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OFICINA GENERAL DE ESTADISTICA E INFORMATIVA
ESTACION : CHONTALI / 000250 /DRE - 02 LAT.: 5°38' 37'' "S" DPTO: CAJAMARCAPARAMETRO : PRECIPITACION MAXIMA EN 24 HORAS (mm) LONG. 79°5'5'' "W" PROV: JAEN
ALT: 1627 msnm DIST. CHONTALI
AÑO ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC P ANUAL1993 16.8 22.6 28.4 22.4 14.6 16.4 8.4 4.2 8.8 36.8 20.2 38.2 237.81994 48.4 17.4 32.2 26.8 19 26.6 12 6.4 22.7 19 13 24.2 267.71995 28.8 8.8 22.6 12.8 16.2 10.2 16 10.1 8 8.8 46.8 44.2 233.31996 38.4 27 38.8 28.6 26.2 5.3 6.2 10 22.4 40.8 32 9.6 285.31997 47 20.2 12.3 50.4 15.8 9.4 10.4 6.6 20 22.8 29.8 35 279.71998 24.5 32.8 25.6 51.3 35.1 22.4 5.8 4 11 36.2 34.7 19.8 303.21999 23.8 43 24.4 25.5 21 29 9.3 8.3 16.2 51.6 27.2 42.3 321.62000 11.6 34.3 92.5 30.6 31.2 24.6 12.8 6 27 8.5 6.7 24.2 3102001 70.5 13.3 21.7 31.9 13.3 4.7 11 6.6 30 13.4 43.3 20.5 280.22002 27.2 18.2 17.4 24.7 21.5 6 20.3 1.7 15.3 28.8 29 19.9 2302003 30.9 24.6 22.6 32 23.9 30.5 10.8 3.1 9.2 48 28.7 22.2 286.52004 46.6 7.8 33.1 52.2 17.8 12.3 7.8 5.6 15.5 50.3 20.3 24.8 294.12005 34.4 47.3 41.9 66.3 25.8 15 4.3 5.8 29.1 23.8 32.6 33.3 359.62006 25.8 24.6 44.2 42 15.7 34.1 5.3 3.2 3.5 28 45.6 21.9 293.92007 17.2 10.7 34.8 28.7 20.7 22.7 13.3 10.8 4.6 37.9 51.6 20.8 273.82008 20.8 66.2 25.1 31.4 11.4 12.2 11.9 6.9 15 36.9 69.5 11.5 318.82009 49.5 20.2 48.2 42 27.4 17.3 15.2 10.2 12.4 22.3 20.2 25.8 310.72010 12.4 77.9 56.7 19.4 17.6 15.5 4.5 7.8 13.5 14.9 18 30.2 288.42011 42.5 39.4 44.1 38.2 21.5 8.6 14.9 3.5 44.4 23.7 30.7 44.5 3562012 42.1 46.6 38.8 83.7 48 12.3 13.6 6.4 3.7 46.4 46.9 24.3 412.82013 17.9 33.4 33.4 10.5 27.5 33.2 36.9 18.9 15.8 29.5 3.5 19.5 280
SUMA 677.1 636.3 738.8 751.4 471.2 368.3 250.7 146.1 348.1 628.4 650.3 556.7 6223.4PROM. 32.24 30.30 35.18 35.78 22.44 17.54 11.94 6.96 16.58 29.92 30.97 26.51 296.35
OFICINA GENERAL DE ESTADISTICA E INFORMATIVA
ESTACION : JAEN / CP - 252/DRE - 02 LAT.: 5°40'39" "S" DPTO: CAJAMARCA
PARAMETRO : PRECIPITACION MAXIMA EN 24 HORAS (mm) LONG. 78°46'46" "W" PROV: JAEN
ALT: 654 msnm DIST. JAEN
INFORMACIÓN PLUVIOMETRICA
AÑO ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC P ANUAL
1993 7.87 62.56 45.19 11.78 18.82 7.73 4.67 36.10 72.94 24.81 38.85 30.44 361.76 3.00
1994 14.70 58.46 35.44 57.94 13.87 12.24 6.56 4.75 48.20 7.54 17.39 14.06 291.15 4.00
1995 4.94 25.51 23.81 22.74 10.18 4.60 10.26 56.98 7.81 9.52 41.22 36.00 253.57 5.00
1996 7.90 25.70 18.00 11.20 16.50 14.70 0.50 6.70 13.70 19.80 18.40 38.00 191.10 6.00
1997 11.00 16.70 14.40 30.00 9.66 4.24 7.41 11.97 13.34 23.74 31.61 33.94 208.01 7.00
1998 26.59 76.25 41.16 37.27 31.44 18.50 3.10 21.82 23.25 29.68 35.65 15.39 360.10 8.00
1999 24.97 73.60 17.34 16.95 20.36 17.86 5.91 6.16 27.57 24.92 23.13 44.23 303.00 9.00
2000 7.10 70.45 49.15 39.80 67.99 18.06 8.18 75.14 40.81 3.61 10.89 18.02 409.20 10.00
2001 33.88 32.71 26.26 22.64 14.83 3.29 7.08 77.94 61.48 10.96 75.31 17.95 384.33 11.00
2002 7.26 31.63 38.37 18.24 27.04 4.05 12.70 1.26 8.14 25.28 34.01 29.71 237.69 12.00
2003 6.93 54.34 15.18 15.46 17.14 28.03 8.93 2.30 11.12 15.67 37.01 17.92 230.03 13.00
2004 7.50 6.80 17.70 30.60 38.10 18.00 2.40 7.20 17.00 19.40 18.20 12.00 194.90 14.00
2005 6.50 42.00 36.20 31.00 10.20 18.30 1.90 14.50 18.70 27.90 78.50 31.50 317.20 15.00
2006 18.50 38.70 23.00 9.40 13.50 26.50 1.30 8.50 5.60 11.70 15.50 16.00 188.20 16.00
2007 7.60 27.00 32.50 29.00 29.30 13.00 27.20 7.50 7.20 45.90 38.90 22.60 287.70 17.00
2008 17.00 37.20 63.70 10.20 15.80 26.90 17.40 3.40 9.93 24.57 77.48 9.96 313.54 18.00
2009 21.47 54.12 29.48 13.67 22.19 8.30 8.30 14.64 14.52 20.23 59.48 23.59 289.99 19.00
2010 16.60 32.80 5.50 41.50 12.50 13.30 4.00 22.90 10.70 24.00 12.10 30.00 225.90 20.00
2011 25.50 39.50 48.90 39.80 70.60 4.50 21.80 5.80 2.50 30.80 23.50 38.70 351.90 21.00
2012 23.80 32.60 22.50 27.50 7.80 17.00 6.40 6.80 5.20 26.00 23.20 12.20 211.00 22.00
2013 9.40 47.00 10.30 18.80 12.90 9.00 6.40 7.40 14.00 56.90 0.70 18.60 211.40 23.00
SUMA 307.01 885.63 614.08 535.49 480.72 288.10 172.40 399.76 433.71 482.93 711.03 510.81 5821.67
PROM. 14.62 42.17 29.24 25.50 22.89 13.72 8.21 19.04 20.65 23.00 33.86 24.32 277.22
OFICINA GENERAL DE ESTADISTICA E INFORMATIVA
ESTACION : LA CASCARILLA "CO" LAT.: 5°40'18.3'' "S" DPTO: CAJAMARCA
PARAMETRO : PRECIPITACION MAXIMA EN 24 HORAS (mm) LONG. 78°53'51.6'' "W" PROV: JAEN
ALT: 2005 msnm DIST. JAEN
INFORMACIÓN PLUVIOMETRICA
AÑO ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC P ANUAL
1993 43 32.4 36.4 45.3 26.2 66 52 80 13.6 71.3 39.1 60.4 565.70
1994 22.8 29.4 26.5 39.4 49.5 13.6 8.6 13.5 32.3 21.8 70 56.9 384.30
1995 26.8 21.4 32.2 13.9 77.4 23.6 S/D 4.6 6.3 50 38.5 43.3 338.00
1996 31.2 37 33.4 57.2 26.9 30.7 3.8 24.2 29.4 41.2 15.4 17.1 347.50
1997 18.5 32.4 29.4 47.8 40.6 53.8 29.6 11.1 16.5 61.1 29.5 27.2 397.50
1998 49.9 41.1 32.4 65.3 82.6 29.8 10 8.9 23 43.1 42.2 35.9 464.20
1999 44.3 66.8 44.4 30.8 36.2 46 34.3 12.4 41 66.4 53 54.4 530.00
2000 42 59.8 65.8 41.8 45 40.7 17.3 15.4 83.2 13.2 20.7 19 463.90
2001 39.2 26.8 25.2 44.9 32.3 8.2 13 11 67.6 30.8 110.5 36 445.50
2002 24.3 43.2 23.2 36.6 67 13.8 33.7 30.9 23.8 52.6 25.8 23.9 398.80
2003 24.8 31.2 51.5 36.6 29.5 30.4 19 15.7 14.1 55.2 41.8 33 382.80
2004 72.7 25.3 27.7 29.1 49.7 24.5 12.4 12.2 28.6 30.3 45.3 45.6 403.40
2005 19.5 32.5 47.6 51.6 25.8 16.6 10.7 18.3 30.8 54 73.9 35.4 416.70
2006 45 47.2 39 33.3 24.5 98.6 3.3 8.3 9.7 41.1 67.6 50.4 468.00
2007 17.7 21.9 31.9 48.5 49.3 15.8 28.1 26 26.5 80.5 53.7 45.9 445.80
2008 36.9 67.9 41.8 20.2 42.6 34 28.4 17.3 8.2 52.5 38.3 5.2 393.30
2009 56.1 26.7 73.6 43.6 46.8 19.4 23.8 33 23.3 87.9 27.2 42.9 504.30
2010 23.8 50.2 17.7 66.7 17.7 14 3.8 11.4 14.2 38.3 15.6 36 309.40
2011 78.6 34.6 31.7 83 27.7 16.8 15.6 10.4 41.5 32 56 53.6 481.50
2012 70.3 49 67.3 61 17.7 25.1 27.4 12.6 8.2 27.7 40.5 47.7 454.50
2013 18.3 44.5 31.1 14.6 52.2 30 23.3 29 18.1 80.5 11 38.6 391.20
SUMA 805.70 821.30 809.80 911.20 867.20 651.40 398.10 406.20 559.90 1031.50 915.60 808.40 8986.30
PROM. 38.37 39.11 38.56 43.39 41.30 31.02 19.91 19.34 26.66 49.12 43.60 38.50 427.92
COMPLETAR DATOS FALTANTES
1.- ESTACION LA CASCARILLA 1.1 Año 1995
ESTACION LA CASCARILLA: MES DE JULIO
A B C
PRECIPITACIONES X 10.26 16PROMEDIO 19.91 8.21 11.94
CALCULO DE P(x) 25.78
nbna
nxX P
b
P
a
n
PP )(
OFICINA GENERAL DE ESTADISTICA E INFORMATIVA
ESTACION : LA CASCARILLA "CO" LAT.: 5°40'40'' "S" DPTO: CAJAMARCA
PARAMETRO : PRECIPITACION MAXIMA EN 24 HORAS (mm) LONG. 78°53'52'' "W" PROV: JAEN
ALT: 1908 msnm DIST. JAEN
INFORMACIÓN PLUVIOMETRICA
AÑO ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC P ANUAL
1993 43 32.4 36.4 45.3 26.2 66 52 80 13.6 71.3 39.1 60.4 565.70
1994 22.8 29.4 26.5 39.4 49.5 13.6 8.6 13.5 32.3 21.8 70 56.9 384.30
1995 26.8 21.4 32.2 13.9 77.4 23.6 25.78 4.6 6.3 50 38.5 43.3 363.78
1996 31.2 37 33.4 57.2 26.9 30.7 3.8 24.2 29.4 41.2 15.4 17.1 347.50
1997 18.5 32.4 29.4 47.8 40.6 53.8 29.6 11.1 16.5 61.1 29.5 27.2 397.50
1998 49.9 41.1 32.4 65.3 82.6 29.8 10 8.9 23 43.1 42.2 35.9 464.20
1999 44.3 66.8 44.4 30.8 36.2 46 34.3 12.4 41 66.4 53 54.4 530.00
2000 42 59.8 65.8 41.8 45 40.7 17.3 15.4 83.2 13.2 20.7 19 463.90
2001 39.2 26.8 25.2 44.9 32.3 8.2 13 11 67.6 30.8 110.5 36 445.50
2002 24.3 43.2 23.2 36.6 67 13.8 33.7 30.9 23.8 52.6 25.8 23.9 398.80
2003 24.8 31.2 51.5 36.6 29.5 30.4 19 15.7 14.1 55.2 41.8 33 382.80
2004 72.7 25.3 27.7 29.1 49.7 24.5 12.4 12.2 28.6 30.3 45.3 45.6 403.40
2005 19.5 32.5 47.6 51.6 25.8 16.6 10.7 18.3 30.8 54 73.9 35.4 416.70
2006 45 47.2 39 33.3 24.5 98.6 3.3 8.3 9.7 41.1 67.6 50.4 468.00
2007 17.7 21.9 31.9 48.5 49.3 15.8 28.1 26 26.5 80.5 53.7 45.9 445.80
2008 36.9 67.9 41.8 20.2 42.6 34 28.4 17.3 8.2 52.5 38.3 5.2 393.30
2009 56.1 26.7 73.6 43.6 46.8 19.4 23.8 33 23.3 87.9 27.2 42.9 504.30
2010 23.8 50.2 17.7 66.7 17.7 14 3.8 11.4 14.2 38.3 15.6 36 309.40
2011 78.6 34.6 31.7 83 27.7 16.8 15.6 10.4 41.5 32 56 53.6 481.50
2012 70.3 49 67.3 61 17.7 25.1 27.4 12.6 8.2 27.7 40.5 47.7 454.50
2013 18.3 44.5 31.1 14.6 52.2 30 23.3 29 18.1 80.5 11 38.6 391.20
SUMA 805.70 821.30 809.80 911.20 867.20 651.40 423.88 406.20 559.90 1031.50 915.60 808.40 9012.08
PROM. 38.37 39.11 38.56 43.39 41.30 31.02 20.18 19.34 26.66 49.12 43.60 38.50 429.15
CURVA HIPSOMETRICA
N°ALTITUD (msnm) Area Parcial Area Area sobre la % Area % Area Alt. Media*
mas alta media a (km2) Acum. (km2) altitud (km2) acumulada Area parc.
< 3000 0 0 150.242876 0% 0
1 3000 2800 2900 1.121752819 1.121752819 149.1211232 0.75 0.75 3253.08
2 2800 2600 2700 2.793539202 3.91529202 146.327584 1.86 2.61 7542.56
3 2600 2400 2500 7.424066542 11.33935856 138.9035174 4.94 7.55 18560.17
4 2400 2200 2300 17.24871592 28.58807448 121.6548015 11.48 19.03 39672.05
5 2200 2000 2100 26.65907265 55.24714714 94.99572883 17.74 36.77 55984.05
6 2000 1800 1900 29.86330899 85.11045612 65.13241985 19.88 56.65 56740.29
7 1800 1600 1700 19.32225723 104.4327134 45.81016262 12.86 69.51 32847.84
8 1600 1400 1500 16.3196957 120.7524091 29.49046692 10.86 80.37 24479.54
9 1400 1200 1300 14.1158589 134.8682679 15.37460802 9.40 89.77 18350.62
10 1200 1000 1100 9.631788538 144.5000565 5.742819483 6.41 96.18 10594.97
11 1000 800 900 5.742819483 150.242876 0 3.82 100.00 5168.54
∑= 150.242876 100.00 273193.69
DATOS CALCULADOS
A= 150.243 km2 Area de la cuenca
HM= 1818.35 msnm elevacion media
Mas baja
0.00 20.00 40.00 60.00 80.00 100.00 120.000
500
1000
1500
2000
2500
3000
3500
% Area Acumulada
Altit
ud m
edia
(msn
m)
ESTACION PMEDIA ANUAL ALTITUD
ESTACION : JAEN / CP - 252/DRE - 02 277.22 654
ESTACION : CHONTALI / 000250 /DRE - 02 296.35 1627
ESTACION : LA CASCARILLA "CO" 429.15 1908
y = 0.0004x2 - 0.7962x + 644.97
ESTACION ALTITUD (m.S.N. P(anual)
LA CASCARILLA 1908 582.006
CUENCA AMOJU 1818.35 519.756
Calculo del factor altitud
0.893
CORRELACIÓN PRECIPITACIÓN / ALTITUD - ESTACIONES DE LA CUENCA DE LA QUEBRADA AMOJÚ
f1= Pa (Cuenca Amoju) =
Pa (Jaén)
400 600 800 1000 1200 1400 1600 1800 20000.00
50.00
100.00
150.00
200.00
250.00
300.00
350.00
400.00
450.00
500.00
f(x) = 0.000361177192694616 x² − 0.804184333782051 x + 648.677671095272R² = 1
ESTACION PLUVIOMETRICAPolynomial (ESTACION PLU-VIOMETRICA)
ALTITUD
PREC
IPIT
ACIO
N M
EDIA
ANALISIS DE REGRESIÓN POLINOMIAL DE 2°
OFICINA GENERAL DE ESTADISTICA E INFORMATIVA
ESTACION ARIAL: CUENCA AMOJUPARAMETRO : PRECIPITACION MAXIMA EN 24 HORAS (mm)UBICACIÓN: CAJAMARCA - JAÉN - JAÉN ALT MEDIA: 1818.347 msnm
AÑO ENE FEB MAR ABR MAY JUN JUL AGO SET OCT NOV DIC P ANUAL Promedio Pmax1993 38.40 28.93 32.51 40.45 23.40 58.94 46.44 71.44 12.15 63.67 34.92 53.94 505.19 42.10 71.441994 20.36 26.26 23.67 35.19 44.21 12.15 7.68 12.06 28.85 19.47 62.51 50.81 343.20 28.60 62.511995 23.93 19.11 28.76 12.41 69.12 21.08 23.02 4.11 5.63 44.65 34.38 38.67 324.87 27.07 69.121996 27.86 33.04 29.83 51.08 24.02 27.42 3.39 21.61 26.26 36.79 13.75 15.27 310.33 25.86 51.081997 16.52 28.93 26.26 42.69 36.26 48.05 26.43 9.91 14.74 54.56 26.34 24.29 354.98 29.58 54.561998 44.56 36.70 28.93 58.32 73.77 26.61 8.93 7.95 20.54 38.49 37.69 32.06 414.55 34.55 73.771999 39.56 59.66 39.65 27.51 32.33 41.08 30.63 11.07 36.61 59.30 47.33 48.58 473.31 39.44 59.662000 37.51 53.40 58.76 37.33 40.19 36.35 15.45 13.75 74.30 11.79 18.49 16.97 414.28 34.52 74.302001 35.01 23.93 22.50 40.10 28.85 7.32 11.61 9.82 60.37 27.51 98.68 32.15 397.85 33.15 98.682002 21.70 38.58 20.72 32.69 59.83 12.32 30.10 27.60 21.25 46.97 23.04 21.34 356.15 29.68 59.832003 22.15 27.86 45.99 32.69 26.34 27.15 16.97 14.02 12.59 49.30 37.33 29.47 341.86 28.49 49.302004 64.92 22.59 24.74 25.99 44.38 21.88 11.07 10.90 25.54 27.06 40.45 40.72 360.25 30.02 64.922005 17.41 29.02 42.51 46.08 23.04 14.82 9.56 16.34 27.51 48.22 66.00 31.61 372.13 31.01 66.002006 40.19 42.15 34.83 29.74 21.88 88.05 2.95 7.41 8.66 36.70 60.37 45.01 417.94 34.83 88.052007 15.81 19.56 28.49 43.31 44.03 14.11 25.09 23.22 23.67 71.89 47.96 40.99 398.12 33.18 71.892008 32.95 60.64 37.33 18.04 38.04 30.36 25.36 15.45 7.32 46.88 34.20 4.64 351.23 29.27 60.642009 50.10 23.84 65.73 38.94 41.79 17.33 21.25 29.47 20.81 78.50 24.29 38.31 450.36 37.53 78.502010 21.25 44.83 15.81 59.57 15.81 12.50 3.39 10.18 12.68 34.20 13.93 32.15 276.31 23.03 59.572011 70.19 30.90 28.31 74.12 24.74 15.00 13.93 9.29 37.06 28.58 50.01 47.87 430.00 35.83 74.122012 62.78 43.76 60.10 54.48 15.81 22.42 24.47 11.25 7.32 24.74 36.17 42.60 405.89 33.82 62.782013 16.34 39.74 27.77 13.04 46.62 26.79 20.81 25.90 16.16 71.89 9.82 34.47 349.36 29.11 71.89
SUMA 719.52 733.46 723.19 813.74 774.45 581.73 378.54 362.75 500.01 921.17 817.67 721.94 8048.17 670.68 1422.62PROMEDI 34.26 34.93 34.44 38.75 36.88 27.70 18.03 17.27 23.81 43.87 38.94 34.38 383.25 31.94 67.74
max 70.19 60.64 65.73 74.12 73.77 88.05 46.44 71.44 74.30 78.50 98.68 53.94 505.19 42.10 98.68
min 15.81 19.11 15.81 12.41 15.81 7.32 2.95 4.11 5.63 11.79 9.82 4.64 276.31 23.03 49.30
AÑO PMAX 24H1993 71.441994 62.511995 69.121996 51.081997 54.561998 73.771999 59.662000 74.302001 98.682002 59.832003 49.302004 64.922005 66.002006 88.052007 71.892008 60.642009 78.502010 59.572011 74.122012 62.782013 71.89
PRECIPITACIONES MÁXIMAS DE CADA AÑO DE LAS PRECIPITACIONES MAXIMAS EN 24 HORAS (mm)
PRECIPITACIONES MAXIMAS
19931994
19951996
19971998
19992000
20012002
20032004
20052006
20072008
20092010
20112012
20130
20
40
60
80
100
120
ESTACION ARIAL AMOJÚ
TIEMPO (años)
PREC
IPIT
ACIO
NES
MAX
IMAS
24 H
ORA
S
ANALISIS CON DISTRIBUCION NORMAL AÑO PRECIPITACION P ORDENADOS F(x) f(x)1993 71.44 98.68 0.996 0.0011994 62.51 88.05 0.958 0.0081995 69.12 78.50 0.820 0.0221996 51.08 74.30 0.712 0.0291997 54.56 74.12 0.707 0.0291998 73.77 73.77 0.696 0.0301999 59.66 71.89 0.638 0.0322000 74.30 71.89 0.638 0.0322001 98.68 71.44 0.624 0.0322002 59.83 69.12 0.547 0.0342003 49.30 66.00 0.441 0.0342004 64.92 64.92 0.405 0.0332005 66.00 62.78 0.336 0.0312006 88.05 62.51 0.328 0.0312007 71.89 60.64 0.272 0.0282008 60.64 59.83 0.250 0.0272009 78.50 59.66 0.245 0.0272010 59.57 59.57 0.243 0.0272011 74.12 54.56 0.131 0.0182012 62.78 51.08 0.078 0.0122013 71.89 49.30 0.058 0.010
MEDIA 67.74DESV.EST. 11.74N 21
Media 67.74 67.74 0.4820 0.025091Des.Est 11.74 11.74 0.279025 0.009573Coef.As 0.85 0.85 0.215541 -1.364895
Tr Pexc. Pno-exc valor Z y=x+z*desv.est2 0.500 0.500 0.00 67.745 0.200 0.800 0.84 77.62
10 0.100 0.900 1.28 82.7920 0.050 0.950 1.64 87.0530 0.033 0.967 1.83 89.2750 0.020 0.980 2.05 91.85
100 0.010 0.990 2.33 95.05200 0.005 0.995 2.58 97.98
0 20 40 60 80 100 120 -
0.00500
0.01000
0.01500
0.02000
0.02500
0.03000
0.03500
0.04000 HISTOGRAMA
ANALISIS CON DISTRIBUCION LOG - NORMAL DE 2 PARAMETROSAÑO P P ORDENADOS y = ln (x) F(x) f(x)1993 71.44 98.68 4.592 0.990 0.1611994 62.51 88.05 4.478 0.950 0.6171995 69.12 78.50 4.363 0.831 1.5001996 51.08 74.30 4.308 0.736 1.9451997 54.56 74.12 4.306 0.731 1.9631998 73.77 73.77 4.301 0.722 1.9971999 59.66 71.89 4.275 0.668 2.1602000 74.30 71.89 4.275 0.668 2.160
2001 98.68 71.44 4.269 0.655 2.193
2002 59.83 69.12 4.236 0.580 2.326
2003 49.30 66.00 4.190 0.470 2.367
2004 64.92 64.92 4.173 0.432 2.339
2005 66.00 62.78 4.140 0.355 2.216
2006 88.05 62.51 4.135 0.346 2.194
2007 71.89 60.64 4.105 0.282 2.009
2008 60.64 59.83 4.092 0.255 1.912
2009 78.50 59.66 4.089 0.250 1.890
2010 59.57 59.57 4.087 0.247 1.878
2011 74.12 54.56 3.999 0.114 1.147
2012 62.78 51.08 3.933 0.055 0.662
2013 71.89 49.30 3.898 0.035 0.461
media 67.74 4.20
desv.stand 11.74 0.17
coef.asim 0.85 0.32
Pexc. Tr x=
0.500 2 66.82
0.200 5 76.98
0.100 10 82.88
0.050 20 88.10
0.033 30 90.95
0.020 50 94.37
0.010 100 98.79
0.005 200 103.03
MEDIA 67.74 MEDIA 4.202
DESV.EST. 11.74 DESV.EST. 0.168
N 21 C.ASIMETRIA 0.316
0 20 40 60 80 100 120 -
0.50
1.00
1.50
2.00
2.50 HISTOGRAMA DE LOS X
x (Precipitaciones)
0 1 2 3 4 5 -
0.50
1.00
1.50
2.00
2.50 HISTOGRAMA DE LOS Y
y = ln x
y
Y
Y uZ
ANALISIS CON DISTRIBUCION LOG - NORMAL DE 3 PARAMETROS
AÑO P P ORDENADOS y = ln (x-a) F(x) f(x)1993 71.44 98.68 4.290 0.984 0.1481994 62.51 88.05 4.133 0.941 0.4261995 69.12 78.50 3.966 0.831 0.9161996 51.08 74.30 3.884 0.745 1.1691997 54.56 74.12 3.880 0.741 1.1801998 73.77 73.77 3.873 0.732 1.2001999 59.66 71.89 3.833 0.682 1.2992000 74.30 71.89 3.833 0.682 1.2992001 98.68 71.44 3.823 0.669 1.3202002 59.83 69.12 3.771 0.598 1.4082003 49.30 66.00 3.696 0.490 1.4522004 64.92 64.92 3.669 0.451 1.4422005 66.00 62.78 3.613 0.372 1.3772006 88.05 62.51 3.606 0.362 1.3652007 71.89 60.64 3.554 0.293 1.2532008 60.64 59.83 3.530 0.265 1.1922009 78.50 59.66 3.525 0.259 1.1782010 59.57 59.57 3.522 0.256 1.1712011 74.12 54.56 3.363 0.108 0.6752012 62.78 51.08 3.234 0.044 0.3392013 71.89 49.30 3.161 0.024 0.208
MEDIA 3.7028 MEDIA X 67.74 DESV.EST. 0.2747 DESV.EST. 11.74 a 25.7000
C.ASIM 0.001
media 67.74 3.70
desv.stand 11.74 0.27
coef.asimet. 0.85 0.00
a 25.7000
Tr Pexc. 1-Pexc. z = f ( Pexc) y = ln (x - a) x2 0.500 0.500 0.00 3.70 66.265 0.200 0.800 0.84 3.93 76.8110 0.100 0.900 1.28 4.05 83.3720 0.050 0.950 1.64 4.15 89.4330 0.033 0.967 1.83 4.21 92.8250 0.020 0.980 2.05 4.27 97.00
100 0.010 0.990 2.33 4.34 102.55200 0.005 0.995 2.58 4.41 108.00
3.00 3.20 3.40 3.60 3.80 4.00 4.20 4.40 -
0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.60
LN3; C.A.=0.063
ANALISIS CON DISTRIBUCION GUMBELVar. Reducida
AÑO P P ORDENADOS y = (x - u)/a Tr
1993 71.44 98.68 3.34 28.851994 62.51 88.05 2.38 11.271995 69.12 78.50 1.51 5.021996 51.08 74.30 1.12 3.601997 54.56 74.12 1.11 3.551998 73.77 73.77 1.07 3.461999 59.66 71.89 0.90 3.002000 74.30 71.89 0.90 3.002001 98.68 71.44 0.86 2.902002 59.83 69.12 0.65 2.462003 49.30 66.00 0.37 2.002004 64.92 64.92 0.27 1.872005 66.00 62.78 0.07 1.652006 88.05 62.51 0.05 1.632007 71.89 60.64 (0.12) 1.482008 60.64 59.83 (0.20) 1.422009 78.50 59.66 (0.21) 1.412010 59.57 59.57 (0.22) 1.402011 74.12 54.56 (0.68) 1.162012 62.78 51.08 (0.99) 1.072013 71.89 49.30 (1.16) 1.04
MEDIA 67.74 0.5252 DES. ESTA 11.74 1.0696
N 21Yn= 0.5252Sn= 1.0696
a= 10.97 u= 61.98
P exc = F (x > X)
Tr Pexc.(1/Tr) Pno exc. ln(1-1/Tr) e(-y) y=-(LN(e(-y))) x=u+a*y2 0.500 0.500 -0.693 0.693 0.367 66.0025 0.200 0.800 -0.223 0.223 1.500 78.440
10 0.100 0.900 -0.105 0.105 2.250 86.67520 0.050 0.950 -0.051 0.051 2.970 94.57430 0.033 0.967 -0.034 0.034 3.384 99.11850 0.020 0.980 -0.020 0.020 3.902 104.798
100 0.010 0.990 -0.010 0.010 4.600 112.460200 0.005 0.995 -0.005 0.005 5.296 120.093
1.00 10.00 100.000
20
40
60
80
100
120
f(x) = 14.2899324541161 ln(x) + 54.5790225374814R² = 0.963484841024061
Tr (AÑOS)
Q (m
3/s)
)
TreXxF
ye 11)(
a
uxy
VALORES GUMBELMedia reducida Yn
n 0 1 2 3 4 5 6 7 8 910 0.4952 0.4996 0.5035 0.5070 0.5100 0.5128 0.5157 0.5181 0.5202 0.522020 0.5230 0.5252 0.5268 0.5283 0.5296 0.5309 0.5320 0.5332 0.5343 0.535330 0.5362 0.5371 0.5380 0.5388 0.5396 0.5402 0.5410 0.5418 0.5424 0.543040 0.5436 0.5442 0.5448 0.5453 0.5458 0.5463 0.5468 0.5473 0.5477 0.548150 0.5485 0.5489 0.5493 0.5497 0.5501 0.5504 0.5508 0.5511 0.5515 0.551860 0.5521 0.5524 0.5527 0.5530 0.5533 0.5535 0.5538 0.5540 0.5543 0.554570 0.5548 0.5550 0.5552 0.5555 0.5557 0.5559 0.5561 0.5563 0.5565 0.556780 0.5569 0.5570 0.5572 0.5574 0.5576 0.5578 0.5580 0.5581 0.5583 0.558590 0.5586 0.5587 0.5589 0.5591 0.5592 0.5593 0.5595 0.5596 0.5598 0.5599
100 0.5600
Desviación tipica reducida Sn
n 0 1 2 3 4 5 6 7 8 910 0.9496 0.9676 0.9833 0.9971 1.0095 1.0206 1.0316 1.0411 1.0493 1.056520 1.0628 1.0696 1.0754 1.0811 1.0864 1.0915 1.0961 1.1004 1.1047 1.108630 1.1124 1.1159 1.1193 1.2260 1.1255 1.1285 1.1313 1.1339 1.1363 1.388040 1.1413 1.1430 1.1458 1.1480 1.1499 1.1519 1.1538 1.1557 1.1574 1.159050 1.1607 1.1623 1.1638 1.1658 1.1667 1.1681 1.1696 1.1708 1.1721 1.173460 1.1747 1.1759 1.1770 1.1782 1.1793 1.1803 1.1814 1.1824 1.1834 1.184470 1.1854 1.1863 1.1873 1.1881 1.1890 1.1898 1.1906 1.1915 1.1923 1.193080 1.1938 1.1945 1.1953 1.1959 1.1967 1.1973 1.1980 1.1987 1.1994 1.200190 1.2007 1.2013 1.2020 1.2026 1.2032 1.2038 1.2044 1.2049 1.2055 1.2060
100 1.2065
Probabilidad de excedencia F(x) Diferencia Delta DDATOS Empírica Normal LN2 LN3 Gumbel Normal LN2 LN3 Gumbel
1 0.0455 0.0042 0.0102 0.0162 0.0347 0.0413 0.0353 0.0292 0.01082 0.0909 0.0418 0.0503 0.0587 0.0887 0.0491 0.0406 0.0322 0.00223 0.1364 0.1798 0.1690 0.1685 0.1990 0.0434 0.0327 0.0322 0.06274 0.1818 0.2882 0.2640 0.2551 0.2777 0.1064 0.0822 0.0733 0.09595 0.2273 0.2934 0.2687 0.2595 0.2816 0.0661 0.0414 0.0322 0.05436 0.2727 0.3040 0.2783 0.2683 0.2894 0.0312 0.0055 0.0045 0.01677 0.3182 0.3619 0.3319 0.3181 0.3332 0.0438 0.0137 0.0001 0.01518 0.3636 0.3619 0.3319 0.3181 0.3332 0.0017 0.0318 0.0456 0.03049 0.4091 0.3763 0.3454 0.3308 0.3444 0.0328 0.0637 0.0783 0.0647
10 0.4545 0.4533 0.4203 0.4020 0.4065 0.0013 0.0342 0.0525 0.048111 0.5000 0.5592 0.5296 0.5095 0.5002 0.0592 0.0296 0.0095 0.000212 0.5455 0.5949 0.5681 0.5485 0.5345 0.0495 0.0227 0.0031 0.010913 0.5909 0.6638 0.6448 0.6280 0.6053 0.0729 0.0539 0.0371 0.014414 0.6364 0.6721 0.6542 0.6379 0.6143 0.0357 0.0179 0.0016 0.022115 0.6818 0.7276 0.7184 0.7065 0.6770 0.0457 0.0366 0.0247 0.004816 0.7273 0.7498 0.7446 0.7350 0.7036 0.0225 0.0173 0.0077 0.023717 0.7727 0.7546 0.7502 0.7412 0.7095 0.0181 0.0225 0.0315 0.063318 0.8182 0.7570 0.7531 0.7443 0.7124 0.0612 0.0651 0.0739 0.105819 0.8636 0.8692 0.8861 0.8922 0.8599 0.0056 0.0224 0.0286 0.003720 0.9091 0.9221 0.9450 0.9560 0.9328 0.0130 0.0359 0.0470 0.023721 0.9545 0.9420 0.9649 0.9757 0.9583 0.0126 0.0103 0.0212 0.0037
0.10637 0.08218 0.07832 0.105801.00000 1.00000 1.00000 1.00000
.= 0.2968
Los datos de ajustan a la función Log Normal 3, siendo este dato 0,07832 menor a 0,2968
T R
25 76.81
10 83.3720 89.4330 92.8250 97.00
100 102.55200 108.00
ESTACIÓN ARIAL CUENCA AMOJÚ
PRECIP. MÁX LN3
1/21.36 / ( )N
TRPRECP. MAX.
DURACION EN MINUTOS5 15 30 45 60
2 0.000 0.000 0.000 0.000 0.000 0.0005 76.810 18.645 24.539 29.181 32.295 34.70310 83.375 20.239 26.636 31.675 35.055 37.66920 89.427 21.708 28.569 33.975 37.599 40.40330 92.824 22.533 29.655 35.265 39.028 41.93850 97.002 23.547 30.989 36.853 40.784 43.826
100 102.546 24.893 32.760 38.959 43.115 46.330200 107.997 26.216 34.502 41.030 45.407 48.793
Fuente: MANUAL DE HIDROLOGÍA, HIDRÁULICA Y DRENAJE
TRPRECP. MAX.
DURACION EN MINUTOS5 15 30 45 60
2 0.000 0.000 0.000 0.000 0.000 0.0005 76.810 111.872 49.077 29.181 21.530 17.35110 83.375 121.433 53.272 31.675 23.370 18.83420 89.427 130.248 57.139 33.975 25.066 20.20230 92.824 135.196 59.309 35.265 26.018 20.96950 97.002 141.281 61.979 36.853 27.190 21.913
100 102.546 149.355 65.521 38.959 28.743 23.165200 107.997 157.294 69.004 41.030 30.271 24.396
Fuente: MANUAL DE HIDROLOGÍA, HIDRÁULICA Y DRENAJE
0 10 20 30 40 50 600
10
20
30
40
50
60
70
80
90
100
110
120
130
140
150
160
170
Curva Intensidad-Duración-FrecuenciaEstación Amoju
TR 2TR 5TR 10TR 20TR 30TR 50TR 100TR 200
Duración en minutos
Inte
nsid
ad (
mm
/hor
a)
0 10 20 30 40 50 600
10
20
30
40
50
60
70
80
90
100
110
120
130
140
150
160
170
Curva Intensidad-Duración-FrecuenciaEstación Amoju
TR 2TR 5TR 10TR 20TR 30TR 50TR 100TR 200
Duración en minutos
Inte
nsid
ad (
mm
/hor
a)
Resumen
Estadísticas de la regresiónCoeficiente de correlación múltiple 0.994744145Coeficiente de determinación R^2 0.989515914R^2 ajustado 0.989049955Error típico 0.023019382Observaciones 48
ANÁLISIS DE VARIANZAGrados de libertadSuma de cuadradosPromedio de los cuadrados F Valor crítico de F
Regresión 2 2.250567418 1.125283709 2123.609808261 2.896930133E-45Residuos 45 0.023845137 0.000529892Total 47 2.274412555
Coeficientes Error típico Estadístico t Probabilidad Inferior 95% Superior 95% Inferior 95.0%Superior 95.0%Intercepción 2.066854195 0.014382692 143.7042625 1.456300825E-61 2.037885965742 2.095822424 2.037885966 2.095822424Variable X 1 0.191744593 0.005325553 36.00463689 8.085605066E-35 0.181018379308 0.202470807 0.181018379 0.202470807Variable X 2 -0.52693376 0.009700181 -54.3220557 1.125979311E-42 -0.54647093039 -0.5073966 -0.54647093 -0.5073966
Lluvias máximas (mm).- Estación Jaén Y X1 X2
T (años) P.Max 24 h.Duración en minutos log I LogT Logt
5 10 15 20 30 60 2.0944711286416 2.301029996 0.698970004
200 108.0 10.4 15.5 19.0 21.6 25.7 33.8 1.9684829485539 2.301029996 1100 102.5 9.4 14.1 17.3 19.7 23.4 30.8 1.8796692056321 2.301029996 1.17609125950 97.0 8.5 12.7 15.6 17.8 21.1 27.8 1.8122446968004 2.301029996 1.30102999630 92.8 7.8 11.7 14.3 16.4 19.5 25.5 1.7118072290412 2.301029996 1.47712125520 89.4 7.3 10.9 13.3 15.2 18.1 23.8 1.5289167002777 2.301029996 1.7781512510 83.4 6.4 9.5 11.7 13.3 15.8 20.6 2.0538464268523 2.00000 0.6989700045 76.8 5.4 8.1 10.0 11.4 13.5 17.8 1.9283958522567 2.00000 1
2 66.3 4.2 6.3 7.7 8.8 10.5 13.8 1.8394780473742 2.00000 1.176091259Fuente: Elaboración del autor aplicando el Modelo de Bell 1.7715874808813 2.00000 1.301029996
1.6711728427151 2.00000 1.477121255Intensidades máximas (mm/hora).- Jaen 1.4885507165004 2.00000 1.77815125
T (años) P.Max 24 h.Duración en minutos 2.00945090 1.698970004 0.698970004
5 10 15 20 30 60 1.88366144 1.698970004 1200 108.0 124.3 93.0 75.8 64.9 51.5 33.8 1.79448805 1.698970004 1.176091259100 102.5 113.2 84.8 69.1 59.1 46.9 30.8 1.72672721 1.698970004 1.30102999650 97.0 102.2 76.5 62.3 53.3 42.3 27.8 1.62634037 1.698970004 1.47712125530 92.8 94.0 70.3 57.3 49.1 38.9 25.5 1.44404480 1.698970004 1.7781512520 89.4 87.5 65.5 53.4 45.7 36.2 23.8 1.97312785 1.477121255 0.69897000410 83.4 76.4 57.2 46.6 39.9 31.6 20.6 1.84695533 1.477121255 15 76.8 65.3 48.9 39.9 34.1 27.0 17.8 1.75815462 1.477121255 1.1760912592 66.3 50.7 37.9 30.9 26.5 21.0 13.8 1.69108149 1.477121255 1.301029996
Fuente: Elaboración del autor 1.58994960 1.477121255 1.4771212551.40654018 1.477121255 1.77815125
Resultado del Análisis de Regresión: 1.94200805 1.301029996 0.698970004Constante 2.0668542 Log K= 2.0669 K= 116.64 1.81624130 1.301029996 1Err. estándar de est.Y 0.0230194 m= 0.192 1.72754126 1.301029996 1.176091259R cuadrada 0.98905 n= 0.527 1.65991620 1.301029996 1.301029996
Núm. de observaciones 48 I= 1.55870857 1.301029996 1.477121255
Grado de libertad 45 Donde: 1.37657696 1.301029996 1.77815125Coeficiente(s) X 0.1917446 -0.5269338 T= años 1.88309336 1 0.698970004Error estándar de coef. 0.0053256 0.0097002 t= minutos 1.75739603 1 1Fuente: Elaboración del autor 1.66838592 1 1.176091259
1.60097290 1 1.3010299961.49968708 1 1.4771212551.31386722 1 1.77815125
1.8149131812751 0.698970004 0.6989700041.6893088591236 0.698970004 11.6009728956867 0.698970004 1.1760912591.5327543789925 0.698970004 1.3010299961.431363764159 0.698970004 1.477121255
1.2504200023089 0.698970004 1.778151251.7050079593333 0.301029996 0.6989700041.5786392099681 0.301029996 11.4899584794248 0.301029996 1.1760912591.4232458739368 0.301029996 1.3010299961.3222192947339 0.301029996 1.4771212551.1398790864012 0.301029996 1.77815125
116.64 T 0.192
t0.527
Intensidades máximas (mm/h).- ESTACIÓN ARIAL CUENCA AMOJÚ
I=
K= 116.64m= 0.192n= 0.527
Período de Retorno (T) en años2 5 10 20 30 50 100 200
5 57.05 68.01 77.67 88.72 95.89 105.76 120.79 137.9610 39.59 47.20 53.91 61.57 66.55 73.40 83.83 95.7520 27.48 32.76 37.41 42.73 46.19 50.94 58.18 66.4530 22.19 26.46 30.22 34.51 37.30 41.14 46.99 53.6740 19.07 22.73 25.97 29.66 32.06 35.35 40.38 46.1250 16.96 20.21 23.09 26.37 28.50 31.43 35.90 41.0060 15.40 18.36 20.97 23.95 25.89 28.55 32.61 37.2570 14.20 16.93 19.34 22.08 23.87 26.33 30.07 34.3480 13.24 15.78 18.02 20.58 22.25 24.54 28.02 32.0190 12.44 14.83 16.94 19.34 20.91 23.06 26.34 30.08
100 11.77 14.03 16.02 18.30 19.78 21.81 24.92 28.46110 11.19 13.34 15.24 17.40 18.81 20.75 23.70 27.06120 10.69 12.74 14.55 16.62 17.97 19.82 22.63 25.85
K T m
tn
Duración (t) (minutos)
0 10 20 30 40 50 60 70 80 90 100 110 1200
10
20
30
40
50
60
70
80
90
100
110
120
130
140
150
Curva Intensidad-Duración-FrecuenciaEstación Amoju
TR 2 TR 5 TR 10 TR 20
TR 30 TR 50 TR 100 TR 200
Duración en minutos
Inte
nsid
ad (
mm
/hor
a)
CALCULO DEL HIETOGRAMA A PARTIR DE LAS CURVAS IDF*
Para Tr = 50 años
Intensidad (mm/hr)Tiempo (mim)
de a60 28.550 28.550 28.550 28.550 - 60 2.590
120 19.820 39.640 11.090 11.090 60 120 2.660180 16.000 48.000 8.360 8.360 120 180 2.850240 13.750 55.000 7.000 7.000 180 240 3.000300 12.230 61.150 6.150 6.150 240 300 3.170360 11.110 66.660 5.510 5.510 300 360 3.470420 10.240 71.680 5.020 5.020 360 420 3.750480 9.550 76.400 4.720 4.720 420 480 4.170540 8.970 80.730 4.330 4.330 480 540 4.720600 8.490 84.900 4.170 4.170 540 600 5.510660 8.070 88.770 3.870 3.870 600 660 7.000720 7.710 92.520 3.750 3.750 660 720 11.090780 7.390 96.070 3.550 3.550 720 780 28.550840 7.110 99.540 3.470 3.470 780 840 8.360900 6.850 102.750 3.210 3.210 840 900 6.150960 6.620 105.920 3.170 3.170 900 960 5.020
1020 6.420 109.140 3.220 3.220 960 1020 4.3301080 6.230 112.140 3.000 3.000 1020 1080 3.8701140 6.050 114.950 2.810 2.810 1080 1140 3.5501200 5.890 117.800 2.850 2.850 1140 1200 3.2101260 5.740 120.540 2.740 2.740 1200 1260 3.2201320 5.600 123.200 2.660 2.660 1260 1320 2.8101380 5.470 125.810 2.610 2.610 1320 1380 2.7401440 5.350 128.400 2.590 2.590 1380 1440 2.610
* Fuente: Manual de Hidrologia Hidraulica y Drenaje
Tiempo (min)
Preci. acumulada (mm)
Prec. Incremen
tal
Prec. Ordenada
Precipitacion
0.0002.0004.0006.0008.000
10.00012.00014.00016.00018.00020.00022.00024.00026.00028.00030.000
HIETOGRAMA DE PRECIPITACION EFECTIVA
P (m
m)
Tiempo (min)
FORMULAS PARA EL CALCULO DE LAS PRECIPITACIONES NETAS*
Fuente: Hidrología Aplicada (Ven te Chow)
1.- Calculo del Numero adimensional de curvas (CN)*
Donde:
S en Plg.
Nota: Considerando el caso mas critico, es decir para condiciones humedas
(considerar condiciones normales CN II)
DatosArea de cuenca 159.4182 km2
a) Tierras cultivadas, sin tratamiento de conservacion 8%b) Tierras cultivadas, con tratamiento de conservacion 3%c) Pastizales en condiciones pobres 2%d) Pastizales en condiciones optimas 5%e) Vegas de rios en condiciones optimas 5%f) Bosques con troncos delgados, cubierta pobre, sin hierbas 25%
g) Bosques con cubierta buena 53%
DESCRIPCIÓN DEL USO DE LA TIERRAGRUPO HIDROLÓGICO DEL SUELO
A B C D
72 81 88 91
con tratamiento de conservación 62 71 78 81
68 79 86 89
condiciones óptimas 39 61 74 80
30 58 71 78
45 66 77 83
cubierta buena 25 55 70 77
A = 22%B = 78%
Uso de sueloGrupo hidrologico de suelo
0.22 * A 0.78 * B% CN Prod. % CN Prod.
a) 1.65 72 1.188 5.85 81 4.7385b) 0.55 62 0.341 1.95 71 1.3845c) 0.44 68 0.2992 1.56 79 1.2324d) 1.1 39 0.429 3.9 61 2.379e) 1.1 30 0.33 3.9 58 2.262f) 5.5 45 2.475 19.5 66 12.87g) 11.66 25 2.915 41.34 55 22.737
∑ = 7.9772 ∑ = 47.60CN, ponderado = 7.98 + 47.60 55.58 = CN (II)
2.- Calculo del valor de "CN (III)"
74.21
3.- Calculo del valor de "S"
= 7.992 plg 202.99 mm
4.- Calculo de la Precipitación efectiva
Para Tr = 200 años
Duracion (hr) Intensid. (mm/hr) Preci. Acumul Pe (mm) P orde. Pe (cm)
1 37.25 37.25 0.06 0.06 2.36 0.0062 25.85 51.70 0.58 0.52 2.35 0.0523 20.88 62.64 2.16 1.58 2.35 0.1584 17.94 71.76 4.15 1.99 2.34 0.1995 15.95 79.75 6.33 2.18 2.33 0.2186 14.49 86.94 8.61 2.28 2.33 0.2287 13.36 93.52 10.94 2.33 2.28 0.2338 12.45 99.60 13.29 2.34 2.27 0.2349 11.70 105.30 15.64 2.35 2.27 0.23510 11.07 110.70 17.99 2.36 2.27 0.23611 10.53 115.83 20.34 2.35 2.23 0.23512 10.06 120.72 22.67 2.33 2.23 0.23313 9.64 125.32 24.95 2.27 2.18 0.22714 9.27 129.78 27.22 2.27 2.18 0.22715 8.94 134.10 29.49 2.27 2.17 0.22716 8.64 138.24 31.71 2.23 2.15 0.22317 8.37 142.29 33.94 2.23 2.15 0.22318 8.12 146.16 36.11 2.17 2.12 0.21719 7.89 149.91 38.26 2.15 2.07 0.21520 7.68 153.60 40.41 2.15 2.04 0.21521 7.49 157.29 42.59 2.18 1.99 0.21822 7.31 160.82 44.72 2.12 1.58 0.21223 7.14 164.22 46.79 2.07 0.52 0.20724 6.98 167.52 48.83 2.04 0.06 0.204
Para Tr = 100 años
Duracion (hr) Intensid. (mm/hr) Preci. Acumul Pe (mm) P orde. Pe (cm)
1 32.61 32.61 0.33 0.33 1.80 0.0332 22.63 45.26 0.10 -0.22 1.79 0.0003 18.28 54.84 0.93 0.83 1.79 0.0834 15.71 62.84 2.20 1.26 1.78 0.1265 13.97 69.85 3.68 1.49 1.76 0.1496 12.69 76.14 5.30 1.61 1.76 0.1617 11.70 81.90 6.98 1.69 1.75 0.1698 10.90 87.20 8.70 1.72 1.75 0.1729 10.25 92.25 10.48 1.78 1.74 0.17810 9.69 96.90 12.22 1.75 1.72 0.17511 9.22 101.42 14.02 1.80 1.72 0.18012 8.80 105.60 15.77 1.74 1.71 0.17413 8.44 109.72 17.56 1.79 1.70 0.17914 8.12 113.68 19.35 1.79 1.70 0.17915 7.83 117.45 21.10 1.76 1.69 0.17616 7.57 121.12 22.87 1.76 1.66 0.17617 7.33 124.61 24.59 1.72 1.64 0.17218 7.11 127.98 26.30 1.70 1.63 0.17019 6.91 131.29 28.01 1.71 1.61 0.17120 6.73 134.60 29.75 1.75 1.49 0.17521 6.56 137.76 31.45 1.70 1.26 0.17022 6.40 140.80 33.11 1.66 0.83 0.16623 6.25 143.75 34.76 1.64 0.33 0.16424 6.11 146.64 36.39 1.63 0.00 0.163
Para Tr = 50 años
Duracion (hr) Intensid. (mm/hr) Preci. Acumul Pe (mm) P orde. Pe (cm)
1 28.55 28.55 0.76 0.76 1.40 0.0762 19.82 39.64 0.00 -0.76 1.36 0.0003 16.00 48.00 0.26 0.26 1.34 0.0264 13.75 55.00 0.95 0.69 1.34 0.0695 12.23 61.15 1.89 0.94 1.34 0.0946 11.11 66.66 2.97 1.08 1.33 0.1087 10.24 71.68 4.13 1.16 1.33 0.1168 9.55 76.40 5.37 1.24 1.32 0.1249 8.97 80.73 6.62 1.26 1.32 0.12610 8.49 84.90 7.94 1.31 1.31 0.13111 8.07 88.77 9.24 1.30 1.31 0.13012 7.71 92.52 10.58 1.34 1.30 0.13413 7.39 96.07 11.91 1.33 1.30 0.13314 7.11 99.54 13.26 1.36 1.30 0.13615 6.85 102.75 14.57 1.31 1.29 0.13116 6.62 105.92 15.90 1.33 1.26 0.13317 6.42 109.14 17.30 1.40 1.24 0.14018 6.23 112.14 18.64 1.34 1.16 0.13419 6.05 114.95 19.93 1.29 1.08 0.12920 5.89 117.80 21.27 1.34 0.94 0.13421 5.74 120.54 22.59 1.32 0.76 0.13222 5.60 123.20 23.89 1.30 0.69 0.13023 5.47 125.81 25.19 1.30 0.26 0.13024 5.35 128.40 26.51 1.32 0.00 0.132
Para Tr = 30 años
Duracion (hr) Intensid. (mm/hr) Preci. Acumul Pe (mm) P orde. Pe (cm)
1 25.89 25.89 1.15 1.15 1.15 0.1152 17.97 35.94 0.11 -1.04 1.14 0.0003 14.51 43.53 0.04 -0.07 1.13 0.0004 12.47 49.88 0.41 0.36 1.11 0.0365 11.09 55.45 1.01 0.61 1.08 0.0616 10.07 60.42 1.76 0.75 1.08 0.0757 9.29 65.03 2.62 0.86 1.08 0.0868 8.65 69.20 3.53 0.91 1.08 0.0919 8.13 73.17 4.50 0.97 1.06 0.09710 7.69 76.90 5.51 1.00 1.06 0.10011 7.32 80.52 6.56 1.05 1.06 0.10512 6.99 83.88 7.61 1.05 1.06 0.10513 6.70 87.10 8.67 1.06 1.05 0.10614 6.44 90.16 9.73 1.06 1.05 0.10615 6.21 93.15 10.81 1.08 1.05 0.10816 6.01 96.16 11.94 1.13 1.00 0.11317 5.82 98.94 13.02 1.08 0.97 0.10818 5.65 101.70 14.14 1.11 0.91 0.11119 5.49 104.31 15.22 1.08 0.86 0.10820 5.34 106.80 16.28 1.06 0.75 0.10621 5.20 109.20 17.33 1.05 0.61 0.10522 5.08 111.76 18.47 1.14 0.36 0.11423 4.96 114.08 19.53 1.06 0.00 0.10624 4.85 116.40 20.61 1.08 0.00 0.108
FORMULAS PARA EL CALCULO DEL HIDROGRAMA TRIANGULAR*
*.- El tiempo de recesión, tr puede aproximarse a:
Donde:A : es el área de drenaje en Km2Tp : es el tiempo de ocurrencia del pico en horas
Se sabe tambien que
Donde:tp: Tiempo de retardo (entre el centroide del hietograma y el pico de caudal) (h)
tc: Tiempo de concentración de la cuenca.
*.- El tiempo de ocurrencia del pico, Tp, se puede expresar como:
TP=tc^0.5+tp
D
P
tp
Q
qp
tTp tr
Hidrograma unitario triangular del SCS. Fuente: Hidrologia Aplicada (Ven te Chow)
CALCULO DE HIDROGRAMA SINTETICO TRIANGULAR DEL SCS*
Datos de entrada
Datos de entradaLong cauce 25.02 km. Long cauce=Cota max 3000.00 m Cota max=Cota min 710.00 m Cota min=Superficie 159.42 km2 Superficie=
Precipitación=
Duración P neta=Cálculos
T c = 119.3 minutosT c = 1.99 horas
tp= 1.19TP=tc^0.5+tp
Tiempo de ocurrencia (Tp) 2.603 horasTiempo base 6.95 horas
Caudal de la punta (qp) … 127.40
Datos para dibujar el triángulotiempo Q
0.00 0.002.603 127.406.95 0.00
Q (m3/s)
D
tp
127.40
2.603 4.346 t(hr)
GRAFICA DEL DIAGRAMA UNITARIO PARA TR = 200 años
Se define un número adimensional de curva CN, tal que 0<=CN<=100 para superficies impermeables y superficies de agua CN = 100; para superficies naturales CN < 100. El número de curva y S se relacionan por:
Tierra cultivada : sin tratamientos de conservación
Pastizales: condiciones pobres
Vegas de ríos: condiciones óptimas
Bosques: troncos delgados, cubierta pobre, sin hierbas
Grupos Hidrologicos
Pe pa.(mm)
Pe pa.(mm)
Pe pa.(mm)
Pe pa.(mm)
*.- Como el área bajo el HU debe ser igual a una escorrentía de 1 cm,puede demostrarse que:
m3/seg.
0.0 1.0 2.0 3.0 4.0 5.0 6.0 7.0 8.0 9.0 10.0 11.0 12.00.0
20.0
40.0
60.0
80.0
100.0
120.0
140.0127.40
Tp = tr =
qp =
=
10CN
1000S
)II(CN13.010)II(CN23
)III(CN
SP
SPPe
08
)2.0(
T 67.1tr
TpA 08.2Pq
tc6.0tp
)II(CN13.010
)II(CN23)III(CN
10CN
1000S
T (horas)PRECIPITACIONES EFECTIVAS POR INTERVALOS (cm)
0.006 0.052 0.158 0.199 0.218 0.228 0.2330 0.00 0.01 48.95 0.3 02 97.90 0.5 2.5428 0
2.603 127.41 0.7 5.0856 7.7501885 03 115.75 0.7 6.6180 15.500377 9.7320090603 04 86.44 0.5 6.0128 20.171042 19.464018121 10.6874215 05 57.13 0.3 4.4902 18.326428 25.329031353 21.3748431 11.174648791 06 27.82 0.2 2.9676 13.685688 23.012726278 27.8156374 22.349297582 11.4094722
6.95 0.00 0.0 1.4450 9.0449474 17.185290227 25.2719356 29.083720313 22.81894447 0.0000 4.404207 11.357854176 18.8724075 26.424054097 29.69488388 0 5.5304181247 12.4728794 19.732778861 26.97932769 0 6.07335129 13.041503625 20.147442310 0 6.3502283884 13.31555711 0 6.483671712 01314151617181920212223242526272829303132
* Fuente: Manual de Hidrologia Hidraulica y Drenaje
GRAFICA DEL DIAGRAMA UNITARIO PARA TR = 100 años
T (horas)PRECIPITACIONES EFECTIVAS POR INTERVALOS (cm)
0.033 0.000 0.083 0.126 0.149 0.161 0.1690 0.00 0.01 48.95 1.6 02 97.90 3.2 0 0
2.603 127.41 4.2 0 4.0580018 03 115.75 3.8 0 8.1160037 6.1808631929 04 86.44 2.8 0 10.561566 12.361726386 7.28374687 05 57.13 1.9 0 9.5957253 16.086635003 14.5674937 7.8880254986 06 27.82 0.9 0 7.1658317 14.615534361 18.9570573 15.776050997 8.25787881
6.95 0.00 0.0 0 4.7359382 10.914491259 17.2234604 20.529784131 16.51575767 0.00 0.0 0 2.3060446 7.2134481576 12.8620209 18.652363613 21.49238358 0.00 0.0 0 0 3.512405056 8.50058136 13.929087681 19.52693469 0.00 0.0 0 0 0 4.13914182 9.205811749 14.58219410 0 0 0 0 4.4825358171 9.6374533511 0 0 0 0 4.6927127112 0 0 0 013 0 0 014 0 015 01617181920212223242526272829303132
Figura 13. Cálculo del Caudal de Diseño mediante el proceso de convulación
GRAFICA DEL DIAGRAMA UNITARIO PARA TR = 50 años
T (horas)PRECIPITACIONES EFECTIVAS POR INTERVALOS (cm)
0.076 0.000 0.026 0.069 0.094 0.108 0.1160 0.00 0.01 48.95 3.7 02 97.90 7.4 0 0
2.603 127.41 9.7 0 1.2522242 03 115.75 8.8 0 2.5044485 3.3955141781 04 86.44 6.6 0 3.2591037 6.7910283561 4.57866421 05 57.13 4.3 0 2.9610631 8.8373412461 9.15732841 5.2663959098 06 27.82 2.1 0 2.211243 8.0291785456 11.9166689 10.53279182 5.68768658
6.95 0.00 0.0 0 1.4614228 5.9959763969 10.8269059 13.70659504 11.37537327 0.00 0.0 0 0.7116027 3.9627742481 8.08524455 12.453145778 14.8030688 0.00 0.0 0 0 1.9295720993 5.34358323 9.2996771374 13.44934789 0.00 0.0 0 0 0 2.6019219 6.1462084966 10.043614210 0 0 0 0 2.9927398557 6.6378806611 0 0 0 0 3.2321471112 0 0 0 013 0 0 014 0 015 01617181920212223242526272829303132
* Fuente: Manual de Hidrologia Hidraulica y Drenaje
GRAFICA DEL DIAGRAMA UNITARIO PARA TR = 30 años
T (horas)PRECIPITACIONES EFECTIVAS POR INTERVALOS (cm)
0.115 0.000 0.000 0.036 0.061 0.075 0.0860 0.00 0.01 48.95 5.6 02 97.90 11.2 0 0
2.60 127.41 14.6 0 0 03 115.75 13.3 0 0 1.7822138967 04 86.44 9.9 0 0 3.5644277933 2.96970501 05 57.13 6.6 0 0 4.6384822894 5.93941002 3.6753230406 06 27.82 3.2 0 0 4.2142994647 7.72910822 7.3506460811 4.2160994
6.95 0.00 0.0 0 0 3.1471264434 7.02229191 9.5655862989 8.43219887 0 0 2.0799534221 5.24406031 8.6908265901 10.97303898 0 1.0127804007 3.46582871 6.4900775101 9.969569579 0 0 1.68759711 4.2893284301 7.4450086710 0 0 0 2.08857935 4.9204477611 0 0 0 0 2.3958868512 0 0 0 013 0 0 014 0 015 01617181920212223242526272829303132
* Fuente: Manual de Hidrologia Hidraulica y Drenaje
H.U. (m3/s/cm)
H.U. (m3/s/cm)
H.U. (m3/s/cm)
H.U. (m3/s/cm)
0 5 10 15 20 25 300
20
40
60
80
100
120
140
Q para Tr = 200 años
Q para Tr = 100 años
Q para Tr = 50 años
Q para Tr = 30 años
Q (
m3/
S)
Tiempo ( Hr)
ESTIMACIÓN DE CAUDALES
Método Racional Modificado
Q = 0.278 CIAK
Donde:Q= Descarga Máxima de Diseño (m3/s)C= Coeficiente de Escorrentía para el intervalo en que se produce I.I= Intensidad de Precipitación Máxima Horaria (mm/h)A= Area de la Cuenca (Km2)
Las fórmulas que definen los factores de la fórmula general, son los siguientes:
A) Tiempo de Concenración (Tc)
………………Ec. 1
Donde:L = Longitud del Cauce Mayor (Km)
S = Pendiente Promedio del cauce mayor (m/m)
Tc = 5.503 h
B) Coeficiente de Uniformidad (Tc)
……………….Ec. 2
Donde:Tc = Tiempo de Concentración (horas)
K = 1.37578032
Donde:A = Area de la cuenca (Km2) 159.418204 km2
KA = 0.85316414
D) Precipitación máxima corregida sobre la cuenca (P)
Donde:
C) Coeficiente de Simultaniedad o Factor reductor (KA)
𝑇𝑐=0.3〖 (𝐿/𝑆^0.25 )〗^0.76
K =1+〖〖𝑇𝑐〗 ^1.25/( 〖𝑇𝑐〗 ^1.25+14) 〗 ^
Pd = Precipitación máxima diaria (mm)
Tabla 15. Precipitación máxima corregida
ESTACIÓN ARIAL CUENCA AMOJÚ
T R P
2 0.000 0.005 76.810 65.53
10 83.375 71.1320 89.427 76.3030 92.824 79.1950 97.002 82.76100 102.546 87.49200 107.997 92.14
E) Intensidad de Precipitación (I)
Donde:P = Precipitación máxima corregida (mm)
Tc= Tiempo de concentración (horas)
Tabla 16. Intensidad de Precipitación
T R P I
2 0.00 0.0005 65.53 9.728
10 71.13 10.55920 76.30 11.32630 79.19 11.75650 82.76 12.285100 87.49 12.987200 92.14 13.677
F) Coeficiente de Escorrentía (C)
Donde: Pd = Precipitación máxima diaria (mm)
Po = Umbral de Escorrentía = (5000/CN) - 49 CN = Número de curva
KA = Factor reductor
PRECIP. MÁX LN3
CN = 74.21Po= 18.37
Tabla 17. Coeficiente de Escorrentia
T R P C
2 0.000 -0.19015 65.531 0.3213
10 71.132 0.348920 76.296 0.372830 79.194 0.385750 82.759 0.4009100 87.488 0.4204200 92.139 0.4385
G) CAUDALQ = 0.278 CIAK
A= 159.418 km2K = 1.37578
Tabla 18. Caudales en diferentes tiempos de retorno.
T R C I Q
2 -0.1901 0.000 0.0005 0.3213 9.728 190.598
10 0.3489 10.559 224.61620 0.3728 11.326 257.44630 0.3857 11.756 276.44050 0.4009 12.285 300.327100 0.4204 12.987 332.859200 0.4385 13.677 365.710
Q. Amoju RS: 2750 Profile: TR10 E.G. Elev (m) 773.25 Element Left OB Channel Right OB Vel Head (m) 0.59 Wt. n-Val. 0.024 W.S. Elev (m) 772.65 Reach Len. (m) 50.00 50.00 50.00 Crit W.S. (m) 772.65 Flow Area (m2) 65.77 E.G. Slope (m/m) 0.005232 Area (m2) 65.77 Q Total (m3/s) 224.62 Flow (m3/s) 224.62 Top Width (m) 56.30 Top Width (m) 56.30 Vel Total (m/s) 3.42 Avg. Vel. (m/s) 3.42 Max Chl Dpth (m) 1.82 Hydr. Depth (m) 1.17 Conv. Total (m3/s) 3105.3 Conv. (m3/s) 3105.3 Length Wtd. (m) 50.00 Wetted Per. (m) 57.68 Min Ch El (m) 770.84 Shear (N/m2) 58.50 Alpha 1.00 Stream Power (N/m s) 19151.15 0.00 0.00 Frctn Loss (m) 0.40 Cum Volume (1000 m3) 8.61 106.11 2.68 C & E Loss (m) 0.01 Cum SA (1000 m2) 22.84 139.48 8.19
Q. Amoju RS: 2750 Profile: TR50 E.G. Elev (m) 773.57 Element Left OB Channel Right OB Vel Head (m) 0.54 Wt. n-Val. 0.080 0.024 W.S. Elev (m) 773.03 Reach Len. (m) 50.00 50.00 50.00 Crit W.S. (m) 773.04 Flow Area (m2) 0.01 92.48 E.G. Slope (m/m) 0.005123 Area (m2) 0.01 92.48 Q Total (m3/s) 300.33 Flow (m3/s) 0.00 300.33 Top Width (m) 87.10 Top Width (m) 0.46 86.64 Vel Total (m/s) 3.25 Avg. Vel. (m/s) 0.06 3.25 Max Chl Dpth (m) 2.20 Hydr. Depth (m) 0.02 1.07 Conv. Total (m3/s) 4196.0 Conv. (m3/s) 0.0 4196.0 Length Wtd. (m) 50.00 Wetted Per. (m) 0.49 88.61 Min Ch El (m) 770.84 Shear (N/m2) 0.79 52.44 Alpha 1.00 Stream Power (N/m s) 19151.15 0.00 0.00 Frctn Loss (m) 0.38 Cum Volume (1000 m3) 13.65 134.86 5.14 C & E Loss (m) 0.01 Cum SA (1000 m2) 27.56 158.89 11.54
Q. Amoju RS: 2750 RS: 2750 Profile: TR100 E.G. Elev (m) 773.68 Element Left OB Channel Right OB Vel Head (m) 0.55 Wt. n-Val. 0.080 0.024 W.S. Elev (m) 773.13 Reach Len. (m) 50.00 50.00 50.00 Crit W.S. (m) 773.13 Flow Area (m2) 0.12 101.58 E.G. Slope (m/m) 0.005205 Area (m2) 0.12 101.58 Q Total (m3/s) 332.86 Flow (m3/s) 0.02 332.84 Top Width (m) 96.02 Top Width (m) 1.81 94.21 Vel Total (m/s) 3.27 Avg. Vel. (m/s) 0.14 3.28 Max Chl Dpth (m) 2.30 Hydr. Depth (m) 0.07 1.08 Conv. Total (m3/s) 4613.8 Conv. (m3/s) 0.2 4613.5 Length Wtd. (m) 50.00 Wetted Per. (m) 1.95 96.33 Min Ch El (m) 770.84 Shear (N/m2) 3.19 53.82 Alpha 1.00 Stream Power (N/m s) 19151.15 0.00 0.00 Frctn Loss (m) Cum Volume (1000 m3) 16.02 147.01 6.48 C & E Loss (m) Cum SA (1000 m2) 29.78 167.94 14.60
Q. Amoju RS: 2750 Profile: TR200
E.G. Elev (m) 773.79 Element Left OB Channel Right OB Vel Head (m) 0.57 Wt. n-Val. 0.080 0.024 W.S. Elev (m) 773.21 Reach Len. (m) 50.00 50.00 50.00 Crit W.S. (m) 773.21 Flow Area (m2) 0.30 109.09 E.G. Slope (m/m) 0.005219 Area (m2) 0.30 109.09 Q Total (m3/s) 365.71 Flow (m3/s) 0.06 365.65 Top Width (m) 100.48 Top Width (m) 2.86 97.62 Vel Total (m/s) 3.34 Avg. Vel. (m/s) 0.19 3.35 Max Chl Dpth (m) 2.38 Hydr. Depth (m) 0.11 1.12 Conv. Total (m3/s) 5062.4 Conv. (m3/s) 0.8 5061.6 Length Wtd. (m) 50.00 Wetted Per. (m) 3.08 99.86 Min Ch El (m) 770.84 Shear (N/m2) 5.06 55.91 Alpha 1.01 Stream Power (N/m s) 19151.15 0.00 0.00 Frctn Loss (m) Cum Volume (1000 m3) 18.40 159.55 8.05 C & E Loss (m) Cum SA (1000 m2) 32.57 177.97 17.49
Q. Amojú RS: 1450 Profile: TR10 E.G. Elev (m) 730.86 Element Left OB Channel Right OB Vel Head (m) 3.03 Wt. n-Val. 0.024 W.S. Elev (m) 727.84 Reach Len. (m) 50.00 50.00 50.00 Crit W.S. (m) 728.85 Flow Area (m2) 29.14 E.G. Slope (m/m) 0.025864 Area (m2) 29.14 Q Total (m3/s) 224.62 Flow (m3/s) 224.62 Top Width (m) 21.74 Top Width (m) 21.74 Vel Total (m/s) 7.71 Avg. Vel. (m/s) 7.71 Max Chl Dpth (m) 1.59 Hydr. Depth (m) 1.34 Conv. Total (m3/s) 1396.7 Conv. (m3/s) 1396.7 Length Wtd. (m) 50.00 Wetted Per. (m) 23.62 Min Ch El (m) 726.25 Shear (N/m2) 312.88 Alpha 1.00 Stream Power (N/m s) 19151.15 0.00 0.00 Frctn Loss (m) 1.37 Cum Volume (1000 m3) 6.44 64.14 0.95 C & E Loss (m) 0.05 Cum SA (1000 m2) 17.26 93.84 4.74
Q. Amojú RS: 1450 Profile: TR50 E.G. Elev (m) 731.53 Element Left OB Channel Right OB Vel Head (m) 3.37 Wt. n-Val. 0.024 W.S. Elev (m) 728.16 Reach Len. (m) 50.00 50.00 50.00 Crit W.S. (m) 729.16 Flow Area (m2) 36.93 E.G. Slope (m/m) 0.023862 Area (m2) 36.93 Q Total (m3/s) 300.33 Flow (m3/s) 300.33 Top Width (m) 29.63 Top Width (m) 29.63 Vel Total (m/s) 8.13 Avg. Vel. (m/s) 8.13 Max Chl Dpth (m) 1.91 Hydr. Depth (m) 1.25 Conv. Total (m3/s) 1944.2 Conv. (m3/s) 1944.2 Length Wtd. (m) 50.00 Wetted Per. (m) 32.14 Min Ch El (m) 726.25 Shear (N/m2) 268.91 Alpha 1.00 Stream Power (N/m s) 19151.15 0.00 0.00 Frctn Loss (m) 1.18 Cum Volume (1000 m3) 10.07 83.00 2.74 C & E Loss (m) 0.07 Cum SA (1000 m2) 19.34 108.74 7.09
Q. Amojú RS: 1450 Profile: TR100 E.G. Elev (m) 731.76 Element Left OB Channel Right OB Vel Head (m) 3.50 Wt. n-Val. 0.024 W.S. Elev (m) 728.26 Reach Len. (m) 50.00 50.00 50.00 Crit W.S. (m) 729.25 Flow Area (m2) 40.16 E.G. Slope (m/m) 0.024476 Area (m2) 40.16 Q Total (m3/s) 332.86 Flow (m3/s) 332.86 Top Width (m) 34.37 Top Width (m) 34.37 Vel Total (m/s) 8.29 Avg. Vel. (m/s) 8.29 Max Chl Dpth (m) 2.01 Hydr. Depth (m) 1.17 Conv. Total (m3/s) 2127.6 Conv. (m3/s) 2127.6 Length Wtd. (m) 50.00 Wetted Per. (m) 37.12 Min Ch El (m) 726.25 Shear (N/m2) 259.63 Alpha 1.00 Stream Power (N/m s) 19151.15 0.00 0.00 Frctn Loss (m) 1.17 Cum Volume (1000 m3) 11.77 91.17 3.75 C & E Loss (m) 0.07 Cum SA (1000 m2) 20.28 116.25 9.31
Q. Amojú RS: 1450 Profile: TR200
E.G. Elev (m) 731.91 Element Left OB Channel Right OB Vel Head (m) 3.55 Wt. n-Val. 0.024 W.S. Elev (m) 728.36 Reach Len. (m) 50.00 50.00 50.00 Crit W.S. (m) 729.49 Flow Area (m2) 43.80 E.G. Slope (m/m) 0.024739 Area (m2) 43.80 Q Total (m3/s) 365.71 Flow (m3/s) 365.71 Top Width (m) 38.62 Top Width (m) 38.62 Vel Total (m/s) 8.35 Avg. Vel. (m/s) 8.35 Max Chl Dpth (m) 2.11 Hydr. Depth (m) 1.13 Conv. Total (m3/s) 2325.1 Conv. (m3/s) 2325.1 Length Wtd. (m) 50.00 Wetted Per. (m) 41.55 Min Ch El (m) 726.25 Shear (N/m2) 255.74 Alpha 1.00 Stream Power (N/m s) 19151.15 0.00 0.00 Frctn Loss (m) 1.09 Cum Volume (1000 m3) 13.41 99.51 4.92 C & E Loss (m) 0.08 Cum SA (1000 m2) 21.59 124.22 11.03
Q. Amojú RS: 1100 Profile: TR10 E.G. Elev (m) 719.88 Element Left OB Channel Right OB Vel Head (m) 3.27 Wt. n-Val. 0.024 W.S. Elev (m) 716.60 Reach Len. (m) 50.00 50.00 50.00 Crit W.S. (m) 717.56 Flow Area (m2) 28.02 E.G. Slope (m/m) 0.029056 Area (m2) 28.02 Q Total (m3/s) 224.62 Flow (m3/s) 224.62 Top Width (m) 21.24 Top Width (m) 21.24 Vel Total (m/s) 8.02 Avg. Vel. (m/s) 8.02 Max Chl Dpth (m) 1.60 Hydr. Depth (m) 1.32 Conv. Total (m3/s) 1317.7 Conv. (m3/s) 1317.7 Length Wtd. (m) 50.00 Wetted Per. (m) 23.36 Min Ch El (m) 715.00 Shear (N/m2) 341.69 Alpha 1.00 Stream Power (N/m s) 19151.15 0.00 0.00 Frctn Loss (m) 1.45 Cum Volume (1000 m3) 6.44 52.75 0.95 C & E Loss (m) 0.01 Cum SA (1000 m2) 17.26 80.50 4.74
Q. Amojú RS: 1100 Profile: TR50 E.G. Elev (m) 720.85 Element Left OB Channel Right OB Vel Head (m) 3.97 Wt. n-Val. 0.024 W.S. Elev (m) 716.88 Reach Len. (m) 50.00 50.00 50.00 Crit W.S. (m) 718.39 Flow Area (m2) 34.03 E.G. Slope (m/m) 0.029319 Area (m2) 34.03 Q Total (m3/s) 300.33 Flow (m3/s) 300.33 Top Width (m) 22.49 Top Width (m) 22.49 Vel Total (m/s) 8.83 Avg. Vel. (m/s) 8.83 Max Chl Dpth (m) 1.88 Hydr. Depth (m) 1.51 Conv. Total (m3/s) 1754.0 Conv. (m3/s) 1754.0 Length Wtd. (m) 50.00 Wetted Per. (m) 24.73 Min Ch El (m) 715.00 Shear (N/m2) 395.60 Alpha 1.00 Stream Power (N/m s) 19151.15 0.00 0.00 Frctn Loss (m) 1.46 Cum Volume (1000 m3) 10.07 69.01 2.74 C & E Loss (m) 0.02 Cum SA (1000 m2) 19.34 91.93 7.09
Q. Amojú RS: 1100 Profile: TR100 E.G. Elev (m) 721.20 Element Left OB Channel Right OB Vel Head (m) 4.21 Wt. n-Val. 0.024 W.S. Elev (m) 716.99 Reach Len. (m) 50.00 50.00 50.00 Crit W.S. (m) 718.57 Flow Area (m2) 36.61 E.G. Slope (m/m) 0.029074 Area (m2) 36.61 Q Total (m3/s) 332.86 Flow (m3/s) 332.86 Top Width (m) 23.01 Top Width (m) 23.01 Vel Total (m/s) 9.09 Avg. Vel. (m/s) 9.09 Max Chl Dpth (m) 1.99 Hydr. Depth (m) 1.59 Conv. Total (m3/s) 1952.1 Conv. (m3/s) 1952.1 Length Wtd. (m) 50.00 Wetted Per. (m) 25.30 Min Ch El (m) 715.00 Shear (N/m2) 412.68 Alpha 1.00 Stream Power (N/m s) 19151.15 0.00 0.00 Frctn Loss (m) 1.43 Cum Volume (1000 m3) 11.77 76.01 3.75 C & E Loss (m) 0.01 Cum SA (1000 m2) 20.28 98.38 9.31
Q. Amojú RS: 1100 Profile: TR200
E.G. Elev (m) 721.52 Element Left OB Channel Right OB Vel Head (m) 4.41 Wt. n-Val. 0.024 W.S. Elev (m) 717.10 Reach Len. (m) 50.00 50.00 50.00 Crit W.S. (m) 718.72 Flow Area (m2) 39.30 E.G. Slope (m/m) 0.029032 Area (m2) 39.30 Q Total (m3/s) 365.71 Flow (m3/s) 365.71 Top Width (m) 23.85 Top Width (m) 23.85 Vel Total (m/s) 9.30 Avg. Vel. (m/s) 9.30 Max Chl Dpth (m) 2.11 Hydr. Depth (m) 1.65 Conv. Total (m3/s) 2146.4 Conv. (m3/s) 2146.4 Length Wtd. (m) 50.00 Wetted Per. (m) 26.19 Min Ch El (m) 715.00 Shear (N/m2) 427.19 Alpha 1.00 Stream Power (N/m s) 19151.15 0.00 0.00 Frctn Loss (m) 1.40 Cum Volume (1000 m3) 13.41 83.13 4.92 C & E Loss (m) 0.00 Cum SA (1000 m2) 21.59 104.29 11.03
Q. Amojú RS: 750 Profile: TR10 E.G. Elev (m) 709.64 Element Left OB Channel Right OB Vel Head (m) 2.41 Wt. n-Val. 0.080 0.024 W.S. Elev (m) 707.23 Reach Len. (m) 50.00 50.00 50.00 Crit W.S. (m) 707.77 Flow Area (m2) 0.23 32.66 E.G. Slope (m/m) 0.043973 Area (m2) 0.23 32.66 Q Total (m3/s) 224.62 Flow (m3/s) 0.09 224.52 Top Width (m) 73.91 Top Width (m) 3.99 69.92 Vel Total (m/s) 6.83 Avg. Vel. (m/s) 0.40 6.87 Max Chl Dpth (m) 1.27 Hydr. Depth (m) 0.06 0.47 Conv. Total (m3/s) 1071.1 Conv. (m3/s) 0.4 1070.7 Length Wtd. (m) 50.00 Wetted Per. (m) 3.99 70.35 Min Ch El (m) 705.96 Shear (N/m2) 25.36 200.19 Alpha 1.01 Stream Power (N/m s) 19151.15 0.00 0.00 Frctn Loss (m) 2.16 Cum Volume (1000 m3) 6.43 40.30 0.95 C & E Loss (m) 0.18 Cum SA (1000 m2) 15.77 65.63 4.74
Q. Amojú RS: 750 Profile: TR50 E.G. Elev (m) 710.20 Element Left OB Channel Right OB Vel Head (m) 2.88 Wt. n-Val. 0.080 0.025 W.S. Elev (m) 707.32 Reach Len. (m) 50.00 50.00 50.00 Crit W.S. (m) 707.95 Flow Area (m2) 0.73 39.82 E.G. Slope (m/m) 0.054976 Area (m2) 0.73 39.82 Q Total (m3/s) 300.33 Flow (m3/s) 0.47 299.85 Top Width (m) 90.26 Top Width (m) 7.04 83.22 Vel Total (m/s) 7.41 Avg. Vel. (m/s) 0.65 7.53 Max Chl Dpth (m) 1.36 Hydr. Depth (m) 0.10 0.48 Conv. Total (m3/s) 1280.9 Conv. (m3/s) 2.0 1278.9 Length Wtd. (m) 50.00 Wetted Per. (m) 7.04 83.78 Min Ch El (m) 705.96 Shear (N/m2) 55.94 256.26 Alpha 1.03 Stream Power (N/m s) 19151.15 0.00 0.00 Frctn Loss (m) 2.04 Cum Volume (1000 m3) 10.05 54.71 2.74 C & E Loss (m) 0.05 Cum SA (1000 m2) 19.16 77.02 7.09
Q. Amojú RS: 750 Profile: TR100 E.G. Elev (m) 710.43 Element Left OB Channel Right OB Vel Head (m) 3.08 Wt. n-Val. 0.080 0.025 W.S. Elev (m) 707.36 Reach Len. (m) 50.00 50.00 50.00 Crit W.S. (m) 708.01 Flow Area (m2) 0.99 42.69 E.G. Slope (m/m) 0.058818 Area (m2) 0.99 42.69 Q Total (m3/s) 332.86 Flow (m3/s) 0.73 332.12 Top Width (m) 92.60 Top Width (m) 8.20 84.40 Vel Total (m/s) 7.62 Avg. Vel. (m/s) 0.74 7.78 Max Chl Dpth (m) 1.39 Hydr. Depth (m) 0.12 0.51 Conv. Total (m3/s) 1372.5 Conv. (m3/s) 3.0 1369.5 Length Wtd. (m) 50.00 Wetted Per. (m) 8.20 85.00 Min Ch El (m) 705.96 Shear (N/m2) 69.72 289.72 Alpha 1.04 Stream Power (N/m s) 19151.15 0.00 0.00 Frctn Loss (m) 2.01 Cum Volume (1000 m3) 11.74 60.78 3.75 C & E Loss (m) 0.00 Cum SA (1000 m2) 20.07 83.14 9.31
Q. Amojú RS: 750 Profile: TR200
E.G. Elev (m) 710.61 Element Left OB Channel Right OB Vel Head (m) 3.22 Wt. n-Val. 0.080 0.026 W.S. Elev (m) 707.39 Reach Len. (m) 50.00 50.00 50.00 Crit W.S. (m) 708.08 Flow Area (m2) 1.31 45.77 E.G. Slope (m/m) 0.061574 Area (m2) 1.31 45.77 Q Total (m3/s) 365.71 Flow (m3/s) 1.09 364.62 Top Width (m) 95.05 Top Width (m) 9.42 85.63 Vel Total (m/s) 7.77 Avg. Vel. (m/s) 0.83 7.97 Max Chl Dpth (m) 1.43 Hydr. Depth (m) 0.14 0.53 Conv. Total (m3/s) 1473.8 Conv. (m3/s) 4.4 1469.4 Length Wtd. (m) 50.00 Wetted Per. (m) 9.43 86.26 Min Ch El (m) 705.96 Shear (N/m2) 83.90 320.40 Alpha 1.05 Stream Power (N/m s) 19151.15 0.00 0.00 Frctn Loss (m) 1.97 Cum Volume (1000 m3) 13.38 66.96 4.92 C & E Loss (m) 0.01 Cum SA (1000 m2) 20.65 88.55 11.03
Q. Amojú RS: 200 Profile: TR10 E.G. Elev (m) 694.43 Element Left OB Channel Right OB Vel Head (m) 0.30 Wt. n-Val. 0.080 0.040 0.080 W.S. Elev (m) 694.13 Reach Len. (m) 50.00 50.00 50.00 Crit W.S. (m) 694.21 Flow Area (m2) 30.33 73.50 2.49 E.G. Slope (m/m) 0.030592 Area (m2) 30.33 73.50 2.49 Q Total (m3/s) 224.62 Flow (m3/s) 32.27 191.31 1.04 Top Width (m) 331.86 Top Width (m) 89.04 213.07 29.75 Vel Total (m/s) 2.11 Avg. Vel. (m/s) 1.06 2.60 0.42 Max Chl Dpth (m) 1.18 Hydr. Depth (m) 0.34 0.34 0.08 Conv. Total (m3/s) 1284.2 Conv. (m3/s) 184.5 1093.8 6.0 Length Wtd. (m) 50.00 Wetted Per. (m) 89.40 213.62 29.78 Min Ch El (m) 692.95 Shear (N/m2) 101.80 103.21 25.10 Alpha 1.33 Stream Power (N/m s) 19014.22 0.00 0.00 Frctn Loss (m) 1.06 Cum Volume (1000 m3) 2.47 16.20 0.76 C & E Loss (m) 0.01 Cum SA (1000 m2) 7.05 21.70 2.65
Q. Amojú RS: 200 Profile: TR50 E.G. Elev (m) 694.52 Element Left OB Channel Right OB Vel Head (m) 0.29 Wt. n-Val. 0.080 0.043 0.080 W.S. Elev (m) 694.23 Reach Len. (m) 50.00 50.00 50.00 Crit W.S. (m) 694.29 Flow Area (m2) 39.30 96.35 5.49 E.G. Slope (m/m) 0.031799 Area (m2) 39.30 96.35 5.49 Q Total (m3/s) 300.33 Flow (m3/s) 50.61 245.77 3.95 Top Width (m) 358.39 Top Width (m) 89.04 239.60 29.75 Vel Total (m/s) 2.13 Avg. Vel. (m/s) 1.29 2.55 0.72 Max Chl Dpth (m) 1.28 Hydr. Depth (m) 0.44 0.40 0.18 Conv. Total (m3/s) 1684.2 Conv. (m3/s) 283.8 1378.2 22.2 Length Wtd. (m) 50.00 Wetted Per. (m) 89.50 240.21 29.89 Min Ch El (m) 692.95 Shear (N/m2) 136.93 125.08 57.26 Alpha 1.24 Stream Power (N/m s) 19014.22 0.00 0.00 Frctn Loss (m) 1.11 Cum Volume (1000 m3) 4.94 24.01 2.16 C & E Loss (m) 0.00 Cum SA (1000 m2) 9.55 26.28 3.84
Q. Amojú RS: 200 Profile: TR100 E.G. Elev (m) 694.55 Element Left OB Channel Right OB Vel Head (m) 0.28 Wt. n-Val. 0.080 0.045 0.080 W.S. Elev (m) 694.27 Reach Len. (m) 50.00 50.00 50.00 Crit W.S. (m) 694.33 Flow Area (m2) 42.88 106.04 6.69 E.G. Slope (m/m) 0.031575 Area (m2) 42.88 106.04 6.69 Q Total (m3/s) 332.86 Flow (m3/s) 58.31 269.08 5.47 Top Width (m) 361.28 Top Width (m) 89.04 242.49 29.75 Vel Total (m/s) 2.14 Avg. Vel. (m/s) 1.36 2.54 0.82 Max Chl Dpth (m) 1.32 Hydr. Depth (m) 0.48 0.44 0.22 Conv. Total (m3/s) 1873.2 Conv. (m3/s) 328.1 1514.3 30.8 Length Wtd. (m) 50.00 Wetted Per. (m) 89.54 243.11 29.93 Min Ch El (m) 692.95 Shear (N/m2) 148.30 135.05 69.17 Alpha 1.21 Stream Power (N/m s) 19014.22 0.00 0.00 Frctn Loss (m) 1.13 Cum Volume (1000 m3) 6.14 27.18 2.87 C & E Loss (m) 0.00 Cum SA (1000 m2) 10.18 28.25 4.30
Q. Amojú RS: 200 Profile: TR200
E.G. Elev (m) 694.59 Element Left OB Channel Right OB Vel Head (m) 0.29 Wt. n-Val. 0.080 0.046 0.080 W.S. Elev (m) 694.30 Reach Len. (m) 50.00 50.00 50.00 Crit W.S. (m) 694.35 Flow Area (m2) 45.62 113.54 7.60 E.G. Slope (m/m) 0.032754 Area (m2) 45.62 113.54 7.60 Q Total (m3/s) 365.71 Flow (m3/s) 65.82 293.00 6.89 Top Width (m) 364.51 Top Width (m) 89.04 245.72 29.75 Vel Total (m/s) 2.19 Avg. Vel. (m/s) 1.44 2.58 0.91 Max Chl Dpth (m) 1.35 Hydr. Depth (m) 0.51 0.46 0.26 Conv. Total (m3/s) 2020.7 Conv. (m3/s) 363.7 1618.9 38.1 Length Wtd. (m) 50.00 Wetted Per. (m) 89.57 246.36 29.96 Min Ch El (m) 692.95 Shear (N/m2) 163.60 148.04 81.49 Alpha 1.19 Stream Power (N/m s) 19014.22 0.00 0.00 Frctn Loss (m) 1.13 Cum Volume (1000 m3) 7.32 30.31 3.64 C & E Loss (m) 0.00 Cum SA (1000 m2) 10.55 29.81 5.09
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