examen reserv iii a
DESCRIPTION
reservaTRANSCRIPT
![Page 1: Examen Reserv III A](https://reader034.vdocumento.com/reader034/viewer/2022051403/577c78761a28abe054901ddc/html5/thumbnails/1.jpg)
Datos Para Proyecto de Recuperacion Secundaria
Area = 50000 Sw %Iny. Agua = 1000 BPDSwc = 0.3 % 30Porosidad= 0.18 % 40Kbase = 45 md 50Factor Volum. Bo = 1.37 Bbls/BF 60Factor Volum. Bw = 1.04 Bbls/BF 70Uo = 2.48 cp 80Uw = 0.62 cpAngulo 30Distancia delPozo L= pies Densidad AguaEficiencia Areal Ea 1 Densidad PetEficiencia Vert. Ev 1Sgw = 1.03 grs/ccSGO = 0.8 grs/ccSwc = 0.3 fraccionrelacionviscosidad 0.25Swf = de Grafica 0.52fw= 0.73(Swbt)= de Grafica 0.65fw= 1Eficiencia Desp. Ed 0.50Volumen Poral bt (Bbls) 0Qibt=1/(dfw/dSw)=(Swbt-Swc) 0.35Tiempo al llenado tbt, dias 0.0Inyeccion Acumulativa Wi bt Bbls 0
pie2
![Page 2: Examen Reserv III A](https://reader034.vdocumento.com/reader034/viewer/2022051403/577c78761a28abe054901ddc/html5/thumbnails/2.jpg)
![Page 3: Examen Reserv III A](https://reader034.vdocumento.com/reader034/viewer/2022051403/577c78761a28abe054901ddc/html5/thumbnails/3.jpg)
Kro Krw Kro/Krw Fw Sw2 fw2
0.94 0 #DIV/0! #DIV/0! 0.52 0.730.8 0.04 20.00 0.180 0.55 0.77
0.44 0.11 4.00 0.522 0.6 0.870.16 0.2 0.80 0.847 0.65 0.94
0.045 0.3 0.15 0.968 0.7 0.980 0.44 0.00 1.000 0.75 0.99
64.272 lb/pc49.92 lb/pc
kwu
kuiu
owkoA
f
o
ow
wow
1
)sin)(00694.0(001127.01
![Page 4: Examen Reserv III A](https://reader034.vdocumento.com/reader034/viewer/2022051403/577c78761a28abe054901ddc/html5/thumbnails/4.jpg)
![Page 5: Examen Reserv III A](https://reader034.vdocumento.com/reader034/viewer/2022051403/577c78761a28abe054901ddc/html5/thumbnails/5.jpg)
0
Sw Med dfw/dSw DNp= Vp*(Swmed-Swbt) Np Qi = 1/(dfw/dsw) Wi=Vp*QiBbls
0.65 2.08 0.00 0 0.481 00.675 1.84 0.00 0 0.543 00.685 1.53 0.00 0 0.654 0
0.7 1.20 0.00 0 0.833 00.73 0.67 0.00 0 1.500 00.8 0.20 0.00 0 5.000 0
n
0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 1000.000
0.100
0.200
0.300
0.400
0.500
0.600
0.700
0.800
0.900
1.000f(x) = 2.57400284696661E-007x^4 - 6.19597540863116E-005x^3 + 0.0050162385x^2 - 0.1397736039x + 1.2505602475R² = 0.9969285267
Comportamiento del Flujo Fracional
Fw
Polynomial (Fw)
kwu
kuiu
owkoA
f
o
ow
wow
1
)sin)(00694.0(001127.01
![Page 6: Examen Reserv III A](https://reader034.vdocumento.com/reader034/viewer/2022051403/577c78761a28abe054901ddc/html5/thumbnails/6.jpg)
0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 1000.000
0.100
0.200
0.300
0.400
0.500
0.600
0.700
0.800
0.900
1.000f(x) = 2.57400284696661E-007x^4 - 6.19597540863116E-005x^3 + 0.0050162385x^2 - 0.1397736039x + 1.2505602475R² = 0.9969285267
Comportamiento del Flujo Fracional
Fw
Polynomial (Fw)
![Page 7: Examen Reserv III A](https://reader034.vdocumento.com/reader034/viewer/2022051403/577c78761a28abe054901ddc/html5/thumbnails/7.jpg)
Tiny=Wi/iw WOR Qo BPD Qw BPD
0 3.56 197 7020 4.41 168 7400 8.82 95 8370 20.64 44 9040 64.55 15 9420 130.41 7 952
0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 1000.000
0.100
0.200
0.300
0.400
0.500
0.600
0.700
0.800
0.900
1.000f(x) = 2.57400284696661E-007x^4 - 6.19597540863116E-005x^3 + 0.0050162385x^2 - 0.1397736039x + 1.2505602475R² = 0.9969285267
Comportamiento del Flujo Fracional
Fw
Polynomial (Fw)
![Page 8: Examen Reserv III A](https://reader034.vdocumento.com/reader034/viewer/2022051403/577c78761a28abe054901ddc/html5/thumbnails/8.jpg)
0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 1000.000
0.100
0.200
0.300
0.400
0.500
0.600
0.700
0.800
0.900
1.000f(x) = 2.57400284696661E-007x^4 - 6.19597540863116E-005x^3 + 0.0050162385x^2 - 0.1397736039x + 1.2505602475R² = 0.9969285267
Comportamiento del Flujo Fracional
Fw
Polynomial (Fw)
![Page 9: Examen Reserv III A](https://reader034.vdocumento.com/reader034/viewer/2022051403/577c78761a28abe054901ddc/html5/thumbnails/9.jpg)
Datos Para Proyecto de Recuperacion Secundaria
Area = 50000 Sw % KroIny. Agua = 1000 BPDSwc = 0.2 % 20 0.93Porosidad= 0.18 % 30 0.6Kbase = md 40 0.36Factor Volum. Bo = 1.15 Bbls/BF 50 0.228Factor Volum. Bw = 1.03 Bbls/BF 55 0.172Uo = 1.39 cp 60 0.128Uw = 0.5 cp 70 0.049Angulo 0 80 0.018Distancia delPozo L= 400 pies 85 0Eficiencia Areal Ea 1Eficiencia Vert. Ev 1Swc = 0.2 fraccion
Swf = de Grafica 0.52fw= 0.73(Swbt)= de Grafica 0.65fw= 1Eficiencia Desp. Ed 0.56Volumen Poral bt (Bbls) 250881Qibt=1/(dfw/dSw)=(Swbt-Swc) 0.45Tiempo al llenado tbt, dias 288.5Inyeccion Acumulativa Wi bt Bbls 288513
pie2
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punto de pendientesacada de la grafica
Krw Kro/Krw Fw Sw2 fw2 Sw Med
0 #DIV/0! 0.000 0.52 0.73 0.650.024 25.00 0.138 0.55 0.77 0.6750.045 8.00 0.333 0.6 0.87 0.6850.124 1.84 0.685 0.65 0.94 0.70.068 2.53 0.796 0.7 0.98 0.730.222 0.58 0.874 0.75 0.99 0.8
0.35 0.14 0.9660.512 0.04 0.991
0.6 0.00 1.000
n
0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 1000.000
0.100
0.200
0.300
0.400
0.500
0.600
0.700
0.800
0.900
1.000f(x) = 2.57400284696661E-007x^4 - 6.19597540863116E-005x^3 + 0.0050162385x^2 - 0.1397736039x + 1.2505602475R² = 0.9969285267
Comportamiento del Flujo Fracional
Fw
Polynomial (Fw)
*
*1
1 fw
UoKrw
UwKro
![Page 12: Examen Reserv III A](https://reader034.vdocumento.com/reader034/viewer/2022051403/577c78761a28abe054901ddc/html5/thumbnails/12.jpg)
0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 1000.000
0.100
0.200
0.300
0.400
0.500
0.600
0.700
0.800
0.900
1.000f(x) = 2.57400284696661E-007x^4 - 6.19597540863116E-005x^3 + 0.0050162385x^2 - 0.1397736039x + 1.2505602475R² = 0.9969285267
Comportamiento del Flujo Fracional
Fw
Polynomial (Fw)
![Page 13: Examen Reserv III A](https://reader034.vdocumento.com/reader034/viewer/2022051403/577c78761a28abe054901ddc/html5/thumbnails/13.jpg)
dfw/dSw DNp= Vp*(Swmed-Swbt) Np Qi = 1/(dfw/dsw) Wi=Vp*QiBbls
2.08 0 250881 0.481 3086971.84 16028 266909 0.543 3484461.53 22440 273321 0.654 4192071.20 32057 282938 0.833 5342830.67 51291 302172 1.500 9617100.20 96171 347052 5.000 3205699
0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 1000.000
0.100
0.200
0.300
0.400
0.500
0.600
0.700
0.800
0.900
1.000f(x) = 2.57400284696661E-007x^4 - 6.19597540863116E-005x^3 + 0.0050162385x^2 - 0.1397736039x + 1.2505602475R² = 0.9969285267
Comportamiento del Flujo Fracional
Fw
Polynomial (Fw)
![Page 14: Examen Reserv III A](https://reader034.vdocumento.com/reader034/viewer/2022051403/577c78761a28abe054901ddc/html5/thumbnails/14.jpg)
0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 1000.000
0.100
0.200
0.300
0.400
0.500
0.600
0.700
0.800
0.900
1.000f(x) = 2.57400284696661E-007x^4 - 6.19597540863116E-005x^3 + 0.0050162385x^2 - 0.1397736039x + 1.2505602475R² = 0.9969285267
Comportamiento del Flujo Fracional
Fw
Polynomial (Fw)
![Page 15: Examen Reserv III A](https://reader034.vdocumento.com/reader034/viewer/2022051403/577c78761a28abe054901ddc/html5/thumbnails/15.jpg)
Tiny=Wi/iw WOR Qo BPD Qw BPD
289 3.02 235 709348 3.74 200 748419 7.47 113 845534 17.49 52 913962 54.71 17 951
3206 110.53 9 961
![Page 16: Examen Reserv III A](https://reader034.vdocumento.com/reader034/viewer/2022051403/577c78761a28abe054901ddc/html5/thumbnails/16.jpg)
![Page 17: Examen Reserv III A](https://reader034.vdocumento.com/reader034/viewer/2022051403/577c78761a28abe054901ddc/html5/thumbnails/17.jpg)
Se desea realizar una Recuperacion Secundaria con un arreglo de 5 pozos, asumiendo la eficiencia vertical de barrido al llenado del 100% dada los siguientes valores de permeabilidad y flujo fracional
calcule:1.- El Petroleo Recuperado hasta el llenado2.- Determinar el tiempo de llenado en dias3.- Determine la efeciencia de desplazamiento al llenado4.- Determine el volumen Inyectado de Agua al llenado5.- Determinar los incrementos de produccion para cada etapa de saturacion despues del llenado7.- Determinar la recuperacion en funcion al tiempo8.- Caudales de Petroleo y agua para cada saturacion 9.- Determinar la Relacion de Mobilidad antes del llenado10.- Eficiencia Areal del agua inyectada al llenado 11.- Barriles de Agua Requerida para el llenado de gas 12- la eficiencia areal de barrido cuando el acumulativo del agua inyectada es 1.5 el volumen de agua inyectada al llenado 13.- Barriles de Agua Inyectada al 100% de la eficiencia Areal14.- El barrido areal llegando al borde del banco de petroleo
Datos Requeridos
Area (Acres) 80Espesor H ( pies) 20Porosidad 0.22Swir 0.22Swc 0.32S0 0.56Sg 0.12Uw (cp) 0.6Uo(cp) 4Uw/Uo 6.67Factor Volum. Bo (Bbls/BF) = 1.15Factor Volum. Bw (Bbls/BF) = 1.03Iny. Agua(BPD) = 3000Kbase (md ) =AnguloDist. Al Pozo L(pies)= 1400Eficiencia Areal Ea 5 pz 0.62Eficiencia Vert. EvEficiencia Desp. Edesplazamiento 0.44 (Krg )Sg 0.1Ug 0.02
Swf = de Grafica 0.5fw= 0.78
![Page 18: Examen Reserv III A](https://reader034.vdocumento.com/reader034/viewer/2022051403/577c78761a28abe054901ddc/html5/thumbnails/18.jpg)
(Swbt)= de Grafica 0.561fw= 1Movilidad 1.55
(Krw)swbt= 0.149(Kro)swc= 0.64
para 5 puntos Eabt= 0.63Volumen Poral bt (Bbls) 2730816Qibt=1/(dfw/dSw)=(Swbt-Swc) 0.241Tiempo al llenado tbt, dias 2735Inyeccion Acumulativa Wi bt Bbls 414620Vol. Agua hasta el llenado Bbls a la Sg 327698Eficiencia Areal antes del llenado Eaf 0.50Wi/Wib= 1.5Wi (Bbls) = 621930Eficiencia Areal Despues del Llenado EA 0.73
si EA= 1Ea-Eabt/0.2749 1.35Wi/Wibt= 3.84Wi(Ea=1)Bbls = 1592891Movilidad Gas Pet Mo/g 0.032
Sw Kro Krw0.22 0 10.27 0.004 0.810.32 0.014 0.640.37 0.032 0.4900.42 0.058 0.3600.47 0.09 0.250
swcrow
Swbtrwo
ku
kuM
)(
)(
![Page 19: Examen Reserv III A](https://reader034.vdocumento.com/reader034/viewer/2022051403/577c78761a28abe054901ddc/html5/thumbnails/19.jpg)
0.52 0.13 0.1600.57 0.176 0.0900.62 0.23 0.0400.67 0.291 0.0100.72 0.36 0.000
![Page 20: Examen Reserv III A](https://reader034.vdocumento.com/reader034/viewer/2022051403/577c78761a28abe054901ddc/html5/thumbnails/20.jpg)
Se desea realizar una Recuperacion Secundaria con un arreglo de 5 pozos, asumiendo la eficiencia vertical de barrido al llenado del 100%
5.- Determinar los incrementos de produccion para cada etapa de saturacion despues del llenado
12- la eficiencia areal de barrido cuando el acumulativo del agua inyectada es 1.5 el volumen de agua inyectada al llenado
Sw Krw Kro Kro/Krw0.22 0 10.27 0.004 0.81 202.500.32 0.014 0.64 45.710.37 0.032 0.49 15.310.42 0.058 0.36 6.210.47 0.09 0.25 2.780.52 0.13 0.16 1.230.57 0.176 0.09 0.510.62 0.23 0.04 0.170.67 0.291 0.01 0.030.72 0.36 0 0.00
0.25 0.3 0.35 0.4 0.45 0.5 0.55 0.6 0.65 0.7
0.01
0.10
1.00
10.00
100.00
1000.00
f(x) = 32587.5456036932 exp( -19.9524845432 x )R² = 0.9903414095
Kro/Krw
Kro/Krw
Exponential (Kro/Krw)
*
*1
1 fw
UoKrw
UwKro
![Page 21: Examen Reserv III A](https://reader034.vdocumento.com/reader034/viewer/2022051403/577c78761a28abe054901ddc/html5/thumbnails/21.jpg)
Krw/Kro Fw
202.500 0.00145.714 0.03015.313 0.1306.207 0.3102.778 0.520
0.25 0.3 0.35 0.4 0.45 0.5 0.55 0.6 0.65 0.7
0.01
0.10
1.00
10.00
100.00
1000.00
f(x) = 32587.5456036932 exp( -19.9524845432 x )R² = 0.9903414095
Kro/Krw
Kro/Krw
Exponential (Kro/Krw)
0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5 0.55 0.6 0.65 0.70.000
0.100
0.200
0.300
0.400
0.500
0.600
0.700
0.800
0.900
1.000fw
fw
Polynomial (fw)
![Page 22: Examen Reserv III A](https://reader034.vdocumento.com/reader034/viewer/2022051403/577c78761a28abe054901ddc/html5/thumbnails/22.jpg)
1.231 0.7100.511 0.8400.174 0.9300.034 0.9700.000 1.000
0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5 0.55 0.6 0.65 0.70.000
0.100
0.200
0.300
0.400
0.500
0.600
0.700
0.800
0.900
1.000fw
fw
Polynomial (fw)
![Page 23: Examen Reserv III A](https://reader034.vdocumento.com/reader034/viewer/2022051403/577c78761a28abe054901ddc/html5/thumbnails/23.jpg)
Fw DFw/DSw Sw2 fw2 Sw Med Dfw/Dsw0.5 0.78 0.561 3.61
0.001 0.015 0.55 0.88 0.6 2.400.003 0.065 0.6 0.965 0.64 0.880.010 0.192 0.65 0.985 0.67 0.750.024 0.460 0.7 0.995 0.72 0.250.051 0.9700.109 1.9320.227 3.4990.463 4.9600.814 3.0251.000 0.000
a= 32588b= 19.95
0.25 0.3 0.35 0.4 0.45 0.5 0.55 0.6 0.65 0.7
0.01
0.10
1.00
10.00
100.00
1000.00
f(x) = 32587.5456036932 exp( -19.9524845432 x )R² = 0.9903414095
Kro/Krw
Kro/Krw
Exponential (Kro/Krw)
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.80.00
0.05
0.10
0.15
0.20
0.25
0.30
0.35
0.40
0.45
0.50
0.55
0.60
0.65
0.70
0.75
0.80
0.85
0.90
0.95
1.00
0.000
1.000
2.000
3.000
4.000
5.000
6.000
Fw
Polynomial (Fw)
DFw/DSw
2
*1
)**(
rw
ro
o
w
rw
ro
o
w
w
w
k
k
u
u
bk
k
u
u
s
f
*
*1
1 fw
UoKrw
UwKro
![Page 24: Examen Reserv III A](https://reader034.vdocumento.com/reader034/viewer/2022051403/577c78761a28abe054901ddc/html5/thumbnails/24.jpg)
0.25 0.3 0.35 0.4 0.45 0.5 0.55 0.6 0.65 0.7
0.01
0.10
1.00
10.00
100.00
1000.00
f(x) = 32587.5456036932 exp( -19.9524845432 x )R² = 0.9903414095
Kro/Krw
Kro/Krw
Exponential (Kro/Krw)
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.80.00
0.05
0.10
0.15
0.20
0.25
0.30
0.35
0.40
0.45
0.50
0.55
0.60
0.65
0.70
0.75
0.80
0.85
0.90
0.95
1.00
0.000
1.000
2.000
3.000
4.000
5.000
6.000
Fw
Polynomial (Fw)
DFw/DSw
0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5 0.55 0.6 0.65 0.70.000
0.100
0.200
0.300
0.400
0.500
0.600
0.700
0.800
0.900
1.000fw
fw
Polynomial (fw)
![Page 25: Examen Reserv III A](https://reader034.vdocumento.com/reader034/viewer/2022051403/577c78761a28abe054901ddc/html5/thumbnails/25.jpg)
0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5 0.55 0.6 0.65 0.70.000
0.100
0.200
0.300
0.400
0.500
0.600
0.700
0.800
0.900
1.000fw
fw
Polynomial (fw)
![Page 26: Examen Reserv III A](https://reader034.vdocumento.com/reader034/viewer/2022051403/577c78761a28abe054901ddc/html5/thumbnails/26.jpg)
DNp= Vp*(Swmed-Swbt) Np (Bbls) Qi = 1/(dfw/dsw) Wi=Vp*Qi Tiny=Wi/iw (dias) WOR0 572284 0.28 134850 45
18967 591251 0.42 202643 68 8.1938421 629673 1.14 555821 185 30.7853011 682684 1.33 648457 216 73.3277329 760012 4.00 1945372 648 222.18
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.80.00
0.05
0.10
0.15
0.20
0.25
0.30
0.35
0.40
0.45
0.50
0.55
0.60
0.65
0.70
0.75
0.80
0.85
0.90
0.95
1.00
0.000
1.000
2.000
3.000
4.000
5.000
6.000
Fw
Polynomial (Fw)
DFw/DSw
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.80.500.520.540.560.580.600.620.640.660.680.700.720.740.760.780.800.820.840.860.880.900.920.940.960.981.00
0.000
1.000
2.000
3.000
4.000
5.000
6.000f(x) = - 101.7841348119x^4 + 213.6031750197x^3 - 153.5967384626x^2 + 46.1181447163x - 4.9310647125
Fw
Polynomial (Fw)
Polynomial (Fw)
DFw/DSw
![Page 27: Examen Reserv III A](https://reader034.vdocumento.com/reader034/viewer/2022051403/577c78761a28abe054901ddc/html5/thumbnails/27.jpg)
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.80.00
0.05
0.10
0.15
0.20
0.25
0.30
0.35
0.40
0.45
0.50
0.55
0.60
0.65
0.70
0.75
0.80
0.85
0.90
0.95
1.00
0.000
1.000
2.000
3.000
4.000
5.000
6.000
Fw
Polynomial (Fw)
DFw/DSw
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.80.500.520.540.560.580.600.620.640.660.680.700.720.740.760.780.800.820.840.860.880.900.920.940.960.981.00
0.000
1.000
2.000
3.000
4.000
5.000
6.000f(x) = - 101.7841348119x^4 + 213.6031750197x^3 - 153.5967384626x^2 + 46.1181447163x - 4.9310647125
Fw
Polynomial (Fw)
Polynomial (Fw)
DFw/DSw
0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5 0.55 0.6 0.65 0.70.000
0.100
0.200
0.300
0.400
0.500
0.600
0.700
0.800
0.900
1.000fw
fw
Polynomial (fw)
![Page 28: Examen Reserv III A](https://reader034.vdocumento.com/reader034/viewer/2022051403/577c78761a28abe054901ddc/html5/thumbnails/28.jpg)
0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5 0.55 0.6 0.65 0.70.000
0.100
0.200
0.300
0.400
0.500
0.600
0.700
0.800
0.900
1.000fw
fw
Polynomial (fw)
![Page 29: Examen Reserv III A](https://reader034.vdocumento.com/reader034/viewer/2022051403/577c78761a28abe054901ddc/html5/thumbnails/29.jpg)
Qo BPD Qw BPD
313 256391 281139 286913 2898
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.80.500.520.540.560.580.600.620.640.660.680.700.720.740.760.780.800.820.840.860.880.900.920.940.960.981.00
0.000
1.000
2.000
3.000
4.000
5.000
6.000f(x) = - 101.7841348119x^4 + 213.6031750197x^3 - 153.5967384626x^2 + 46.1181447163x - 4.9310647125
Fw
Polynomial (Fw)
Polynomial (Fw)
DFw/DSw
![Page 30: Examen Reserv III A](https://reader034.vdocumento.com/reader034/viewer/2022051403/577c78761a28abe054901ddc/html5/thumbnails/30.jpg)
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.80.500.520.540.560.580.600.620.640.660.680.700.720.740.760.780.800.820.840.860.880.900.920.940.960.981.00
0.000
1.000
2.000
3.000
4.000
5.000
6.000f(x) = - 101.7841348119x^4 + 213.6031750197x^3 - 153.5967384626x^2 + 46.1181447163x - 4.9310647125
Fw
Polynomial (Fw)
Polynomial (Fw)
DFw/DSw
![Page 31: Examen Reserv III A](https://reader034.vdocumento.com/reader034/viewer/2022051403/577c78761a28abe054901ddc/html5/thumbnails/31.jpg)