s (R
epai
r R
ate)
por
Kiló
met
ro
RR
/Km
●
●●
● ● ● ●
ALA (2001) −− Y =
0.00187
0.3048
*
1
2.54
* X −− (inv_id=21, pav_id=31)
O' Rourke & Ayala (1993) −− Y =
1
104
* X
2.25 −− (inv_id=22, pav_id=32)
Eidinger & Avila (1999) −− Y =
0.00032
0.3048*2.541.98
* X
1.98 −− (inv_id=23, pav_id=33)
Isoyama (2000) −− Y = 3.11E−3 * (X − 15)1.3 −− (inv_id=24, pav_id=34)Isoyama (1998) −− Y = 3.11E−3 * (X − 15)1.3 −− (inv_id=25, pav_id=35)
Japan Waterworks Association (1998) −− Y = 3.11E−3 * (X − 15)1.3 −− (inv_id=26, pav_id=36)
Eidinger − G & E (2001) −− Sin formula −− (inv_id=28, pav_id=38)
●
RR/Km vs PGV
ALA (2001)O' Rourke & Ayala (1993)Eidinger & Avila (1999)Isoyama (2000)
Isoyama (1998)Japan Waterworks Association (1998)Eidinger − G & E (2001)
4
0 20 40 60 80 100
0.00
0.05
0.10
0.15
0.20
0.25
10 30 50 70 900.025
0.075
0.125
0.175
0.225
ALA (2001). Seismic Fragility Formulations For Water System. Part 1. Factor de Corrección K1 (material, diámetro, tipo de unión, tipo de suelos)
Tipo de Gráfica: Ecuación
ALA (2001)Curva de Vulnerabilidad Acueducto y Alcantarillado. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
PGV − Velocidad Pico del Terreno Cm
Seg
Tasa
de
Rep
arac
ione
s (R
epai
r R
ate)
por
Kiló
met
ro
RR
/Km
ALA (2001) −− Y =
0.00187
0.3048
*
1
2.54
* X −− (inv_id=21, pav_id=31)
ALA (2001). American Lifelines Alliance
ALA (2001)
Y =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* XY =
0.00187
0.3048
*
1
2.54
* X
5
0 20 40 60 80 100
0.0
0.5
1.0
1.5
2.0
2.5
3.0
10 30 50 70 900.25
0.75
1.25
1.75
2.25
2.75
O' Rourke & Ayala (1993). HAZUS − FEMA 1999.Factor de corrección igual a 0.3 para tuberías dúctiles
Tipo de Gráfica: Ecuación
O' Rourke & Ayala (1993)Curva de Vulnerabilidad Acueducto y Alcantarillado. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
PGV − Velocidad Pico del Terreno Cm
Seg
Tasa
de
Rep
arac
ione
s (R
epai
r R
ate)
por
Kiló
met
ro
RR
/Km
O' Rourke & Ayala (1993) −− Y =
1
104
* X
2.25 −− (inv_id=22, pav_id=32)
O' Rourke & Ayala (1993)
O' Rourke & Ayala (1993)
Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25Y =
1
104
* X
2.25
6
0 20 40 60 80 100
0.0
0.5
1.0
1.5
10 30 50 70 90
0.25
0.75
1.25
● ● ● ● ●●
●●
●●
●
●
●
●
●
●
●
●
●
●
●
Eidinger & Avila (1999). Eidinger et al. (1995, 1998).Factor de Corrección K1 (material, diámetro, tipo de unión, tipo de suelos)
Tipo de Gráfica: Ecuación
Eidinger & Avila (1999)Curva de Vulnerabilidad Acueducto y Alcantarillado. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
PGV − Velocidad Pico del Terreno Cm
Seg
Tasa
de
Rep
arac
ione
s (R
epai
r R
ate)
por
Kiló
met
ro
RR
/Km
Eidinger & Avila (1999) −− Y =
0.00032
0.3048*2.541.98
* X
1.98 −− (inv_id=23, pav_id=33)
●
Eidinger & Avila (1999)
Eidinger & Avila (1999)
Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98Y =
0.00032
0.3048*2.541.98
* X
1.98
7
0 20 40 60 80 100
0.0
0.2
0.4
0.6
0.8
1.0
10 30 50 70 900.1
0.3
0.5
0.7
0.9
Isoyama (2000)Factores de Corrección: Material (Bp), diámetro (Bd), terreno (Bg), licuefacción (Bl).
Tipo de Gráfica: Ecuación
Isoyama (2000)Curva de Vulnerabilidad Acueducto y Alcantarillado. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
PGV − Velocidad Pico del Terreno Cm
Seg
Tasa
de
Rep
arac
ione
s (R
epai
r R
ate)
por
Kiló
met
ro
RR
/Km
Isoyama (2000) −− Y = 3.11E−3 * (X − 15)1.3 −− (inv_id=24, pav_id=34)
Isoyama (2000)
Isoyama (2000)
Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3
8
0 20 40 60 80 100
0.0
0.2
0.4
0.6
0.8
1.0
10 30 50 70 900.1
0.3
0.5
0.7
0.9
Isoyama (1998)Factores de Corrección: Material (Cp), diámetro (Cd)
Tipo de Gráfica: Ecuación
Isoyama (1998)Curva de Vulnerabilidad Acueducto y Alcantarillado. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
PGV − Velocidad Pico del Terreno Cm
Seg
Tasa
de
Rep
arac
ione
s (R
epai
r R
ate)
por
Kiló
met
ro
RR
/Km
Isoyama (1998) −− Y = 3.11E−3 * (X − 15)1.3 −− (inv_id=25, pav_id=35)
Isoyama (1998)
Isoyama (1998)
Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3
9
0 20 40 60 80 100
0.0
0.2
0.4
0.6
0.8
1.0
10 30 50 70 900.1
0.3
0.5
0.7
0.9
Japan Waterworks Association (1998)Factores de Corrección: Material (Cp), diámetro (Cd), terreno (Cg), licuefacción (Cl).
Tipo de Gráfica: Ecuación
Japan Waterworks Association (1998)Curva de Vulnerabilidad Acueducto y Alcantarillado. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
PGV − Velocidad Pico del Terreno Cm
Seg
Tasa
de
Rep
arac
ione
s (R
epai
r R
ate)
por
Kiló
met
ro
RR
/Km
Japan Waterworks Association (1998) −− Y = 3.11E−3 * (X − 15)1.3 −− (inv_id=26, pav_id=36)
Japan Waterworks Association (1998)
Japan Waterworks Association (1998)
Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3Y = 3.11E−3 * (X − 15)1.3
10
0 160 320 480 640 800
0.0
0.5
1.0
1.5
2.0
80 240
400
560
720
0.25
0.75
1.25
1.75
JICA (2002). Propuesta para Colombia. Pag 4−44.Factores de Corrección: Material (Cp), diámetro (Cd), terreno (Cg), licuefacción (Cl).
Tipo de Gráfica: Datos X,Y
JICA (2002)Curva de Vulnerabilidad Acueducto y Alcantarillado. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
PGA − Aceleración Pico del Terreno (GALES) − 1 GAL = 1 CM
S2
Tasa
de
Rep
arac
ione
s (R
epai
r R
ate)
por
Kiló
met
ro
RR
/Km
JICA (2002) −− Sin formula −− (inv_id=27, pav_id=37)
JICA (2002)
JICA (2002)
11
0 20 40 60 80 100
0.0
0.5
1.0
1.5
10 30 50 70 90
0.25
0.75
1.25
Eidinger − G & E Report (2001). UNIANDES y DPAE (2005)Factores de Corrección: Tipo de juntas (K1), edad tubería (K2), esfuerzos subsidencia (K3)
Tipo de Gráfica: Datos X,Y
Eidinger − G & E (2001)Curva de Vulnerabilidad Acueducto y Alcantarillado. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
PGV − Velocidad Pico del Terreno Cm
Seg
Tasa
de
Rep
arac
ione
s (R
epai
r R
ate)
por
Kiló
met
ro
RR
/Km
Eidinger − G & E (2001) −− Sin formula −− (inv_id=28, pav_id=38)
Eidinger − G & E Report (2001)
Eidinger − G & E (2001)
12
0.0 0.5 1.0 1.5 2.0 2.5 3.0
0.0
0.2
0.4
0.6
0.8
1.0
0.25
0.75
1.25
1.75
2.25
2.75
0.1
0.3
0.5
0.7
0.9
Daño en Puentes. HWB1Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M
Seg2 = 981
Cm
Seg2 = 981 Gales]
Pro
babi
lidad
de
Exc
eden
cia
del E
stad
o de
Dañ
o
Pro
babi
lidad
[Ds
> d
s | S
a]
●
●
●
●
●● ● ● ● ●
Probabilidad >= Leve: Sa=0.4, β=0.6 − (inv_id=29, pav_id=39)Probabilidad >= Moderado: Sa=0.5, β=0.6 − (inv_id=30, pav_id=40)Probabilidad >= Extensivo: Sa=0.7, β=0.6 − (inv_id=31, pav_id=41)Probabilidad >= Completo: Sa=0.9, β=0.6 − (inv_id=32, pav_id=42)
●
Daño en Puentes. HWB1
Probabilidad >= LeveProbabilidad >= Moderado
Probabilidad >= ExtensivoProbabilidad >= Completo
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
13
0 1 2 3 4 5
0.0
0.2
0.4
0.6
0.8
1.0
0.5
1.5
2.5
3.5
4.5
0.1
0.3
0.5
0.7
0.9
Daño en Puentes. HWB2Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M
Seg2 = 981
Cm
Seg2 = 981 Gales]
Pro
babi
lidad
de
Exc
eden
cia
del E
stad
o de
Dañ
o
Pro
babi
lidad
[Ds
> d
s | S
a]
●●
●
●
●
●
●●
● ● ● ● ● ● ● ● ●
Probabilidad >= Leve: Sa=0.6, β=0.6 − (inv_id=33, pav_id=43)Probabilidad >= Moderado: Sa=0.9, β=0.6 − (inv_id=34, pav_id=44)Probabilidad >= Extensivo: Sa=1.1, β=0.6 − (inv_id=35, pav_id=45)Probabilidad >= Completo: Sa=1.7, β=0.6 − (inv_id=36, pav_id=46)
●
Daño en Puentes. HWB2
Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
14
0 1 2 3 4 5
0.0
0.2
0.4
0.6
0.8
1.0
0.5
1.5
2.5
3.5
4.5
0.1
0.3
0.5
0.7
0.9
Daño en Puentes. HWB3Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M
Seg2 = 981
Cm
Seg2 = 981 Gales]
Pro
babi
lidad
de
Exc
eden
cia
del E
stad
o de
Dañ
o
Pro
babi
lidad
[Ds
> d
s | S
a]
●●
●
●
●
●
●
●●
● ● ● ● ● ● ● ●
Probabilidad >= Leve: Sa=0.8, β=0.6 − (inv_id=37, pav_id=47)Probabilidad >= Moderado: Sa=1, β=0.6 − (inv_id=38, pav_id=48)
Probabilidad >= Extensivo: Sa=1.2, β=0.6 − (inv_id=39, pav_id=49)Probabilidad >= Completo: Sa=1.7, β=0.6 − (inv_id=40, pav_id=50)
●
Daño en Puentes. HWB3
Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
15
0.0 0.5 1.0 1.5
0.0
0.2
0.4
0.6
0.8
0.25
0.75
1.25
0.1
0.3
0.5
0.7
0.9
Daño en Puentes. HWB3Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M
Seg2 = 981
Cm
Seg2 = 981 Gales]
Pro
babi
lidad
de
Exc
eden
cia
del E
stad
o de
Dañ
o
Pro
babi
lidad
[Ds
> d
s | S
a]
● ●
●
●
●
●
●
●
●
Probabilidad >= Leve: Sa=0.8, β=0.6 − inv_id=37, pav_id=47Probabilidad >= Moderado: Sa=1, β=0.6 − inv_id=38, pav_id=48
Probabilidad >= Extensivo: Sa=1.2, β=0.6 − inv_id=39, pav_id=49Probabilidad >= Completo: Sa=1.7, β=0.6 − inv_id=40, pav_id=50
●
Daño en Puentes. HWB3
Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
16
0 1 2 3 4 5
0.0
0.2
0.4
0.6
0.8
1.0
0.5
1.5
2.5
3.5
4.5
0.1
0.3
0.5
0.7
0.9
Daño en Puentes. HWB4Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M
Seg2 = 981
Cm
Seg2 = 981 Gales]
Pro
babi
lidad
de
Exc
eden
cia
del E
stad
o de
Dañ
o
Pro
babi
lidad
[Ds
> d
s | S
a]
●●
●
●
●
●
●
●●
● ● ● ● ● ● ● ●
Probabilidad >= Leve: Sa=0.8, β=0.6 − (inv_id=41, pav_id=51)Probabilidad >= Moderado: Sa=1, β=0.6 − (inv_id=42, pav_id=52)
Probabilidad >= Extensivo: Sa=1.2, β=0.6 − (inv_id=43, pav_id=53)Probabilidad >= Completo: Sa=1.7, β=0.6 − (inv_id=44, pav_id=54)
●
Daño en Puentes. HWB4
Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
17
0.0 0.5 1.0 1.5 2.0
0.0
0.2
0.4
0.6
0.8
0.25
0.75
1.25
1.75
0.1
0.3
0.5
0.7
0.9
Daño en Puentes. HWB4Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M
Seg2 = 981
Cm
Seg2 = 981 Gales]
Pro
babi
lidad
de
Exc
eden
cia
del E
stad
o de
Dañ
o
Pro
babi
lidad
[Ds
> d
s | S
a]
● ●
●
●
●
●
●
●
●
●
Probabilidad >= Leve: Sa=0.8, β=0.6 − inv_id=41, pav_id=51Probabilidad >= Moderado: Sa=1, β=0.6 − inv_id=42, pav_id=52
Probabilidad >= Extensivo: Sa=1.2, β=0.6 − inv_id=43, pav_id=53Probabilidad >= Completo: Sa=1.7, β=0.6 − inv_id=44, pav_id=54
●
Daño en Puentes. HWB4
Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
18
0.00 0.25 0.50 0.75 1.00 1.25 1.50 1.75 2.00
0.0
0.2
0.4
0.6
0.8
1.0
0.12
5
0.37
5
0.62
5
0.87
5
1.12
5
1.37
5
1.62
5
1.87
5
0.1
0.3
0.5
0.7
0.9
Daño en Puentes. HWB5Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M
Seg2 = 981
Cm
Seg2 = 981 Gales]
Pro
babi
lidad
de
Exc
eden
cia
del E
stad
o de
Dañ
o
Pro
babi
lidad
[Ds
> d
s | S
a]
●
●
●
●● ● ●
Probabilidad >= Leve: Sa=0.25, β=0.6 − (inv_id=45, pav_id=55)Probabilidad >= Moderado: Sa=0.35, β=0.6 − (inv_id=46, pav_id=56)Probabilidad >= Extensivo: Sa=0.45, β=0.6 − (inv_id=47, pav_id=57)Probabilidad >= Completo: Sa=0.70, β=0.6 − (inv_id=48, pav_id=58)
●
Daño en Puentes. HWB5
Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
19
0.0 0.5 1.0 1.5 2.0 2.5 3.0
0.0
0.2
0.4
0.6
0.8
1.0
0.25
0.75
1.25
1.75
2.25
2.75
0.1
0.3
0.5
0.7
0.9
Daño en Puentes. HWB6Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M
Seg2 = 981
Cm
Seg2 = 981 Gales]
Pro
babi
lidad
de
Exc
eden
cia
del E
stad
o de
Dañ
o
Pro
babi
lidad
[Ds
> d
s | S
a]
●
●
●
●
●● ● ● ● ●
Probabilidad >= Leve: Sa=0.3, β=0.6 − (inv_id=49, pav_id=59)Probabilidad >= Moderado: Sa=0.5, β=0.6 − (inv_id=50, pav_id=60)Probabilidad >= Extensivo: Sa=0.6, β=0.6 − (inv_id=51, pav_id=61)Probabilidad >= Completo: Sa=0.9, β=0.6 − (inv_id=52, pav_id=62)
●
Daño en Puentes. HWB6
Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
20
0 1 2 3 4 5 6
0.0
0.2
0.4
0.6
0.8
1.0
0.5
1.5
2.5
3.5
4.5
5.5
0.1
0.3
0.5
0.7
0.9
Daño en Puentes. HWB7Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M
Seg2 = 981
Cm
Seg2 = 981 Gales]
Pro
babi
lidad
de
Exc
eden
cia
del E
stad
o de
Dañ
o
Pro
babi
lidad
[Ds
> d
s | S
a]
●
●
●
●
●
●
●●
● ● ● ● ● ● ● ● ● ● ● ●
Probabilidad >= Leve: Sa=0.5, β=0.6 − (inv_id=53, pav_id=63)Probabilidad >= Moderado: Sa=0.8, β=0.6 − (inv_id=54, pav_id=64)Probabilidad >= Extensivo: Sa=1.1, β=0.6 − (inv_id=55, pav_id=65)Probabilidad >= Completo: Sa=1.7, β=0.6 − (inv_id=56, pav_id=66)
●
Daño en Puentes. HWB7
Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
21
0.0 0.5 1.0 1.5 2.0
0.0
0.2
0.4
0.6
0.8
1.0
0.25
0.75
1.25
1.75
0.1
0.3
0.5
0.7
0.9
Daño en Puentes. HWB8Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M
Seg2 = 981
Cm
Seg2 = 981 Gales]
Pro
babi
lidad
de
Exc
eden
cia
del E
stad
o de
Dañ
o
Pro
babi
lidad
[Ds
> d
s | S
a]
●
●
●
●
●● ●
Probabilidad >= Leve: Sa=0.35, β=0.6 − (inv_id=57, pav_id=67)Probabilidad >= Moderado: Sa=0.45, β=0.6 − (inv_id=58, pav_id=68)Probabilidad >= Extensivo: Sa=0.55, β=0.6 − (inv_id=59, pav_id=69)Probabilidad >= Completo: Sa=0.8, β=0.6 − (inv_id=60, pav_id=70)
●
Daño en Puentes. HWB8
Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
22
0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0
0.0
0.2
0.4
0.6
0.8
1.0
0.25
0.75
1.25
1.75
2.25
2.75
3.25
3.75
0.1
0.3
0.5
0.7
0.9
Daño en Puentes. HWB9Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M
Seg2 = 981
Cm
Seg2 = 981 Gales]
Pro
babi
lidad
de
Exc
eden
cia
del E
stad
o de
Dañ
o
Pro
babi
lidad
[Ds
> d
s | S
a]
●●
●
●
●
●
●●
● ● ● ● ●
Probabilidad >= Leve: Sa=0.6, β=0.6 − (inv_id=61, pav_id=71)Probabilidad >= Moderado: Sa=0.9, β=0.6 − (inv_id=62, pav_id=72)Probabilidad >= Extensivo: Sa=1.3, β=0.6 − (inv_id=63, pav_id=73)Probabilidad >= Completo: Sa=1.6, β=0.6 − (inv_id=64, pav_id=74)
●
Daño en Puentes. HWB9
Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
23
0 1 2 3 4
0.0
0.2
0.4
0.6
0.8
1.0
0.5
1.5
2.5
3.5
0.1
0.3
0.5
0.7
0.9
Daño en Puentes. HWB10Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M
Seg2 = 981
Cm
Seg2 = 981 Gales]
Pro
babi
lidad
de
Exc
eden
cia
del E
stad
o de
Dañ
o
Pro
babi
lidad
[Ds
> d
s | S
a]
●●
●
●
●
●
●●
● ● ● ● ●
Probabilidad >= Leve: Sa=0.6, β=0.6 − (inv_id=65, pav_id=75)Probabilidad >= Moderado: Sa=0.9, β=0.6 − (inv_id=66, pav_id=76)Probabilidad >= Extensivo: Sa=1.1, β=0.6 − (inv_id=67, pav_id=77)Probabilidad >= Completo: Sa=1.5, β=0.6 − (inv_id=68, pav_id=78)
●
Daño en Puentes. HWB10
Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
24
0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0
0.0
0.2
0.4
0.6
0.8
1.0
0.25
0.75
1.25
1.75
2.25
2.75
3.25
3.75
0.1
0.3
0.5
0.7
0.9
Daño en Puentes. HWB11Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M
Seg2 = 981
Cm
Seg2 = 981 Gales]
Pro
babi
lidad
de
Exc
eden
cia
del E
stad
o de
Dañ
o
Pro
babi
lidad
[Ds
> d
s | S
a]
●●
●
●
●
●
●●
● ● ● ● ●
Probabilidad >= Leve: Sa=0.9, β=0.6 − (inv_id=69, pav_id=79)Probabilidad >= Moderado: Sa=0.9, β=0.6 − (inv_id=70, pav_id=80)Probabilidad >= Extensivo: Sa=1.1, β=0.6 − (inv_id=71, pav_id=81)Probabilidad >= Completo: Sa=1.5, β=0.6 − (inv_id=72, pav_id=82)
●
Daño en Puentes. HWB11
Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
25
0.0 0.5 1.0 1.5 2.0
0.0
0.2
0.4
0.6
0.8
1.0
0.25
0.75
1.25
1.75
0.1
0.3
0.5
0.7
0.9
Daño en Puentes. HWB12Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M
Seg2 = 981
Cm
Seg2 = 981 Gales]
Pro
babi
lidad
de
Exc
eden
cia
del E
stad
o de
Dañ
o
Pro
babi
lidad
[Ds
> d
s | S
a]
●
●
●
●● ● ●
Probabilidad >= Leve: Sa=0.25, β=0.6 − (inv_id=73, pav_id=83)Probabilidad >= Moderado: Sa=0.35, β=0.6 − (inv_id=74, pav_id=84)Probabilidad >= Extensivo: Sa=0.45, β=0.6 − (inv_id=75, pav_id=85)Probabilidad >= Completo: Sa=0.7, β=0.6 − (inv_id=76, pav_id=86)
●
Daño en Puentes. HWB12
Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
26
0.0 0.5 1.0 1.5 2.0 2.5 3.0
0.0
0.2
0.4
0.6
0.8
1.0
0.25
0.75
1.25
1.75
2.25
2.75
0.1
0.3
0.5
0.7
0.9
Daño en Puentes. HWB13Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M
Seg2 = 981
Cm
Seg2 = 981 Gales]
Pro
babi
lidad
de
Exc
eden
cia
del E
stad
o de
Dañ
o
Pro
babi
lidad
[Ds
> d
s | S
a]
●
●
●
●
●● ● ● ● ●
Probabilidad >= Leve: Sa=0.3, β=0.6 − (inv_id=77, pav_id=87)Probabilidad >= Moderado: Sa=0.5, β=0.6 − (inv_id=78, pav_id=88)Probabilidad >= Extensivo: Sa=0.6, β=0.6 − (inv_id=79, pav_id=89)Probabilidad >= Completo: Sa=0.9, β=0.6 − (inv_id=80, pav_id=90)
●
Daño en Puentes. HWB13
Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
27
0 1 2 3 4 5 6
0.0
0.2
0.4
0.6
0.8
1.0
0.5
1.5
2.5
3.5
4.5
5.5
0.1
0.3
0.5
0.7
0.9
Daño en Puentes. HWB14Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M
Seg2 = 981
Cm
Seg2 = 981 Gales]
Pro
babi
lidad
de
Exc
eden
cia
del E
stad
o de
Dañ
o
Pro
babi
lidad
[Ds
> d
s | S
a]
●
●
●
●
●
●
●●
● ● ● ● ● ● ● ● ● ● ● ●
Probabilidad >= Leve: Sa=0.5, β=0.6 − (inv_id=81, pav_id=91)Probabilidad >= Moderado: Sa=0.8, β=0.6 − (inv_id=82, pav_id=92)Probabilidad >= Extensivo: Sa=1.1, β=0.6 − (inv_id=83, pav_id=93)Probabilidad >= Completo: Sa=1.7, β=0.6 − (inv_id=84, pav_id=94)
●
Daño en Puentes. HWB14
Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
28
0.0 0.5 1.0 1.5 2.0 2.5 3.0
0.0
0.2
0.4
0.6
0.8
1.0
0.25
0.75
1.25
1.75
2.25
2.75
0.1
0.3
0.5
0.7
0.9
Daño en Puentes. HWB15Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M
Seg2 = 981
Cm
Seg2 = 981 Gales]
Pro
babi
lidad
de
Exc
eden
cia
del E
stad
o de
Dañ
o
Pro
babi
lidad
[Ds
> d
s | S
a]
●
●
●
●
●
●
●● ● ●
Probabilidad >= Leve: Sa=0.75, β=0.6 − (inv_id=85, pav_id=95)Probabilidad >= Moderado: Sa=0.75, β=0.6 − (inv_id=86, pav_id=96)Probabilidad >= Extensivo: Sa=0.75, β=0.6 − (inv_id=87, pav_id=97)Probabilidad >= Completo: Sa=1.1, β=0.6 − (inv_id=88, pav_id=98)
●
Daño en Puentes. HWB15
Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
29
0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0
0.0
0.2
0.4
0.6
0.8
1.0
0.25
0.75
1.25
1.75
2.25
2.75
3.25
3.75
0.1
0.3
0.5
0.7
0.9
Daño en Puentes. HWB16Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M
Seg2 = 981
Cm
Seg2 = 981 Gales]
Pro
babi
lidad
de
Exc
eden
cia
del E
stad
o de
Dañ
o
Pro
babi
lidad
[Ds
> d
s | S
a]
●●
●
●
●
●
●●
● ● ● ● ●
Probabilidad >= Leve: Sa=0.9, β=0.6 − (inv_id=89, pav_id=99)Probabilidad >= Moderado: Sa=0.9, β=0.6 − (inv_id=90, pav_id=100)Probabilidad >= Extensivo: Sa=1.1, β=0.6 − (inv_id=91, pav_id=101)Probabilidad >= Completo: Sa=1.5, β=0.6 − (inv_id=92, pav_id=102)
●
Daño en Puentes. HWB16
Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
30
0.0 0.5 1.0 1.5 2.0
0.0
0.2
0.4
0.6
0.8
1.0
0.25
0.75
1.25
1.75
0.1
0.3
0.5
0.7
0.9
Daño en Puentes. HWB17Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M
Seg2 = 981
Cm
Seg2 = 981 Gales]
Pro
babi
lidad
de
Exc
eden
cia
del E
stad
o de
Dañ
o
Pro
babi
lidad
[Ds
> d
s | S
a]
●
●
●
●● ● ●
Probabilidad >= Leve: Sa=0.25, β=0.6 − (inv_id=93, pav_id=103)Probabilidad >= Moderado: Sa=0.35, β=0.6 − (inv_id=94, pav_id=104)Probabilidad >= Extensivo: Sa=0.45, β=0.6 − (inv_id=95, pav_id=105)Probabilidad >= Completo: Sa=0.7, β=0.6 − (inv_id=96, pav_id=106)
●
Daño en Puentes. HWB17
Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
31
0.0 0.5 1.0 1.5 2.0 2.5 3.0
0.0
0.2
0.4
0.6
0.8
1.0
0.25
0.75
1.25
1.75
2.25
2.75
0.1
0.3
0.5
0.7
0.9
Daño en Puentes. HWB18Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M
Seg2 = 981
Cm
Seg2 = 981 Gales]
Pro
babi
lidad
de
Exc
eden
cia
del E
stad
o de
Dañ
o
Pro
babi
lidad
[Ds
> d
s | S
a]
●
●
●
●
●● ● ● ● ●
Probabilidad >= Leve: Sa=0.3, β=0.6 − (inv_id=97, pav_id=107)Probabilidad >= Moderado: Sa=0.5, β=0.6 − (inv_id=98, pav_id=108)Probabilidad >= Extensivo: Sa=0.6, β=0.6 − (inv_id=99, pav_id=109)Probabilidad >= Completo: Sa=0.9, β=0.6 − (inv_id=100, pav_id=110)
●
Daño en Puentes. HWB18
Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
32
0 1 2 3 4 5
0.0
0.2
0.4
0.6
0.8
1.0
0.5
1.5
2.5
3.5
4.5
0.1
0.3
0.5
0.7
0.9
Daño en Puentes. HWB19Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M
Seg2 = 981
Cm
Seg2 = 981 Gales]
Pro
babi
lidad
de
Exc
eden
cia
del E
stad
o de
Dañ
o
Pro
babi
lidad
[Ds
> d
s | S
a]
●
●
●
●
●
●
●●
● ● ● ● ● ● ● ● ●
Probabilidad >= Leve: Sa=0.5, β=0.6 − (inv_id=101, pav_id=111)Probabilidad >= Moderado: Sa=0.8, β=0.6 − (inv_id=102, pav_id=112)Probabilidad >= Extensivo: Sa=1.1, β=0.6 − (inv_id=103, pav_id=113)Probabilidad >= Completo: Sa=1.7, β=0.6 − (inv_id=104, pav_id=114)
●
Daño en Puentes. HWB19
Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
33
0.0 0.5 1.0 1.5 2.0
0.0
0.2
0.4
0.6
0.8
1.0
0.25
0.75
1.25
1.75
0.1
0.3
0.5
0.7
0.9
Daño en Puentes. HWB20Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M
Seg2 = 981
Cm
Seg2 = 981 Gales]
Pro
babi
lidad
de
Exc
eden
cia
del E
stad
o de
Dañ
o
Pro
babi
lidad
[Ds
> d
s | S
a]
●
●
●
●
●● ●
Probabilidad >= Leve: Sa=0.35, β=0.6 − (inv_id=105, pav_id=115)Probabilidad >= Moderado: Sa=0.45, β=0.6 − (inv_id=106, pav_id=116)Probabilidad >= Extensivo: Sa=0.55, β=0.6 − (inv_id=107, pav_id=117)Probabilidad >= Completo: Sa=0.8, β=0.6 − (inv_id=108, pav_id=118)
●
Daño en Puentes. HWB20
Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
34
0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0
0.0
0.2
0.4
0.6
0.8
1.0
0.25
0.75
1.25
1.75
2.25
2.75
3.25
3.75
0.1
0.3
0.5
0.7
0.9
Daño en Puentes. HWB21Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M
Seg2 = 981
Cm
Seg2 = 981 Gales]
Pro
babi
lidad
de
Exc
eden
cia
del E
stad
o de
Dañ
o
Pro
babi
lidad
[Ds
> d
s | S
a]
●●
●
●
●
●
●●
● ● ● ● ●
Probabilidad >= Leve: Sa=0.6, β=0.6 − (inv_id=109, pav_id=119)Probabilidad >= Moderado: Sa=0.9, β=0.6 − (inv_id=110, pav_id=120)Probabilidad >= Extensivo: Sa=1.3, β=0.6 − (inv_id=111, pav_id=121)Probabilidad >= Completo: Sa=1.6, β=0.6 − (inv_id=112, pav_id=122)
●
Daño en Puentes. HWB21
Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
35
0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0
0.0
0.2
0.4
0.6
0.8
1.0
0.25
0.75
1.25
1.75
2.25
2.75
3.25
3.75
0.1
0.3
0.5
0.7
0.9
Daño en Puentes. HWB22Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M
Seg2 = 981
Cm
Seg2 = 981 Gales]
Pro
babi
lidad
de
Exc
eden
cia
del E
stad
o de
Dañ
o
Pro
babi
lidad
[Ds
> d
s | S
a]
●●
●
●
●
●
●●
● ● ● ● ●
Probabilidad >= Leve: Sa=0.6, β=0.6 − (inv_id=113, pav_id=123)Probabilidad >= Moderado: Sa=0.9, β=0.6 − (inv_id=114, pav_id=124)Probabilidad >= Extensivo: Sa=1.1, β=0.6 − (inv_id=115, pav_id=125)Probabilidad >= Completo: Sa=1.5, β=0.6 − (inv_id=116, pav_id=126)
●
Daño en Puentes. HWB22
Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
36
0 1 2 3 4 5 6
0.0
0.2
0.4
0.6
0.8
1.0
0.5
1.5
2.5
3.5
4.5
5.5
0.1
0.3
0.5
0.7
0.9
Daño en Puentes. HWB23Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M
Seg2 = 981
Cm
Seg2 = 981 Gales]
Pro
babi
lidad
de
Exc
eden
cia
del E
stad
o de
Dañ
o
Pro
babi
lidad
[Ds
> d
s | S
a]
●●
●
●
●
●
●●
● ● ● ● ● ● ● ● ● ● ● ●
Probabilidad >= Leve: Sa=0.9, β=0.6 − (inv_id=117, pav_id=127)Probabilidad >= Moderado: Sa=0.9, β=0.6 − (inv_id=118, pav_id=128)Probabilidad >= Extensivo: Sa=1.1, β=0.6 − (inv_id=119, pav_id=129)Probabilidad >= Completo: Sa=1.5, β=0.6 − (inv_id=120, pav_id=130)
●
Daño en Puentes. HWB23
Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
37
0.0 0.5 1.0 1.5 2.0
0.0
0.2
0.4
0.6
0.8
1.0
0.25
0.75
1.25
1.75
0.1
0.3
0.5
0.7
0.9
Daño en Puentes. HWB24Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M
Seg2 = 981
Cm
Seg2 = 981 Gales]
Pro
babi
lidad
de
Exc
eden
cia
del E
stad
o de
Dañ
o
Pro
babi
lidad
[Ds
> d
s | S
a]
●
●
●
●● ● ●
Probabilidad >= Leve: Sa=0.25, β=0.6 − (inv_id=121, pav_id=131)Probabilidad >= Moderado: Sa=0.35, β=0.6 − (inv_id=122, pav_id=132)Probabilidad >= Extensivo: Sa=0.45, β=0.6 − (inv_id=123, pav_id=133)Probabilidad >= Completo: Sa=0.70, β=0.6 − (inv_id=124, pav_id=134)
●
Daño en Puentes. HWB24
Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
38
0.0 0.5 1.0 1.5 2.0 2.5 3.0
0.0
0.2
0.4
0.6
0.8
1.0
0.25
0.75
1.25
1.75
2.25
2.75
0.1
0.3
0.5
0.7
0.9
Daño en Puentes. HWB25Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M
Seg2 = 981
Cm
Seg2 = 981 Gales]
Pro
babi
lidad
de
Exc
eden
cia
del E
stad
o de
Dañ
o
Pro
babi
lidad
[Ds
> d
s | S
a]
●
●
●
●
●● ● ● ● ●
Probabilidad >= Leve: Sa=0.3, β=0.6 − (inv_id=125, pav_id=135)Probabilidad >= Moderado: Sa=0.5, β=0.6 − (inv_id=126, pav_id=136)Probabilidad >= Extensivo: Sa=0.6, β=0.6 − (inv_id=127, pav_id=137)Probabilidad >= Completo: Sa=0.9, β=0.6 − (inv_id=128, pav_id=138)
●
Daño en Puentes. HWB25
Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
39
0.0 0.5 1.0 1.5 2.0 2.5 3.0
0.0
0.2
0.4
0.6
0.8
1.0
0.25
0.75
1.25
1.75
2.25
2.75
0.1
0.3
0.5
0.7
0.9
Daño en Puentes. HWB26Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M
Seg2 = 981
Cm
Seg2 = 981 Gales]
Pro
babi
lidad
de
Exc
eden
cia
del E
stad
o de
Dañ
o
Pro
babi
lidad
[Ds
> d
s | S
a]
●
●
●
●
●
●
●● ● ●
Probabilidad >= Leve: Sa=0.75, β=0.6 − (inv_id=129, pav_id=139)Probabilidad >= Moderado: Sa=0.75, β=0.6 − (inv_id=130, pav_id=140)Probabilidad >= Extensivo: Sa=0.75, β=0.6 − (inv_id=131, pav_id=141)Probabilidad >= Completo: Sa=1.1, β=0.6 − (inv_id=132, pav_id=142)
●
Daño en Puentes. HWB26
Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
P[ds|Sa] = Φ
1
βds
ln
Sa
Sads
40
0.0 0.5 1.0 1.5 2.0 2.5 3.0
0.0
0.2
0.4
0.6
0.8
1.0
0.25
0.75
1.25
1.75
2.25
2.75
0.1
0.3
0.5
0.7
0.9
Daño en Puentes. HWB27Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M
Seg2 = 981
Cm
Seg2 = 981 Gales]
Pro
babi
lidad
de
Exc
eden
cia
del E
stad
o de
Dañ
o
Pro
babi
lidad
[Ds
> d
s | S
a]
●
●
●
●
●
●
●● ● ●
Probabilidad >= Leve: Sa=0.7, β=0.6 − (inv_id=133, pav_id=143)Probabilidad >= Moderado: Sa=0.75, β=0.6 − (inv_id=134, pav_id=144)Probabilidad >= Extensivo: Sa=0.75, β=0.6 − (inv_id=135, pav_id=145)Probabilidad >= Completo: Sa=1.1, β=0.6 − (inv_id=136, pav_id=146)
●
Daño en Puentes. HWB27
Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo
% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds
41
0 1 2 3 4 5
0.0
0.2
0.4
0.6
0.8
1.0
0.5
1.5
2.5
3.5
4.5
0.1
0.3
0.5
0.7
0.9
Daño en Puentes. HWB28Sa a 1 seg en (g's). Tipo de Gráfica: LOGNORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 7−12 Tabla 7.7)Curva de Vulnerabilidad Puentes. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
Sa − Aceleración Espectral a 1 Seg (g's) [1g=9.81M
Seg2 = 981
Cm
Seg2 = 981 Gales]
Pro
babi
lidad
de
Exc
eden
cia
del E
stad
o de
Dañ
o
Pro
babi
lidad
[Ds
> d
s | S
a]
●●
●
●
●
●
●
●●
● ● ● ● ● ● ● ●
Probabilidad >= Leve: Sa=0.8, β=0.6 − (inv_id=137, pav_id=147)Probabilidad >= Moderado: Sa=1, β=0.6 − (inv_id=138, pav_id=148)
Probabilidad >= Extensivo: Sa=1.2, β=0.6 − (inv_id=139, pav_id=149)Probabilidad >= Completo: Sa=1.7, β=0.6 − (inv_id=140, pav_id=150)
●
Daño en Puentes. HWB28
Probabilidad >= LeveProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo
% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds
42
1e−02 5e−02 5e−01 5e+00 5e+01 5e+02
020
4060
8010
0
0.01
0.02
0.03 0.
10.
1
0.2
0.3 11 2 3 1010 20 30 100
100
200
300
1000
10
30
50
70
90
Plantas de Tratamiento AguaAcueducto.
Tipo de Gráfica: NORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 8−10 Tabla 8.1.a)Función de Restauración Plantas de Tratamiento
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
Tiempo (Días)
Por
cent
aje
Fun
cion
al
%
● ● ●●
●
●
●
● ● ● ● ● ● ● ●
Leve/Menor: µ (Días)=0.9, σ (Días)=0.3 − (inv_id=141, pav_id=151)Moderado: µ (Días)=1.9, σ (Días)=1.2 − (inv_id=142, pav_id=152)Extensivo: µ (Días)=32, σ (Días)=31 − (inv_id=143, pav_id=153)Completo: µ (Días)=95, σ (Días)=65 − (inv_id=144, pav_id=154)
●
Plantas de Tratamiento Agua
Leve/MenorModeradoExtensivoCompleto
% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds
43
1e−02 5e−02 1e−01 5e−01 1e+00 5e+00 1e+01 5e+01 1e+02
020
4060
8010
0
0.03 0.3 3 30
10
30
50
70
90
Plantas de Bombeo AguaAcueducto.
Tipo de Gráfica: NORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 8−10 Tabla 8.1.a)Función de Restauración Plantas de Bombeo
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
Tiempo (Días)
Por
cent
aje
Fun
cion
al
%
● ● ●●
●
●
●
●
● ● ● ●
Leve/Menor: µ (Días)=0.9, σ (Días)=0.3 − (inv_id=145, pav_id=155)Moderado: µ (Días)=3.1, σ (Días)=2.7 − (inv_id=146, pav_id=156)Extensivo: µ (Días)=13.5, σ (Días)=10 − (inv_id=147, pav_id=157)Completo: µ (Días)=35, σ (Días)=18 − (inv_id=148, pav_id=158)
●
Plantas de Bombeo Agua
Leve/MenorModeradoExtensivoCompleto
% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds
44
1e−02 5e−02 1e−01 5e−01 1e+00 5e+00 1e+01 5e+01 1e+02
020
4060
8010
0
0.02
0.03 0.2
0.3 2 3 20 30
10
30
50
70
90
Pozos de AguaAcueducto.
Tipo de Gráfica: NORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 8−10 Tabla 8.1.a)Función de Restauración Pozos de Agua
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
Tiempo (Días)
Por
cent
aje
Fun
cion
al
%
● ● ●
●
●
●
●
● ● ● ● ●
Leve/Menor: µ (Días)=0.8, σ (Días)=0.2 − (inv_id=149, pav_id=159)Moderado: µ (Días)=1.5, σ (Días)=1.2 − (inv_id=150, pav_id=160)Extensivo: µ (Días)=10.5, σ (Días)=7.5 − (inv_id=151, pav_id=161)
Completo: µ (Días)=26, σ (Días)=14 − (inv_id=152, pav_id=162)
●
Pozos de Agua
Leve/MenorModeradoExtensivoCompleto
% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds
45
1e−02 5e−02 5e−01 5e+00 5e+01 5e+02
020
4060
8010
0
0.01
0.02
0.03 0.
10.
1
0.2
0.3 11 2 3 1010 20 30 100
100
200
300
1000
10
30
50
70
90
Tantes de Almacenamiento de AguaAcueducto.
Tipo de Gráfica: NORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 8−10 Tabla 8.1.a)Función de Restauración Tanques de Almacenamiento
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
Tiempo (Días)
Por
cent
aje
Fun
cion
al
%
● ● ●●
●
●
●
●
● ● ● ● ● ● ●
Leve/Menor: µ (Días)=1.2, σ (Días)=0.4 − (inv_id=153, pav_id=163)Moderado: µ (Días)=3.1, σ (Días)=2.7 − (inv_id=154, pav_id=164)Extensivo: µ (Días)=93, σ (Días)=85 − (inv_id=155, pav_id=165)
Completo: µ (Días)=155, σ (Días)=120 − (inv_id=156, pav_id=166)
●
Tantes de Almacenamiento de Agua
Leve/MenorModeradoExtensivoCompleto
% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds
46
0.0 0.5 1.0 1.5 2.0 2.5 3.0
0.0
0.2
0.4
0.6
0.8
1.0
0.25
0.75
1.25
1.75
2.25
2.75
0.1
0.3
0.5
0.7
0.9
Daño Plantas de Tratamiento − PWT1Subcomponentes Anclados. Acueducto. Plantas Pequeñas
Tipo de Gráfica: LOGNORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 8−14 Tabla 8.3)Curva de Vulnerabilidad Plantas de Tratamiento de Acueducto. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
PGA − Aceleración Pico del Terreno (g's) [1g=9.81M
Seg2 = 981
Cm
Seg2 = 981 Gales]
Pro
babi
lidad
de
Exc
eden
cia
del E
stad
o de
Dañ
o
Pro
babi
lidad
[Ds
> d
s | P
GA
]
●●
●
●
●
●● ● ● ● ● ● ● ● ● ● ● ● ●
Probabilidad >= Leve/Menor: PGA=0.25, β=0.5 − (inv_id=157, pav_id=167)Probabilidad >= Moderado: PGA=0.38, β=0.5 − (inv_id=158, pav_id=168)Probabilidad >= Extensivo: PGA=0.53, β=0.6 − (inv_id=159, pav_id=169)Probabilidad >= Completo: PGA=0.83, β=0.6 − (inv_id=160, pav_id=170)
●
Daño Plantas de Tratamiento − PWT1
Probabilidad >= Leve/MenorProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
47
0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0
0.0
0.2
0.4
0.6
0.8
1.0
0.25
0.75
1.25
1.75
2.25
2.75
3.25
3.75
0.1
0.3
0.5
0.7
0.9
Daño Plantas de Tratamiento − PWT2Subcomponentes No Anclados. Acueducto. Plantas Pequeñas
Tipo de Gráfica: LOGNORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 8−14 Tabla 8.3)Curva de Vulnerabilidad Plantas de Tratamiento de Acueducto. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
PGA − Aceleración Pico del Terreno (g's) [1g=9.81M
Seg2 = 981
Cm
Seg2 = 981 Gales]
Pro
babi
lidad
de
Exc
eden
cia
del E
stad
o de
Dañ
o
Pro
babi
lidad
[Ds
> d
s | P
GA
]
●
●
●
●
● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●
Probabilidad >= Leve/Menor: PGA=0.16, β=0.4 − (inv_id=161, pav_id=171)Probabilidad >= Moderado: PGA=0.27, β=0.4 − (inv_id=162, pav_id=172)Probabilidad >= Extensivo: PGA=0.53, β=0.6 − (inv_id=163, pav_id=173)Probabilidad >= Completo: PGA=1.7, β=0.6 − (inv_id=164, pav_id=174)
●
Daño Plantas de Tratamiento − PWT2
Probabilidad >= Leve/MenorProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
48
0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0
0.0
0.2
0.4
0.6
0.8
1.0
0.25
0.75
1.25
1.75
2.25
2.75
3.25
3.75
0.1
0.3
0.5
0.7
0.9
Daño Plantas de Tratamiento − PWT3Subcomponentes Anclados. Acueducto. Plantas Medianas
Tipo de Gráfica: LOGNORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 8−14 Tabla 8.4)Curva de Vulnerabilidad Plantas de Tratamiento de Acueducto. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
PGA − Aceleración Pico del Terreno (g's) [1g=9.81M
Seg2 = 981
Cm
Seg2 = 981 Gales]
Pro
babi
lidad
de
Exc
eden
cia
del E
stad
o de
Dañ
o
Pro
babi
lidad
[Ds
> d
s | P
GA
]
● ●
●
●
●
●
●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●
Probabilidad >= Leve/Menor: PGA=0.37, β=0.4 − (inv_id=165, pav_id=175)Probabilidad >= Moderado: PGA=0.52, β=0.4 − (inv_id=166, pav_id=176)Probabilidad >= Extensivo: PGA=0.73, β=0.5 − (inv_id=167, pav_id=177)Probabilidad >= Completo: PGA=1.28, β=0.5 − (inv_id=168, pav_id=178)
●
Daño Plantas de Tratamiento − PWT3
Probabilidad >= Leve/MenorProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
49
0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0
0.0
0.2
0.4
0.6
0.8
1.0
0.25
0.75
1.25
1.75
2.25
2.75
3.25
3.75
0.1
0.3
0.5
0.7
0.9
Daño Plantas de Tratamiento − PWT4Subcomponentes No Anclados. Acueducto. Plantas Medianas
Tipo de Gráfica: LOGNORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 8−14 Tabla 8.4)Curva de Vulnerabilidad Plantas de Tratamiento de Acueducto. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
PGA − Aceleración Pico del Terreno (g's) [1g=9.81M
Seg2 = 981
Cm
Seg2 = 981 Gales]
Pro
babi
lidad
de
Exc
eden
cia
del E
stad
o de
Dañ
o
Pro
babi
lidad
[Ds
> d
s | P
GA
]
●●
●
●
●
● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●
Probabilidad >= Leve/Menor: PGA=0.2, β=0.4 − (inv_id=169, pav_id=179)Probabilidad >= Moderado: PGA=0.35, β=0.4 − (inv_id=170, pav_id=180)Probabilidad >= Extensivo: PGA=0.75, β=0.5 − (inv_id=171, pav_id=181)Probabilidad >= Completo: PGA=1.28, β=0.5 − (inv_id=172, pav_id=182)
●
Daño Plantas de Tratamiento − PWT4
Probabilidad >= Leve/MenorProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
50
0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0
0.0
0.2
0.4
0.6
0.8
1.0
0.25
0.75
1.25
1.75
2.25
2.75
3.25
3.75
0.1
0.3
0.5
0.7
0.9
Daño Plantas de Tratamiento − PWT5Subcomponentes Anclados. Acueducto. Plantas Grandes
Tipo de Gráfica: LOGNORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 8−14 Tabla 8.5)Curva de Vulnerabilidad Plantas de Tratamiento de Acueducto. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
PGA − Aceleración Pico del Terreno (g's) [1g=9.81M
Seg2 = 981
Cm
Seg2 = 981 Gales]
Pro
babi
lidad
de
Exc
eden
cia
del E
stad
o de
Dañ
o
Pro
babi
lidad
[Ds
> d
s | P
GA
]
● ●
●
●
●
●
●
●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●
Probabilidad >= Leve/Menor: PGA=0.44, β=0.4 − (inv_id=173, pav_id=183)Probabilidad >= Moderado: PGA=0.58, β=0.4 − (inv_id=174, pav_id=184)Probabilidad >= Extensivo: PGA=0.87, β=0.45 − (inv_id=175, pav_id=185)Probabilidad >= Completo: PGA=1.57, β=0.45 − (inv_id=176, pav_id=186)
●
Daño Plantas de Tratamiento − PWT5
Probabilidad >= Leve/MenorProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
51
0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0
0.0
0.2
0.4
0.6
0.8
1.0
0.25
0.75
1.25
1.75
2.25
2.75
3.25
3.75
0.1
0.3
0.5
0.7
0.9
Daño Plantas de Tratamiento − PWT6Subcomponentes No Anclados. Acueducto. Plantas Grandes
Tipo de Gráfica: LOGNORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 8−14 Tabla 8.5)Curva de Vulnerabilidad Plantas de Tratamiento de Acueducto. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
PGA − Aceleración Pico del Terreno (g's) [1g=9.81M
Seg2 = 981
Cm
Seg2 = 981 Gales]
Pro
babi
lidad
de
Exc
eden
cia
del E
stad
o de
Dañ
o
Pro
babi
lidad
[Ds
> d
s | P
GA
]
●
●
●
●
●
●●
● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●
Probabilidad >= Leve/Menor: PGA=0.22, β=0.6 − (inv_id=177, pav_id=187)Probabilidad >= Moderado: PGA=0.35, β=0.6 − (inv_id=178, pav_id=188)Probabilidad >= Extensivo: PGA=0.87, β=0.6 − (inv_id=179, pav_id=189)Probabilidad >= Completo: PGA=1.57, β=0.6 − (inv_id=180, pav_id=190)
●
Daño Plantas de Tratamiento − PWT6
Probabilidad >= Leve/MenorProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
52
0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0
0.0
0.2
0.4
0.6
0.8
1.0
0.25
0.75
1.25
1.75
2.25
2.75
3.25
3.75
0.1
0.3
0.5
0.7
0.9
Daño Plantas de Bombeo / Estación Elevadora − PPP1Subcomponentes Anclados. Acueducto. Plantas Pequeñas
Tipo de Gráfica: LOGNORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 8−15 Tabla 8.6)Curva de Vulnerabilidad Plantas de Bombeo de Acueducto. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
PGA − Aceleración Pico del Terreno (g's) [1g=9.81M
Seg2 = 981
Cm
Seg2 = 981 Gales]
Pro
babi
lidad
de
Exc
eden
cia
del E
stad
o de
Dañ
o
Pro
babi
lidad
[Ds
> d
s | P
GA
]
●
●
●
●
●
●●
● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●
Probabilidad >= Leve/Menor: PGA=0.15, β=0.7 − (inv_id=181, pav_id=191)Probabilidad >= Moderado: PGA=0.36, β=0.65 − (inv_id=182, pav_id=192)Probabilidad >= Extensivo: PGA=0.66, β=0.65 − (inv_id=183, pav_id=193)
Probabilidad >= Completo: PGA=1.5, β=0.8 − (inv_id=184, pav_id=194)
●
Daño Plantas de Bombeo / Estación Elevadora − PPP1
Probabilidad >= Leve/MenorProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
53
0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0
0.0
0.2
0.4
0.6
0.8
1.0
0.25
0.75
1.25
1.75
2.25
2.75
3.25
3.75
0.1
0.3
0.5
0.7
0.9
Daño Plantas de Bombeo / Estación Elevadora − PPP2Subcomponentes No Anclados. Acueducto. Plantas Pequeñas
Tipo de Gráfica: LOGNORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 8−15 Tabla 8.6)Curva de Vulnerabilidad Plantas de Bombeo de Acueducto. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
PGA − Aceleración Pico del Terreno (g's) [1g=9.81M
Seg2 = 981
Cm
Seg2 = 981 Gales]
Pro
babi
lidad
de
Exc
eden
cia
del E
stad
o de
Dañ
o
Pro
babi
lidad
[Ds
> d
s | P
GA
]
●
●
●
●
●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●
Probabilidad >= Leve/Menor: PGA=0.13, β=0.6 − (inv_id=185, pav_id=195)Probabilidad >= Moderado: PGA=0.28, β=0.5 − (inv_id=186, pav_id=196)Probabilidad >= Extensivo: PGA=0.66, β=0.65 − (inv_id=187, pav_id=197)
Probabilidad >= Completo: PGA=1.5, β=0.8 − (inv_id=188, pav_id=198)
●
Daño Plantas de Bombeo / Estación Elevadora − PPP2
Probabilidad >= Leve/MenorProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
54
0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0
0.0
0.2
0.4
0.6
0.8
1.0
0.25
0.75
1.25
1.75
2.25
2.75
3.25
3.75
0.1
0.3
0.5
0.7
0.9
Daño Plantas de Bombeo / Estación Elevadora − PPP3Subcomponentes Anclados. Acueducto. Plantas Medianas y Grandes
Tipo de Gráfica: LOGNORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 8−15 Tabla 8.7)Curva de Vulnerabilidad Plantas de Bombeo de Acueducto. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
PGA − Aceleración Pico del Terreno (g's) [1g=9.81M
Seg2 = 981
Cm
Seg2 = 981 Gales]
Pro
babi
lidad
de
Exc
eden
cia
del E
stad
o de
Dañ
o
Pro
babi
lidad
[Ds
> d
s | P
GA
]
●
●
●
●
●
●●
● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●
Probabilidad >= Leve/Menor: PGA=0.15, β=0.75 − (inv_id=189, pav_id=199)Probabilidad >= Moderado: PGA=0.36, β=0.65 − (inv_id=190, pav_id=200)Probabilidad >= Extensivo: PGA=0.77, β=0.65 − (inv_id=191, pav_id=201)
Probabilidad >= Completo: PGA=1.5, β=0.8 − (inv_id=192, pav_id=202)
●
Daño Plantas de Bombeo / Estación Elevadora − PPP3
Probabilidad >= Leve/MenorProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
55
0 1 2 3 4 5
0.0
0.2
0.4
0.6
0.8
1.0
0.5
1.5
2.5
3.5
4.5
0.1
0.3
0.5
0.7
0.9
Daño Plantas de Bombeo / Estación Elevadora − PPP4Subcomponentes No Anclados. Acueducto. Plantas Medianas y Grandes
Tipo de Gráfica: LOGNORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 8−15 Tabla 8.7)Curva de Vulnerabilidad Plantas de Bombeo de Acueducto. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
PGA − Aceleración Pico del Terreno (g's) [1g=9.81M
Seg2 = 981
Cm
Seg2 = 981 Gales]
Pro
babi
lidad
de
Exc
eden
cia
del E
stad
o de
Dañ
o
Pro
babi
lidad
[Ds
> d
s | P
GA
]
●
●
●
●
●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●
Probabilidad >= Leve/Menor: PGA=0.13, β=0.6 − (inv_id=193, pav_id=203)Probabilidad >= Moderado: PGA=0.28, β=0.5 − (inv_id=194, pav_id=204)Probabilidad >= Extensivo: PGA=0.77, β=0.65 − (inv_id=195, pav_id=205)
Probabilidad >= Completo: PGA=1.5, β=0.8 − (inv_id=196, pav_id=206)
●
Daño Plantas de Bombeo / Estación Elevadora − PPP4
Probabilidad >= Leve/MenorProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
56
0 1 2 3 4 5
0.0
0.2
0.4
0.6
0.8
1.0
0.5
1.5
2.5
3.5
4.5
0.1
0.3
0.5
0.7
0.9
Daño Pozos de Agua Potable − PWE1. Acueducto
Tipo de Gráfica: LOGNORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 8−15 Tabla 8.8)Curva de Vulnerabilidad Pozos de Agua Potable. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
PGA − Aceleración Pico del Terreno (g's) [1g=9.81M
Seg2 = 981
Cm
Seg2 = 981 Gales]
Pro
babi
lidad
de
Exc
eden
cia
del E
stad
o de
Dañ
o
Pro
babi
lidad
[Ds
> d
s | P
GA
]
●
●
●
●
●
●●
● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●
Probabilidad >= Leve/Menor: PGA=0.15, β=0.75 − (inv_id=197, pav_id=207)Probabilidad >= Moderado: PGA=0.36, β=0.65 − (inv_id=198, pav_id=208)Probabilidad >= Extensivo: PGA=0.72, β=0.65 − (inv_id=199, pav_id=209)
Probabilidad >= Completo: PGA=1.5, β=0.8 − (inv_id=200, pav_id=210)
●
Daño Pozos de Agua Potable − PWE1
Probabilidad >= Leve/MenorProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
57
0 1 2 3 4 5
0.0
0.2
0.4
0.6
0.8
1.0
0.5
1.5
2.5
3.5
4.5
0.1
0.3
0.5
0.7
0.9
Daño Tanques de Agua Potable − On−Ground − AncladoConcreto − PST1. Acueducto
Tipo de Gráfica: LOGNORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 8−16 Tabla 8.9)Curva de Vulnerabilidad Tanques de Agua Potable. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
PGA − Aceleración Pico del Terreno (g's) [1g=9.81M
Seg2 = 981
Cm
Seg2 = 981 Gales]
Pro
babi
lidad
de
Exc
eden
cia
del E
stad
o de
Dañ
o
Pro
babi
lidad
[Ds
> d
s | P
GA
]
●
●
●
●
●
●
●
●●
●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ●
Probabilidad >= Leve/Menor: PGA=0.25, β=0.55 − (inv_id=201, pav_id=211)Probabilidad >= Moderado: PGA=0.52, β=0.7 − (inv_id=202, pav_id=212)Probabilidad >= Extensivo: PGA=0.95, β=0.6 − (inv_id=203, pav_id=213)Probabilidad >= Completo: PGA=1.64, β=0.7 − (inv_id=204, pav_id=214)
●
Daño Tanques de Agua Potable − On−Ground − Anclado
Probabilidad >= Leve/MenorProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
58
0.0 0.5 1.0 1.5 2.0 2.5 3.0
0.0
0.2
0.4
0.6
0.8
1.0
0.25
0.75
1.25
1.75
2.25
2.75
0.1
0.3
0.5
0.7
0.9
Daño Tanques de Agua Potable − On−Ground − No AncladoConcreto − PST2. Acueducto
Tipo de Gráfica: LOGNORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 8−16 Tabla 8.9)Curva de Vulnerabilidad Tanques de Agua Potable. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
PGA − Aceleración Pico del Terreno (g's) [1g=9.81M
Seg2 = 981
Cm
Seg2 = 981 Gales]
Pro
babi
lidad
de
Exc
eden
cia
del E
stad
o de
Dañ
o
Pro
babi
lidad
[Ds
> d
s | P
GA
]
●
●
●
●
●
●
●●
● ● ● ● ● ● ● ● ● ● ●
Probabilidad >= Leve/Menor: PGA=0.18, β=0.6 − (inv_id=205, pav_id=215)Probabilidad >= Moderado: PGA=0.42, β=0.7 − (inv_id=206, pav_id=216)Probabilidad >= Extensivo: PGA=0.7, β=0.55 − (inv_id=207, pav_id=217)Probabilidad >= Completo: PGA=1.04, β=0.6 − (inv_id=208, pav_id=218)
●
Daño Tanques de Agua Potable − On−Ground − No Anclado
Probabilidad >= Leve/MenorProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
59
1e−02 5e−02 1e−01 5e−01 1e+00 5e+00 1e+01 5e+01 1e+02
020
4060
8010
0
0.02
0.03 0.2
0.3 2 3 20 30
10
30
50
70
90
Vías
Tipo de Gráfica: NORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 7−10 Tabla 7.4)Función de Restauración Vías
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
Tiempo (Días)
Por
cent
aje
Fun
cion
al
%
● ● ●●
●
●
●
●
● ● ● ●
Leve/Menor: µ (Días)=0.9, σ (Días)=0.05 − (inv_id=209, pav_id=219)Moderado: µ (Días)=2.2, σ (Días)=1.8 − (inv_id=210, pav_id=220)Extensivo: µ (Días)=21, σ (Días)=16 − (inv_id=211, pav_id=221)Completo: µ (Días)=21, σ (Días)=16 − (inv_id=212, pav_id=222)
●
Vías
Leve/MenorModeradoExtensivoCompleto
% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds
60
1e−02 5e−02 5e−01 5e+00 5e+01 5e+02
020
4060
8010
0
0.01
0.02
0.03 0.
10.
1
0.2
0.3 11 2 3 1010 20 30 100
100
200
300
1000
10
30
50
70
90
Puentes
Tipo de Gráfica: NORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 7−10 Tabla 7.4)Función de Restauración Puentes
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
Tiempo (Días)
Por
cent
aje
Fun
cion
al
%
● ● ●●
●
●
●
●
● ● ● ● ● ● ●
Leve/Menor: µ (Días)=0.6, σ (Días)=0.6 − (inv_id=213, pav_id=223)Moderado: µ (Días)=2.5, σ (Días)=2.7 − (inv_id=214, pav_id=224)Extensivo: µ (Días)=75, σ (Días)=42 − (inv_id=215, pav_id=225)
Completo: µ (Días)=230, σ (Días)=110 − (inv_id=216, pav_id=226)
●
Puentes
Leve/MenorModeradoExtensivoCompleto
% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds
61
0 1 2 3 4 5 6
0.0
0.2
0.4
0.6
0.8
1.0
0.5
1.5
2.5
3.5
4.5
5.5
0.1
0.3
0.5
0.7
0.9
Daño Tanques de Agua Potable − At Grade − No AncladoConcreto > 1 millón Galones. Factor de Daño: 0.015
Tipo de Gráfica: LOGNORMAL
Seismic Fragility Formulations for Water Systems − Part 1 Guideline − Pag 77 − Table 5−9Curva de Vulnerabilidad Tanques de Agua Potable. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
PGA − Aceleración Pico del Terreno (g's) [1g=9.81M
Seg2 = 981
Cm
Seg2 = 981 Gales]
Pro
babi
lidad
de
Exc
eden
cia
del E
stad
o de
Dañ
o
Pro
babi
lidad
[Ds
> d
s | P
GA
]
● ●
●
●
●
●
●
●● ● ● ● ● ● ● ● ● ● ● ●
Uplift of Wall − Leve Leakage: PGA=2, β=0.45 − (inv_id=217, pav_id=227)Cracking of Tank Wall − Loss of Contents: PGA=1.05, β=0.45 − (inv_id=218, pav_id=228)
Sliding of Talk Wall − Leve Leakage: PGA=0.25, β=0.45 − (inv_id=219, pav_id=229)Major Hoop Over−Stress − Loss of Contents: PGA=0.75, β=0.45 − (inv_id=220, pav_id=230)
Leve Hoop Over−Stress − Leve Leakage: PGA=0.45, β=0.45 − (inv_id=221, pav_id=231)Roof Failure: PGA=2.6, β=0.45 − (inv_id=222, pav_id=232)
●
Daño Tanques de Agua Potable − At Grade − No Anclado
Uplift of Wall − Leve LeakageCracking of Tank Wall − Loss of ContentsSliding of Talk Wall − Leve LeakageMajor Hoop Over−Stress − Loss of ContentsLeve Hoop Over−Stress − Leve LeakageRoof Failure
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
62
0 1 2 3 4 5 6
0.0
0.2
0.4
0.6
0.8
1.0
0.5
1.5
2.5
3.5
4.5
5.5
0.1
0.3
0.5
0.7
0.9
Daño Tanques de Agua Potable − At Grade − No AncladoConcreto > 1 millón Galones. Factor de Daño: 0.015
Tipo de Gráfica: LOGNORMAL
Seismic Fragility Formulations for Water Systems − Part 1 Guideline − Pag 77 − Table 5−9Curva de Vulnerabilidad Tanques de Agua Potable. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
PGA − Aceleración Pico del Terreno (g's) [1g=9.81M
Seg2 = 981
Cm
Seg2 = 981 Gales]
Pro
babi
lidad
de
Exc
eden
cia
del E
stad
o de
Dañ
o
Pro
babi
lidad
[Ds
> d
s | P
GA
]
● ●
●
●
●
●
●
●●
● ● ● ● ● ● ● ● ● ● ●
Uplift of Wall − Leve Leakage: PGA=2, β=0.45 − (inv_id=217, pav_id=227)Cracking of Tank Wall − Loss of Contents: PGA=1.05, β=0.45 − (inv_id=218, pav_id=228)
Sliding of Talk Wall − Leve Leakage: PGA=0.25, β=0.45 − (inv_id=219, pav_id=229)Major Hoop Over−Stress − Loss of Contents: PGA=0.75, β=0.45 − (inv_id=220, pav_id=230)
Leve Hoop Over−Stress − Leve Leakage: PGA=0.45, β=0.45 − (inv_id=221, pav_id=231)Roof Failure: PGA=2.6, β=0.45 − (inv_id=222, pav_id=232)
●
Daño Tanques de Agua Potable − At Grade − No Anclado
Uplift of Wall − Leve LeakageCracking of Tank Wall − Loss of ContentsSliding of Talk Wall − Leve LeakageMajor Hoop Over−Stress − Loss of ContentsLeve Hoop Over−Stress − Leve LeakageRoof Failure
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
63
0 2 4 6 8
0.0
0.2
0.4
0.6
0.8
1.0
1 3 5 70.1
0.3
0.5
0.7
0.9
Daño Tanques de Agua Potable − At Grade − AncladoConcreto − 50 a 1 millón de Galones. Factor de Daño: 0.1
Tipo de Gráfica: LOGNORMAL
Seismic Fragility Formulations for Water Systems − Part 1 Guideline − Pag 78 − Table 5−15Curva de Vulnerabilidad Tanques de Agua Potable. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
PGA − Aceleración Pico del Terreno (g's) [1g=9.81M
Seg2 = 981
Cm
Seg2 = 981 Gales]
Pro
babi
lidad
de
Exc
eden
cia
del E
stad
o de
Dañ
o
Pro
babi
lidad
[Ds
> d
s | P
GA
]
●
●
●
●
●● ● ● ● ● ● ● ●
Uplift − Crush Concrete: PGA=1.3, β=0.5 − (inv_id=223, pav_id=233)Sliding: PGA=1.1, β=0.5 − (inv_id=224, pav_id=234)
Shearing of Tank Wall: PGA=1.6, β=0.5 − (inv_id=225, pav_id=235)Hoop Overstress: PGA=4.1, β=0.5 − (inv_id=226, pav_id=236)
●
Daño Tanques de Agua Potable − At Grade − Anclado
Uplift − Crush ConcreteSlidingShearing of Tank WallHoop Overstress
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
64
0.0 0.5 1.0 1.5 2.0
0.0
0.2
0.4
0.6
0.8
1.0
0.25
0.75
1.25
1.75
0.1
0.3
0.5
0.7
0.9
Daño Plantas de TratamientoWWT1 − Componentes Anclados. Alcantarillado. Plantas Pequeñas
Tipo de Gráfica: LOGNORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 8−39 Tabla 8.13)Curva de Vulnerabilidad Plantas de Tratamiento de Alcantarillado. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
PGA − Aceleración Pico del Terreno (g's) [1g=9.81M
Seg2 = 981
Cm
Seg2 = 981 Gales]
Pro
babi
lidad
de
Exc
eden
cia
del E
stad
o de
Dañ
o
Pro
babi
lidad
[Ds
> d
s | P
GA
]
●●
●
●
●
● ● ● ● ● ● ● ●
Probabilidad >= Leve/Menor: PGA=0.23, β=0.4 − (inv_id=227, pav_id=237)Probabilidad >= Moderado: PGA=0.35, β=0.4 − (inv_id=228, pav_id=238)Probabilidad >= Extensivo: PGA=0.48, β=0.5 − (inv_id=229, pav_id=239)Probabilidad >= Completo: PGA=0.80, β=0.55 − (inv_id=230, pav_id=240)
●
Daño Plantas de Tratamiento
Probabilidad >= Leve/MenorProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
65
0.0 0.5 1.0 1.5 2.0
0.0
0.2
0.4
0.6
0.8
1.0
0.25
0.75
1.25
1.75
0.1
0.3
0.5
0.7
0.9
Daño Plantas de TratamientoWWT2 − Componentes No Anclados. Alcantarillado. Plantas Pequeñas
Tipo de Gráfica: LOGNORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 8−39 Tabla 8.13)Curva de Vulnerabilidad Plantas de Tratamiento de Alcantarillado. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
PGA − Aceleración Pico del Terreno (g's) [1g=9.81M
Seg2 = 981
Cm
Seg2 = 981 Gales]
Pro
babi
lidad
de
Exc
eden
cia
del E
stad
o de
Dañ
o
Pro
babi
lidad
[Ds
> d
s | P
GA
]
●
●
●
●
● ● ● ● ● ● ● ● ●
Probabilidad >= Leve/Menor: PGA=0.16, β=0.4 − (inv_id=231, pav_id=241)Probabilidad >= Moderado: PGA=0.26, β=0.4 − (inv_id=232, pav_id=242)Probabilidad >= Extensivo: PGA=0.48, β=0.5 − (inv_id=233, pav_id=243)Probabilidad >= Completo: PGA=0.80, β=0.55 − (inv_id=234, pav_id=244)
●
Daño Plantas de Tratamiento
Probabilidad >= Leve/MenorProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
66
0.0 0.5 1.0 1.5 2.0 2.5 3.0
0.0
0.2
0.4
0.6
0.8
1.0
0.25
0.75
1.25
1.75
2.25
2.75
0.1
0.3
0.5
0.7
0.9
Daño Plantas de TratamientoWWT3 − Componentes Anclados. Alcantarillado. Plantas Medianas
Tipo de Gráfica: LOGNORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 8−39 Tabla 8.14)Curva de Vulnerabilidad Plantas de Tratamiento de Alcantarillado. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
PGA − Aceleración Pico del Terreno (g's) [1g=9.81M
Seg2 = 981
Cm
Seg2 = 981 Gales]
Pro
babi
lidad
de
Exc
eden
cia
del E
stad
o de
Dañ
o
Pro
babi
lidad
[Ds
> d
s | P
GA
]
● ●
●
●
●
●
●● ● ● ● ● ● ● ● ● ● ● ●
Probabilidad >= Leve/Menor: PGA=0.33, β=0.4 − (inv_id=235, pav_id=245)Probabilidad >= Moderado: PGA=0.49, β=0.4 − (inv_id=236, pav_id=246)Probabilidad >= Extensivo: PGA=0.70, β=0.45 − (inv_id=237, pav_id=247)Probabilidad >= Completo: PGA=1.23, β=0.55 − (inv_id=238, pav_id=248)
●
Daño Plantas de Tratamiento
Probabilidad >= Leve/MenorProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
67
0.0 0.5 1.0 1.5 2.0 2.5 3.0
0.0
0.2
0.4
0.6
0.8
1.0
0.25
0.75
1.25
1.75
2.25
2.75
0.1
0.3
0.5
0.7
0.9
Daño Plantas de TratamientoWWT4 − Componentes No Anclados. Alcantarillado. Plantas Medianas
Tipo de Gráfica: LOGNORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 8−39 Tabla 8.14)Curva de Vulnerabilidad Plantas de Tratamiento de Alcantarillado. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
PGA − Aceleración Pico del Terreno (g's) [1g=9.81M
Seg2 = 981
Cm
Seg2 = 981 Gales]
Pro
babi
lidad
de
Exc
eden
cia
del E
stad
o de
Dañ
o
Pro
babi
lidad
[Ds
> d
s | P
GA
]
●●
●
●
●● ● ● ● ● ● ● ● ● ● ● ● ● ●
Probabilidad >= Leve/Menor: PGA=0.2, β=0.4 − (inv_id=239, pav_id=249)Probabilidad >= Moderado: PGA=0.33, β=0.4 − (inv_id=240, pav_id=250)Probabilidad >= Extensivo: PGA=0.7, β=0.45 − (inv_id=241, pav_id=251)Probabilidad >= Completo: PGA=1.23, β=0.55 − (inv_id=242, pav_id=252)
●
Daño Plantas de Tratamiento
Probabilidad >= Leve/MenorProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
68
0.0 0.5 1.0 1.5 2.0 2.5 3.0
0.0
0.2
0.4
0.6
0.8
1.0
0.25
0.75
1.25
1.75
2.25
2.75
0.1
0.3
0.5
0.7
0.9
Daño Plantas de TratamientoWWT5 − Componentes Anclados. Alcantarillado. Plantas Grandes
Tipo de Gráfica: LOGNORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 8−40 Tabla 8.15)Curva de Vulnerabilidad Plantas de Tratamiento de Alcantarillado. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
PGA − Aceleración Pico del Terreno (g's) [1g=9.81M
Seg2 = 981
Cm
Seg2 = 981 Gales]
Pro
babi
lidad
de
Exc
eden
cia
del E
stad
o de
Dañ
o
Pro
babi
lidad
[Ds
> d
s | P
GA
]
● ●
●
●
●
●
●
●● ● ● ● ● ● ● ● ● ● ●
Probabilidad >= Leve/Menor: PGA=0.4, β=0.4 − (inv_id=243, pav_id=253)Probabilidad >= Moderado: PGA=0.56, β=0.4 − (inv_id=244, pav_id=254)Probabilidad >= Extensivo: PGA=0.84, β=0.4 − (inv_id=245, pav_id=255)Probabilidad >= Completo: PGA=1.5, β=0.4 − (inv_id=246, pav_id=256)
●
Daño Plantas de Tratamiento
Probabilidad >= Leve/MenorProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
69
0.0 0.5 1.0 1.5 2.0 2.5 3.0
0.0
0.2
0.4
0.6
0.8
1.0
0.25
0.75
1.25
1.75
2.25
2.75
0.1
0.3
0.5
0.7
0.9
Daño Plantas de TratamientoWWT6 − Componentes No Anclados. Alcantarillado. Plantas Grandes
Tipo de Gráfica: LOGNORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 8−40 Tabla 8.15)Curva de Vulnerabilidad Plantas de Tratamiento de Alcantarillado. Propagación de la Onda
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
PGA − Aceleración Pico del Terreno (g's) [1g=9.81M
Seg2 = 981
Cm
Seg2 = 981 Gales]
Pro
babi
lidad
de
Exc
eden
cia
del E
stad
o de
Dañ
o
Pro
babi
lidad
[Ds
> d
s | P
GA
]
●●
●
●
●
● ● ● ● ● ● ● ● ● ● ● ● ● ●
Probabilidad >= Leve/Menor: PGA=0.22, β=0.4 − (inv_id=247, pav_id=257)Probabilidad >= Moderado: PGA=0.35, β=0.4 − (inv_id=248, pav_id=258)Probabilidad >= Extensivo: PGA=0.84, β=0.4 − (inv_id=249, pav_id=259)Probabilidad >= Completo: PGA=1.5, β=0.4 − (inv_id=250, pav_id=260)
●
Daño Plantas de Tratamiento
Probabilidad >= Leve/MenorProbabilidad >= ModeradoProbabilidad >= ExtensivoProbabilidad >= Completo
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
P[ds|PGA] = Φ
1
βds
ln
PGA
PGAds
70
1e−01 5e−01 1e+00 5e+00 1e+01 5e+01 1e+02 5e+02 1e+03
020
4060
8010
0
0.2
0.3 2 3 20 30 200
300
10
30
50
70
90
Estaciones ElevadorasAlcantarillado.
Tipo de Gráfica: NORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 8−38 Tabla 8.12.a)Función de Restauración de Alcantarillado
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
Tiempo (Días)
Por
cent
aje
Fun
cion
al
%
● ●●
●
●
● ● ● ● ● ● ●
Leve/Menor: µ (Días)=1.3, σ (Días)=0.7 − (inv_id=251, pav_id=261)Moderado: µ (Días)=3, σ (Días)=1.5 − (inv_id=252, pav_id=262)Extensivo: µ (Días)=21, σ (Días)=12 − (inv_id=253, pav_id=263)Completo: µ (Días)=65, σ (Días)=25 − (inv_id=254, pav_id=264)
●
Estaciones Elevadoras
Leve/MenorModeradoExtensivoCompleto
% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds
71
1e−02 5e−02 5e−01 5e+00 5e+01 5e+02
020
4060
8010
0
0.01
0.02
0.03 0.
10.
1
0.2
0.3 11 2 3 1010 20 30 100
100
200
300
1000
10
30
50
70
90
Plantas de TratamientoAlcantarillado.
Tipo de Gráfica: NORMAL
HAZUS MR4 Manual Técnico 2003 (Pag 8−38 Tabla 8.12.a)Función de Restauración de Alcantarillado
Tesis Maestría Geomática. Alexys H Rodríguez. [email protected]. Gráfico generado en R.
Tiempo (Días)
Por
cent
aje
Fun
cion
al
%
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●
●
● ● ● ● ● ● ●
Leve/Menor: µ (Días)=1.5, σ (Días)=1 − (inv_id=255, pav_id=265)Moderado: µ (Días)=3.6, σ (Días)=2.5 − (inv_id=256, pav_id=266)Extensivo: µ (Días)=55, σ (Días)=25 − (inv_id=257, pav_id=267)Completo: µ (Días)=160, σ (Días)=60 − (inv_id=258, pav_id=268)
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Plantas de Tratamiento
Leve/MenorModeradoExtensivoCompleto
% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds% Funcional [ds|Tiempo] = Nµds,σds
72