ejercicio gas shale

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  • 7/31/2019 Ejercicio Gas Shale

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    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

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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

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    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

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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

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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

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  • 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

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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