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7/31/2019 Ejercicio Gas Shale
1/17
Vba presion (psia) tiempo (DIAS) constante valor
100 479.7 1 k 26
125 125 90 klinkenberg factor 4.5
150 110 Swi 1
175 95 Cw 3.20E-06
200 80 Pi 479.7
225 65 We 0250 50 Wp 50
275 35 i 0.01
300 20 Depth 1000
325 14.7 3650 Exp de permeabilidad 3
h 6
Cf 7.50E-06
dencidad del agua 62.4
Cw 3.20E-06
viscosidad del agua A
molecular weight of gas 1.60E+01
presion critica 673.1
temperatura critica -1.16E+02
Z B
Viscocidad del gas C
Psc 14.7
Tsc 520
T 530
Swc 0.25
Sgc 0.03
krg(Swc) 1
krw(Sgc) 1Permeavilidad Relativa D
xf 125
Da 0.0432
VL 18.6
PL 167.5
Suponemos valores de
Vb para cada presion
7/31/2019 Ejercicio Gas Shale
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unidad Wp Bw
md 50 0.02
psi 4500 0.02
fraction
psia
bblSTB
fraction
ft TVD ss
adimencional
ft
psi-1
lb/cft
psi-1
Cp
lb/lbmol
psia
F
fraction
cp
psia
R
R
fraction
fraction
fraction
fractionfraction
ft
SCF/CFT
psia
Se tiene un yacimiento de gas shale
presentados este yacimiento se encu
de agua por lo que se inici un p
deshidratacin con duracin de t
el yacimiento fue explotado durante
10 aos con una Pi de 479.7 psia,deshidratacin el yacimiento tiene un
7/31/2019 Ejercicio Gas Shale
3/17
con los datos
entra saturado
roceso de
res meses
un periodo de
luego de laa P de 125 psia.
7/31/2019 Ejercicio Gas Shale
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= 1
=
1 1 +
=
1 + +5.615
21
=2
=
=
=
+
7/31/2019 Ejercicio Gas Shale
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Correlacion de
Z Tpr Ppr dr p
0.0001 1.5411905 0.71267271 1248.52594 479.7
1.27603E+14 1.5411905 0.71267271 9.7844E-16 479.7
1 1.5411905 0.71267271 0.12485259 479.7
0.940033805 1.5411905 0.71267271 0.13281713 479.7
0.936543867 1.5411905 0.71267271 0.13331206 479.7
0.936328325 1.5411905 0.71267271 0.13334275 479.7
0.936314966 1.5411905 0.71267271 0.13334465 479.7
0.936314138 1.5411905 0.71267271 0.13334477 479.7
0.936314086 1.5411905 0.71267271 0.13334478 479.7
0.936314083 1.5411905 0.71267271 0.13334478 479.7
0.936314083 1.5411905 0.71267271 0.13334478 479.7
1.5411905 0
0.0001 1.5411905 0.18570792 325.340301 125
1 1.5411905 0.18570792 0.03253403 1251.53308E+11 1.5411905 0.18570792 2.1221E-13 125
0.983422358 1.5411905 0.18570792 0.03308246 125
1 1.5411905 0.18570792 0.03253403 125
0.983148654 1.5411905 0.18570792 0.03309167 125
0.983422358 1.5411905 0.18570792 0.03308246 125
0.98314406 1.5411905 0.18570792 0.03309182 125
0.983148654 1.5411905 0.18570792 0.03309167 125
0.983143982 1.5411905 0.18570792 0.03309183 125
0.98314406 1.5411905 0.18570792 0.03309182 125
0.983143981 1.5411905 0.18570792 0.03309183 125
0.983143982 1.5411905 0.18570792 0.03309183 125
0.983143981 1.5411905 0.18570792 0.03309183 125
0.983143981 1.5411905 0.18570792 0.03309183 125
0.983143981 1.5411905 0.18570792 0.03309183 125
0.983143981 1.5411905 0.18570792 0.03309183 125
0.983143981 1.5411905 0.18570792 0.03309183 125
1.5411905
0.0001 1.5411905 0.16342297 286.299465 110
1 1.5411905 0.16342297 0.02862995 110
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80905387037 1.5411905 0.16342297 3.5387E-13 110
0.985376269 1.5411905 0.16342297 0.02905484 110
1 1.5411905 0.16342297 0.02862995 110
0.985163152 1.5411905 0.16342297 0.02906112 110
0.985376269 1.5411905 0.16342297 0.02905484 110
0.98516 1.5411905 0.16342297 0.02906121 110
0.985163152 1.5411905 0.16342297 0.02906112 1100.985159954 1.5411905 0.16342297 0.02906122 110
0.98516 1.5411905 0.16342297 0.02906121 110
0.985159953 1.5411905 0.16342297 0.02906122 110
0.985159954 1.5411905 0.16342297 0.02906122 110
0.985159953 1.5411905 0.16342297 0.02906122 110
0.985159953 1.5411905 0.16342297 0.02906122 110
0.985159953 1.5411905 0.16342297 0.02906122 110
0.985159953 1.5411905 0.16342297 0.02906122 110
0.985159953 1.5411905 0.16342297 0.02906122 110
0.985159953 1.5411905 0.16342297 0.02906122 110
1.5411905 0
0.0001 1.5411905 0.14113802 247.258629 95
1 1.5411905 0.14113802 0.02472586 95
38871569482 1.5411905 0.14113802 6.3609E-13 95
0.987339836 1.5411905 0.14113802 0.02504291 95
1 1.5411905 0.14113802 0.02472586 95
0.987180016 1.5411905 0.14113802 0.02504696 95
0.987339836 1.5411905 0.14113802 0.02504291 95
0.987177973 1.5411905 0.14113802 0.02504702 95
0.987180016 1.5411905 0.14113802 0.02504696 95
0.987177947 1.5411905 0.14113802 0.02504702 950.987177973 1.5411905 0.14113802 0.02504702 95
0.987177947 1.5411905 0.14113802 0.02504702 95
0.987177947 1.5411905 0.14113802 0.02504702 95
0.987177947 1.5411905 0.14113802 0.02504702 95
0.987177947 1.5411905 0.14113802 0.02504702 95
0.987177947 1.5411905 0.14113802 0.02504702 95
0.987177947 1.5411905 0.14113802 0.02504702 95
0.987177947 1.5411905 0.14113802 0.02504702 95
0.987177947 1.5411905 0.14113802 0.02504702 95
0.987177947 1.5411905 0 0
0.987177947 1.5411905 0.11885307 0.02109222 80
1 1.5411905 0.11885307 0.02082178 80
0.989176058 1.5411905 0.11885307 0.02104962 80
0.98931306 1.5411905 0.11885307 0.0210467 80
0.989197638 1.5411905 0.11885307 0.02104916 80
0.989199115 1.5411905 0.11885307 0.02104913 80
0.989197871 1.5411905 0.11885307 0.02104915 80
0.989197887 1.5411905 0.11885307 0.02104915 80
0.989197873 1.5411905 0.11885307 0.02104915 80
7/31/2019 Ejercicio Gas Shale
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0.989197874 1.5411905 0.11885307 0.02104915 80
0.989197873 1.5411905 0.11885307 0.02104915 80
0.989197874 1.5411905 0.11885307 0.02104915 80
0.989197873 1.5411905 0.11885307 0.02104915 80
0.989197873 1.5411905 0.11885307 0.02104915 80
0.989197873 1.5411905 0.11885307 0.02104915 80
0.989197873 1.5411905 0.11885307 0.02104915 800.989197873 1.5411905 0 0
0.989197873 1.5411905 0.09656812 0.01710244 65
1 1.5411905 0.09656812 0.0169177 65
0.991201891 1.5411905 0.09656812 0.01706786 65
0.99129594 1.5411905 0.09656812 0.01706624 65
0.991219492 1.5411905 0.09656812 0.01706756 65
0.991220317 1.5411905 0.09656812 0.01706754 65
0.991219647 1.5411905 0.09656812 0.01706755 65
0.991219654 1.5411905 0.09656812 0.01706755 65
0.991219648 1.5411905 0.09656812 0.01706755 65
0.991219648 1.5411905 0.09656812 0.01706755 65
0.991219648 1.5411905 0.09656812 0.01706755 65
0.991219648 1.5411905 0.09656812 0.01706755 65
0.991219648 1.5411905 0.09656812 0.01706755 65
0.991219648 1.5411905 0.09656812 0.01706755 65
0.991219648 1.5411905 0.09656812 0.01706755 65
0.991219648 1.5411905 0.09656812 0.01706755 65
0.991219648 1.5411905 0 0
0.991219648 1.5411905 0.07428317 0.01312889 50
1 1.5411905 0.07428317 0.01301361 50
0.993229503 1.5411905 0.07428317 0.01310232 500.993288475 1.5411905 0.07428317 0.01310154 50
0.993243093 1.5411905 0.07428317 0.01310214 50
0.993243491 1.5411905 0.07428317 0.01310214 50
0.993243185 1.5411905 0.07428317 0.01310214 50
0.993243188 1.5411905 0.07428317 0.01310214 50
0.993243186 1.5411905 0.07428317 0.01310214 50
0.993243186 1.5411905 0.07428317 0.01310214 50
0.993243186 1.5411905 0.07428317 0.01310214 50
0.993243186 1.5411905 0.07428317 0.01310214 50
0.993243186 1.5411905 0.07428317 0.01310214 50
0.993243186 1.5411905 0.07428317 0.01310214 50
0.993243186 1.5411905 0.07428317 0.01310214 50
0.993243186 1.5411905 0.07428317 0.01310214 50
0.993243186 1.5411905 0
0.993243186 1.5411905 0.05199822 0.0091715 35
1 1.5411905 0.05199822 0.00910953 35
0.995258811 1.5411905 0.05199822 0.00915292 35
0.995290667 1.5411905 0.05199822 0.00915263 35
0.995268359 1.5411905 0.05199822 0.00915284 35
7/31/2019 Ejercicio Gas Shale
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0.99526851 1.5411905 0.05199822 0.00915283 35
0.995268404 1.5411905 0.05199822 0.00915284 35
0.995268405 1.5411905 0.05199822 0.00915284 35
0.995268404 1.5411905 0.05199822 0.00915284 35
0.995268404 1.5411905 0.05199822 0.00915284 35
0.995268404 1.5411905 0.05199822 0.00915284 35
0.995268404 1.5411905 0.05199822 0.00915284 350.995268404 1.5411905 0.05199822 0.00915284 35
0.995268404 1.5411905 0.05199822 0.00915284 35
0.995268404 1.5411905 0.05199822 0.00915284 35
0.995268404 1.5411905 0.05199822 0.00915284 35
0.995268404 1.5411905 0 0
0.995268404 1.5411905 0.02971327 0.00523019 20
1 1.5411905 0.02971327 0.00520544 20
0.997289732 1.5411905 0.02971327 0.00521959 20
0.997302515 1.5411905 0.02971327 0.00521952 20
0.997295208 1.5411905 0.02971327 0.00521956 20
0.997295243 1.5411905 0.02971327 0.00521956 20
0.997295223 1.5411905 0.02971327 0.00521956 20
0.997295223 1.5411905 0.02971327 0.00521956 20
0.997295223 1.5411905 0.02971327 0.00521956 20
0.997295223 1.5411905 0.02971327 0.00521956 20
0.997295223 1.5411905 0.02971327 0.00521956 20
0.997295223 1.5411905 0.02971327 0.00521956 20
0.997295223 1.5411905 0.02971327 0.00521956 20
0.997295223 1.5411905 0.02971327 0.00521956 20
0.997295223 1.5411905 0.02971327 0.00521956 20
0.997295223 1.5411905 0.02971327 0.00521956 200.997295223 1.5411905 0.02971327 0.00521956 20
0.997295223 1.5411905 0 0
0.997295223 1.5411905 0.02183925 0.00383638 14.7
1 1.5411905 0.02183925 0.003826 14.7
0.998010308 1.5411905 0.02183925 0.00383363 14.7
0.998015677 1.5411905 0.02183925 0.00383361 14.7
0.99801173 1.5411905 0.02183925 0.00383362 14.7
0.998011741 1.5411905 0.02183925 0.00383362 14.7
0.998011733 1.5411905 0.02183925 0.00383362 14.7
0.998011733 1.5411905 0.02183925 0.00383362 14.7
0.998011733 1.5411905 0 0
0.998011733 1.5411905 0.54167286 0.09508431 364.6
1 1.5411905 0.54167286 0.09489526 364.6
0.953434246 1.5411905 0.54167286 0.09952995 364.6
0.953521147 1.5411905 0.54167286 0.09952088 364.6
0.951397299 1.5411905 0.54167286 0.09974304 364.6
0.951401443 1.5411905 0.54167286 0.09974261 364.6
0.951299977 1.5411905 0.54167286 0.09975324 364.6
0.951300175 1.5411905 0.54167286 0.09975322 364.6
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0.951295317 1.5411905 0.54167286 0.09975373 364.6
0.951295326 1.5411905 0.54167286 0.09975373 364.6
0.951295094 1.5411905 0.54167286 0.09975376 364.6
0.951295094 1.5411905 0.54167286 0.09975376 364.6
7/31/2019 Ejercicio Gas Shale
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Swavg Z Z* P/Z* Vbc Gp VE
1 0.93631 2.32E-02 2.1E+04 4.38E+02 0.00E+00 13.79
1 0.98314 1.05E-02 1.2E+04 4.38E+02 7.30E+02 7.95
1.003966789 0.98516 9.94E-03 1.1E+04 4.38E+02 9.62E+02 7.37
1.004128201 0.98718 9.40E-03 1.0E+04 4.38E+02 1.23E+03 6.73
1.004289649 0.98920 8.86E-03 9.0E+03 4.38E+02 1.55E+03 6.01
1.004451134 0.99122 8.33E-03 7.8E+03 4.38E+02 1.93E+03 5.20
1.004612655 0.99324 7.79E-03 6.4E+03 4.38E+02 2.38E+03 4.28
1.004774213 0.99527 7.25E-03 4.8E+03 4.38E+02 2.91E+03 3.21
1.004935807 0.99730 6.72E-03 3.0E+03 4.38E+02 3.54E+03 1.98
1.004992913 0.99801 6.53E-03 2.3E+03 4.38E+02 3.99E+03 1.50
Calculo de gas original in situ hacemos una regrecion logaritmica para enco
GP A G en MMSCFT
2.37E+02 0.654904 361.5355171 P psia= 3.21E+02
Graficar Vbc VsVba y trasar una linea de tendencia que paseel punto en que se crusan estas lineas es el Gpi en ese
luego con este valor calcular el G inicial
Calcular Swavg para cada valor de Vba
Carcular Z y Z*Graficar P/Z* vs Gp y Obtener la pend
con la pendiente obtenida calcule Vbc
7/31/2019 Ejercicio Gas Shale
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CE Pi/Zi*
3.64E-02 2.1E+04
2.10E-02 2.1E+04
1.95E-02 2.1E+04
1.78E-02 2.1E+04
1.59E-02 2.1E+04
1.37E-02 2.1E+04
1.13E-02 2.1E+04
8.49E-03 2.1E+04
5.24E-03 2.1E+04
3.96E-03 2.1E+04
rtrar la P de GP Z Z* CE VE
0.95129509 0.01750133 0.03227176 1.22E+01
por el origenomento
iente
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y = -0.2916x + 4195.4
0.00E+00
5.00E+02
1.00E+03
1.50E+03
2.00E+03
2.50E+03
0.0E+00 2.0E+03 4.0E+03 6.0E+03 8.0E+03 1.0E+04 1.2E+04 1.4E+04
Gp
P/Z*
P/Z* Vs Gp
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y = 1.8489x
0.00E+00
1.00E+02
2.00E+02
3.00E+02
4.00E+02
5.00E+02
6.00E+02
7.00E+02
0 50 100 150 200 250 300 350
volumenmasicocalculadoMMCFT
volumen masico asumido MMCFT
Vbc Vs Vba
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y = 0.0242x + 3.2006
0.00
2.00
4.00
6.00
8.00
10.00
12.00
14.00
16.00
0 100 200 300 400 500 600
VESCF/CFT
Presion (psia)
VE Vs Presion
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y = -607.9ln(x) + 3745.6
-2.00E+02
0.00E+00
2.00E+02
4.00E+02
6.00E+02
8.00E+02
1.00E+03
1.20E+03
0 100 200 300 400 500 600
GasproducidoGp
Presion psia
Gp Vs Presion
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los resultados con el metodo iterativo y el simulador son proporcionados por el paper
Metodo utilisado
Metodo Iterativo
Simulador
G inicial en MMCFT
361.5355171
356
387