Metodo Aproximacion de Pseudopresion
27
Incremento 500 M sg 0.78 Ppc T 281 741 Tpc F R a b c d P Ppr z Densidad 0 0 1 500 0.75323 0.963 0.0236 2 1000 1.50647 0.933 0.0488 3 1500 2.25970 0.910 0.0750 4 2000 3.01294 0.898 0.1015 5 2500 3.76617 0.896 0.1271 6 3000 4.51941 0.904 0.1511 7 3500 5.27264 0.922 0.1730 8 4000 6.02588 0.946 0.1925 9 4500 6.77911 0.977 0.2099 10 5000 7.53234 1.011 0.2253 11 5500 8.28558 1.047 0.2392 Para x 5.0566002780027 T=R y 1.38867994439946 k 144.07175125479 Spesific gravit 0.78 Temperature 138.33 411.48 Pressure 5.000E+02 Psia Method used (1, 3 Compressebility 0.9633 Method 3 (Standing's correlation) Pseudo critical temperature TPc (oil field units) 410.219 oR TPc (SI units) 227.566 K Pseudo critical pressure PPc (oil field units) 663.80 psia PPc (SI units) 4.6E+6 Pa o C
description
34567890
Transcript of Metodo Aproximacion de Pseudopresion
Incremento 500 Msg 0.78 PpcT 281 741 Tpc
F Ra b c d
P Ppr z Densidad0 01 500 0.75323 0.963 0.02362 1000 1.50647 0.933 0.04883 1500 2.25970 0.910 0.07504 2000 3.01294 0.898 0.10155 2500 3.76617 0.896 0.12716 3000 4.51941 0.904 0.15117 3500 5.27264 0.922 0.17308 4000 6.02588 0.946 0.19259 4500 6.77911 0.977 0.2099
10 5000 7.53234 1.011 0.225311 5500 8.28558 1.047 0.2392
Parax 5.0566002780027 T=Ry 1.38867994439946k 144.07175125479
Spesific gravity 0.78
Temperature 138.33 411.48
Pressure 5.000E+02 Psia
Method used (1, 2 3
Compressebility 0.9633
Method 3 (Standing's correlation)
Pseudo critical temperature
TPc (oil field units) 410.219 oR
TPc (SI units) 227.566 K
Pseudo critical pressure
PPc (oil field units) 663.80 psia
PPc (SI units) 4.6E+6 Pa
oC
Pseudo reduced properties
TPR 1.808
PPR 0.753234
Hall-Yarborought 0.553
a 0.027
0.01
Continue until f(y) < 1x10^(-5)
Iteration 1
f(y) -10.3E-3
Derivated of f(y), df(y) 0.964
0.02073195
Compressebility factor, z 0.9723
Iteration 2
f(y) -181.2E-6
Derivated of f(y), df(y) 0.931
0.02092657
Compressebility factor, z 0.9633
Iteration 3
fy -52.3E-9
Derivated of f(y), df(y) 0.931
0.021
Compressebility factor, z 0.9633
Iteration 4
f(y) -4.4E-15
Derivated of f(y), df(y) 0.931
0.021
Compressebility factor, z 0.9633
Iteration 5
Reduced-density parameter, y0
Newton Rapson: Reduced- density parameter, y1
Newton Rapson: Reduced-density parameter y2
Newton Rapson: Reduced-desity parameter y3
Newton Rapson: Reduced-density parameter y4
prTt 1
pcpr p
pP
pcpr T
TT
y
pZ pr
f(y) 2.3E-18
Derivated of f(y), df(y) 0.931
0.021
Compressebility factor, z 0.9633
Spesific gravity 0.78
Temperature 138.33 411.48
Pressure 3.500E+03 Psia
Method used (1, 2 3
Compressebility 0.9217
Method 3 (Standing's correlation)
Pseudo critical temperature
TPc (oil field units) 410.219 oR
TPc (SI units) 227.566 K
Pseudo critical pressure
PPc (oil field units) 663.80 psia
PPc (SI units) 4.6E+6 Pa
Pseudo reduced properties
TPR 1.808
PPR 5.272641
Hall-Yarborought 0.55304
a 0.02676
0.01
Continue until f(y) < 1x10^(-5)
Iteration 1
f(y) -131.3E-3
Derivated of f(y), df(y) 0.964
146.2E-3
Compressebility factor, z 0.9650
Iteration 2
f(y) -7.4E-3
Newton Rapson: Reduced-density parameter y4
oC
Reduced-density parameter, y0
Newton Rapson: Reduced- density parameter, y1
prTt 1
pcpr p
pP
pcpr T
TT
y
pZ pr
Derivated of f(y), df(y) 1.057
153.2E-3
Compressebility factor, z 0.9209
Iteration 3
fy 152.2E-6
Derivated of f(y), df(y) 1.102
0.153
Compressebility factor, z 0.9217
Iteration 4
f(y) 64.2E-9
Derivated of f(y), df(y) 1.101
0.153
Compressebility factor, z 0.9217
Iteration 5f(y) 11.3E-15
Derivated of f(y), df(y) 1.101
0.153
Compressebility factor, z 0.9217
Newton Rapson: Reduced-density parameter y2
Newton Rapson: Reduced-desity parameter y3
Newton Rapson: Reduced-density parameter y4
Newton Rapson: Reduced-density parameter y4
22.5966 Maire 28.97663.80396 psi Ppr410.21932 R Tpr
e f g
Viscosidad 2p/uZ ((2p/uZ)/2)/(10^6)0 0
0.0148 70074.623 35037.3110.0156 137881.880 103978.2510.0166 199110.560 168496.2200.0178 250477.529 224794.0450.0192 290388.894 270433.2120.0208 319222.704 304805.7990.0224 338761.132 328991.9180.0241 351246.274 345003.7030.0257 358703.441 354974.8580.0273 362693.895 360698.6680.0288 364329.212 363511.553
densidad y viscosidad
Spesific gravity 0.78
K Temperature 138.33
Pressure 1.000E+03
Method used (1, 2 or 3 3
Compressebility facto 0.9328
Method 3 (Standing's correlation)
Pseudo critical temperature
TPc (oil field units)
TPc (SI units)
Pseudo critical pressure
PPc (oil field units)
PPc (SI units)
Pseudo reduced properties
TPR
PPR
Hall-Yarborought
a
Continue until f(y) < 1x10^(-5)
Iteration 1
f(y)
Derivated of f(y), df(y)
Compressebility factor, z
Iteration 2
f(y)
Derivated of f(y), df(y)
Compressebility factor, z
Iteration 3
fy
Derivated of f(y), df(y)
Compressebility factor, z
Iteration 4
f(y)
Derivated of f(y), df(y)
Compressebility factor, z
Iteration 5
Reduced-density parameter, y0
Newton Rapson: Reduced- density parameter, y1
Newton Rapson: Reduced-density parameter y2
Newton Rapson: Reduced-desity parameter y3
Newton Rapson: Reduced-density parameter y4
prTt 1
pcpr p
pP
pcpr T
TT
f(y)
Derivated of f(y), df(y)
Compressebility factor, z
Spesific gravity 0.78
K Temperature 138.33
Pressure 4.000E+03
Method used (1, 2 or 3 3
Compressebility facto 0.9464
Method 3 (Standing's correlation)
Pseudo critical temperature
TPc (oil field units)
TPc (SI units)
Pseudo critical pressure
PPc (oil field units)
PPc (SI units)
Pseudo reduced properties
TPR
PPR
Hall-Yarborought
a
Continue until f(y) < 1x10^(-5)
Iteration 1
f(y)
Derivated of f(y), df(y)
Compressebility factor, z
Iteration 2
f(y)
Newton Rapson: Reduced-density parameter y4
Reduced-density parameter, y0
Newton Rapson: Reduced- density parameter, y1
prTt 1
pcpr p
pP
pcpr T
TT
Derivated of f(y), df(y)
Compressebility factor, z
Iteration 3
fy
Derivated of f(y), df(y)
Compressebility factor, z
Iteration 4
f(y)
Derivated of f(y), df(y)
Compressebility factor, z
Iteration 5f(y)
Derivated of f(y), df(y)
Compressebility factor, z
Newton Rapson: Reduced-density parameter y2
Newton Rapson: Reduced-desity parameter y3
Newton Rapson: Reduced-density parameter y4
Newton Rapson: Reduced-density parameter y4
1.80635080766064
h i
((2p/uZ)*(DeltaP))/10^6 m(p)=sumator(2p/uZ)+DiferenciaP0 0
17.519 17.51951.989 69.50884.248 153.756
112.397 266.153135.217 401.370152.403 553.772164.496 718.268172.502 890.770177.487 1068.258180.349 1248.607181.756 1430.363
411.48
Psia
Method 3 (Standing's correlation)
Pseudo critical temperature
410.219 oR
227.566 K
663.80 psia
4.6E+6 Pa
oC
Pseudo reduced properties
1.808
1.506469
0.553
0.027
0.01
Continue until f(y) < 1x10^(-5)
-30.5E-3
0.964
41.6E-3
0.9680
-1.4E-3
0.885
43.2E-3
0.9328
-2.0E-6
0.882
0.043
0.9328
-4.2E-12
0.882
0.043
0.9328
prTt 1
pcpr p
pP
pcpr T
TT
y
pZ pr
-11.5E-18
0.882
0.043
0.9328
411.48
Psia
Method 3 (Standing's correlation)
Pseudo critical temperature
410.219 oR
227.566 K
663.80 psia
4.6E+6 Pa
Pseudo reduced properties
1.808
6.025875
0.55304
0.02676
0.01
Continue until f(y) < 1x10^(-5)
-151.4E-3
0.964
167.1E-3
0.9649
-4.0E-3
oC
prTt 1
pcpr p
pP
pcpr T
TT
y
pZ pr
prTt 1
pcpr p
pP
pcpr T
TT
y
pZ pr
1.207
170.4E-3
0.9462
47.0E-6
1.236
0.170
0.9464
6.4E-9
1.236
0.170
0.9464
79.8E-18
1.236
0.170
0.9464
*10^6*10^6*10^6*10^6*10^6*10^6*10^6*10^6*10^6*10^6*10^6
Spesific gravi 0.78 Spesific gravi 0.78
K Temperature 138.33 411.48 K Temperature 138.33
Pressure 1.500E+03 Psia Pressure 2.000E+03
Method used ( 3 Method used ( 3
Compressebili 0.9104 Compressebili 0.8977
Method 3 (Standing's correlation) Method 3 (Standing's correlation)
Pseudo critical temperature Pseudo critical temperature
TPc (oil field 410.219 oR TPc (oil field
TPc (SI units) 227.566 K TPc (SI units)
Pseudo critical pressure Pseudo critical pressure
PPc (oil field 663.80 psia PPc (oil field
PPc (SI units) 4.6E+6 Pa PPc (SI units)
oC
0 1000 2000 3000 4000 5000 60000
200
400
600
800
1000
1200
1400
1600
P vs m(p)
P vs m(p)
P
m(p
)
Pseudo reduced properties Pseudo reduced properties
TPR 1.808 TPR
PPR 2.259703 PPR
Hall-Yarborough Hall-Yarborought 0.55304 t
a 0.02676 a
0.01
Continue until f(y) < 1x10^(-5) Continue until f(y) < 1x10^(-5)
Iteration 1 Iteration 1
f(y) -50.7E-3 f(y)
Derivated of f( 0.964 Derivated of f(
62.6E-3
Compressebilit 0.9666 Compressebilit
Iteration 2 Iteration 2
f(y) -3.3E-3 f(y)
Derivated of f( 0.862 Derivated of f(
66.4E-3
Compressebilit 0.9104 Compressebilit
Iteration 3 Iteration 3
fy -3.4E-6 fy
Derivated of f( 0.860 Derivated of f(
0.066
Compressebilit 0.9104 Compressebilit
Iteration 4 Iteration 4
f(y) -2.4E-12 f(y)
Derivated of f( 0.860 Derivated of f(
0.066
Compressebilit 0.9104 Compressebilit
Iteration 5 Iteration 5
Reduced-density parameter, y0 Reduced-density parameter, y0
Newton Rapson: Reduced- density parameter, y1 Newton Rapson: Reduced- density parameter, y1
Newton Rapson: Reduced-density parameter y2 Newton Rapson: Reduced-density parameter y2
Newton Rapson: Reduced-desity parameter y3 Newton Rapson: Reduced-desity parameter y3
Newton Rapson: Reduced-density parameter y4 Newton Rapson: Reduced-density parameter y4
prTt 1
pcpr p
pP
pcpr T
TT
prTt 1
pcpr p
pP
pcpr T
TT
y
pZ pr
f(y) 4.1E-18 f(y)
Derivated of f( 0.860 Derivated of f(
0.066
Compressebili 0.9104 Compressebili
Spesific gravi 0.78 Spesific gravi 0.78
K Temperature 138.33 411.48 K Temperature 138.33
Pressure 4.500E+03 Psia Pressure 5.000E+03
Method used ( 3 Method used ( 3
Compressebili 0.9765 Compressebili 1.0106
Method 3 (Standing's correlation) Method 3 (Standing's correlation)
Pseudo critical temperature Pseudo critical temperature
TPc (oil field 410.219 oR TPc (oil field
TPc (SI units) 227.566 K TPc (SI units)
Pseudo critical pressure Pseudo critical pressure
PPc (oil field 663.80 psia PPc (oil field
PPc (SI units) 4.6E+6 Pa PPc (SI units)
Pseudo reduced properties Pseudo reduced properties
TPR 1.808 TPR
PPR 6.779110 PPR
Hall-Yarborough Hall-Yarborought 0.55304 t
a 0.02676 a
0.01
Continue until f(y) < 1x10^(-5) Continue until f(y) < 1x10^(-5)
Iteration 1 Iteration 1
f(y) -171.6E-3 f(y)
Derivated of f( 0.964 Derivated of f(
188.1E-3
Compressebilit 0.9648 Compressebilit
Iteration 2 Iteration 2
f(y) 3.2E-3 f(y)
Newton Rapson: Reduced-density parameter y4 Newton Rapson: Reduced-density parameter y4
oC
Reduced-density parameter, y0 Reduced-density parameter, y0
Newton Rapson: Reduced- density parameter, y1 Newton Rapson: Reduced- density parameter, y1
prTt 1
pcpr p
pP
pcpr T
TT
prTt 1
pcpr p
pP
pcpr T
TT
prTt 1
pcpr p
pP
pcpr T
TT
y
pZ pr
prTt 1
pcpr p
pP
pcpr T
TT
y
pZ pr
prTt 1
pcpr p
pP
pcpr T
TT
y
pZ pr
prTt 1
pcpr p
pP
pcpr T
TT
y
pZ pr
Derivated of f( 1.416 Derivated of f(
185.8E-3
Compressebilit 0.9764 Compressebilit
Iteration 3 Iteration 3
fy 29.1E-6 fy
Derivated of f( 1.391 Derivated of f(
0.186
Compressebilit 0.9765 Compressebilit
Iteration 4 Iteration 4
f(y) 2.5E-9 f(y)
Derivated of f( 1.390 Derivated of f(
0.186
Compressebilit 0.9765 Compressebilit
Iteration 5 Iteration 5f(y) 138.8E-18 f(y)
Derivated of f( 1.390 Derivated of f(
0.186
Compressebili 0.9765 Compressebili
Newton Rapson: Reduced-density parameter y2 Newton Rapson: Reduced-density parameter y2
Newton Rapson: Reduced-desity parameter y3 Newton Rapson: Reduced-desity parameter y3
Newton Rapson: Reduced-density parameter y4 Newton Rapson: Reduced-density parameter y4
Newton Rapson: Reduced-density parameter y4 Newton Rapson: Reduced-density parameter y4
Spesific gravi 0.78
411.48 K Temperature 138.33 411.48 K
Psia Pressure 2.500E+03 Psia
Method used ( 3
Compressebili 0.8958
Method 3 (Standing's correlation) Method 3 (Standing's correlation)
Pseudo critical temperature Pseudo critical temperature
410.219 oR TPc (oil field 410.219 oR
227.566 K TPc (SI units) 227.566 K
Pseudo critical pressure Pseudo critical pressure
663.80 psia PPc (oil field 663.80 psia
4.6E+6 Pa PPc (SI units) 4.6E+6 Pa
oC oC
Pseudo reduced properties Pseudo reduced properties
1.808 TPR 1.808
3.012938 PPR 3.766172
Hall-Yarborough Hall-Yarborough0.55304 t 0.55304
0.02676 a 0.02676
0.01 0.01
Continue until f(y) < 1x10^(-5) Continue until f(y) < 1x10^(-5)
Iteration 1
-70.8E-3 f(y) -91.0E-3
0.964 Derivated of f( 0.964
83.5E-3 104.4E-3
0.9659 Compressebilit 0.9655
Iteration 2
-5.5E-3 f(y) -7.3E-3
0.863 Derivated of f( 0.893
89.8E-3 112.6E-3
0.8975 Compressebilit 0.8951
Iteration 3
17.4E-6 fy 79.8E-6
0.869 Derivated of f( 0.913
0.090 0.113
0.8977 Compressebilit 0.8958
Iteration 4
226.5E-12 f(y) 10.7E-9
0.869 Derivated of f( 0.913
0.090 0.113
0.8977 Compressebilit 0.8958
Iteration 5
Reduced-density parameter, y0
Newton Rapson: Reduced- density parameter, y1
Newton Rapson: Reduced-density parameter y2
Newton Rapson: Reduced-desity parameter y3
Newton Rapson: Reduced-density parameter y4
prTt 1
pcpr p
pP
pcpr T
TT
y
pZ pr
prTt 1
pcpr p
pP
pcpr T
TT
y
pZ pr
21.7E-18 f(y) 276.7E-18
0.869 Derivated of f( 0.913
0.090 0.113
0.8977 Compressebili 0.8958
Spesific gravi 0.78
411.48 K Temperature 138.33 411.48 K
Psia Pressure 5.500E+03 Psia
Method used ( 3
Compressebili 1.0475
Method 3 (Standing's correlation) Method 3 (Standing's correlation)
Pseudo critical temperature Pseudo critical temperature
410.219 oR TPc (oil field 410.219 oR
227.566 K TPc (SI units) 227.566 K
Pseudo critical pressure Pseudo critical pressure
663.80 psia PPc (oil field 663.80 psia
4.6E+6 Pa PPc (SI units) 4.6E+6 Pa
Pseudo reduced properties Pseudo reduced properties
1.808 TPR 1.808
7.532344 PPR 8.285579
Hall-Yarborough Hall-Yarborough0.55304 t 0.55304
0.02676 a 0.02676
0.01 0.01
Continue until f(y) < 1x10^(-5) Continue until f(y) < 1x10^(-5)
Iteration 1
-191.8E-3 f(y) -211.9E-3
0.964 Derivated of f( 0.964
209.0E-3 229.9E-3
0.9647 Compressebilit 0.9646
Iteration 2
15.5E-3 f(y) 34.6E-3
Newton Rapson: Reduced-density parameter y4
oC oC
Reduced-density parameter, y0
Newton Rapson: Reduced- density parameter, y1
prTt 1
pcpr p
pP
pcpr T
TT
y
pZ pr
prTt 1
pcpr p
pP
pcpr T
TT
y
pZ pr
prTt 1
pcpr p
pP
pcpr T
TT
y
pZ pr
prTt 1
pcpr p
pP
pcpr T
TT
y
pZ pr
prTt 1
pcpr p
pP
pcpr T
TT
y
pZ pr
prTt 1
pcpr p
pP
pcpr T
TT
y
pZ pr
prTt 1
pcpr p
pP
pcpr T
TT
y
pZ pr
prTt 1
pcpr p
pP
pcpr T
TT
y
pZ pr
1.700 Derivated of f( 2.076
199.9E-3 213.2E-3
1.0086 Compressebilit 1.0400
Iteration 3
619.8E-6 fy 2.7E-3
1.566 Derivated of f( 1.768
0.199 0.212
1.0106 Compressebilit 1.0474
Iteration 4
1.1E-6 f(y) 18.5E-6
1.561 Derivated of f( 1.743
0.199 0.212
1.0106 Compressebilit 1.0475
Iteration 53.3E-12 f(y) 915.3E-12
1.561 Derivated of f( 1.743
0.199 0.212
1.0106 Compressebili 1.0475
Newton Rapson: Reduced-density parameter y2
Newton Rapson: Reduced-desity parameter y3
Newton Rapson: Reduced-density parameter y4
Newton Rapson: Reduced-density parameter y4
Spesific gravi 0.78
Temperature 138.33 411.48 K
Pressure 3.000E+03 Psia
Method used ( 3
Compressebili 0.9042
Method 3 (Standing's correlation)
Pseudo critical temperature
TPc (oil field 410.219 oR
TPc (SI units) 227.566 K
Pseudo critical pressure
PPc (oil field 663.80 psia
PPc (SI units) 4.6E+6 Pa
oC
Pseudo reduced properties
TPR 1.808
PPR 4.519407
Hall-Yarborought 0.55304
a 0.02676
0.01
Continue until f(y) < 1x10^(-5)
Iteration 1
f(y) -111.1E-3
Derivated of f( 0.964
125.3E-3
Compressebilit 0.9652
Iteration 2
f(y) -8.2E-3
Derivated of f( 0.956
133.9E-3
Compressebilit 0.9032
Iteration 3
fy 152.9E-6
Derivated of f( 0.992
0.134
Compressebilit 0.9042
Iteration 4
f(y) 55.4E-9
Derivated of f( 0.991
0.134
Compressebilit 0.9042
Iteration 5
Reduced-density parameter, y0
Newton Rapson: Reduced- density parameter, y1
Newton Rapson: Reduced-density parameter y2
Newton Rapson: Reduced-desity parameter y3
Newton Rapson: Reduced-density parameter y4
prTt 1
pcpr p
pP
pcpr T
TT
y
pZ pr
f(y) 7.3E-15
Derivated of f( 0.991
0.134
Compressebili 0.9042
Newton Rapson: Reduced-density parameter y4
