aproximacion de pseudopresion (autoguardado)

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Page 1: Aproximacion de Pseudopresion (Autoguardado)

Incremento 500 M 22.5966 Maire 28.97 flujo tras flujos ingresar datossg 0.78 Ppc 663.80396 psi PprT 281 741 Tpc 410.21932 R Tpr 1.80635080766064 aca poner el valor dela m(p) a 222962

F R m(P) 1335.849 *10^6 1335849000 b 44.67712a b c d e f g h i Pr 5240 c) IPR

P Ppr z Densidad Viscosidad 2p/uZ ((2p/uZ)/2)/(10^6) ((2p/uZ)*(DeltaP))/10^6 m(p)=sumator(2p/uZ)+DiferenciaP P Qsc Pwf m(p) m(Pr)-m(pwf) ((m(Pr)-m(pwf))/Qsc)/10^6 Pwf m(p) Q

0 0 0 0 0 0 0 0 0 5240 1335.849 0 *10^6 0.0 5240 1335849000 0.00001 500 0.75323 0.963 0.0236 0.0148 70074.623 35037.311 17.519 17.519 *10^6 500 1 1000 4500 1068.258 267.591 *10^6 267591.0 5000 1248607000 364.64302 1000 1.50647 0.933 0.0488 0.0156 137881.880 103978.251 51.989 69.508 *10^6 1000 2 1350 4191 958.57 377.279 *10^6 279465.9 4500 1068258000 999.84593 1500 2.25970 0.910 0.0750 0.0166 199110.560 168496.220 84.248 153.756 *10^6 1500 3 2000 3530 758.618 577.231 *10^6 288615.5 4191 958570000 1335.00014 2000 3.01294 0.898 0.1015 0.0178 250477.529 224794.045 112.397 266.153 *10^6 2000 4 2500 2821 499.212 836.637 *10^6 334654.8 4000 897700000 1508.90485 2500 3.76617 0.896 0.1271 0.0192 290388.894 270433.212 135.217 401.370 *10^6 2500 5 *10^6 3530 728618000 1956.46646 3000 4.51941 0.904 0.1511 0.0208 319222.704 304805.799 152.403 553.772 *10^6 3000 6 *10^6 3500 718268000 1982.41027 3500 5.27264 0.922 0.1730 0.0224 338761.132 328991.918 164.496 718.268 *10^6 3500 7 *10^6 3000 553772000 2376.23018 4000 6.02588 0.946 0.1925 0.0241 351246.274 345003.703 172.502 890.770 *10^6 4000 8 *10^6 2821 499212000 2500.00009 4500 6.77911 0.977 0.2099 0.0257 358703.441 354974.858 177.487 1068.258 *10^6 4500 9 *10^6 2500 401370000 2714.5963

10 5000 7.53234 1.011 0.2253 0.0273 362693.895 360698.668 180.349 1248.607 *10^6 5000 10 *10^6 2000 266153000 2997.384311 5500 8.28558 1.047 0.2392 0.0288 364329.212 363511.553 181.756 1430.363 *10^6 5500 11 *10^6 1500 153756000 3221.8112

1000 69508000 3384.4178B) 500 17519000 3482.5550

Para densidad y viscosidad a 222962 0 0 3515.2638x 5.0566002780027 T=R b 40.654y 1.38867994439946 0 b=deltY/delt #DIV/0! qsc #DIV/0!k 144.07175125479 1 b=deltY/delt 44.63 qsc 3516.37161208

2 b=deltY/delt 41.85 qsc 3582.329447943 b=deltY/delt 32.83 qsc 3830.78455954 b=deltY/delt 44.6771 qsc 3515.26384696 Mpc/d5 b=deltY/delt #VALUE! qsc #VALUE!6 b=deltY/delt #VALUE! qsc #VALUE!7 b=deltY/delt #VALUE! qsc #VALUE!8 b=deltY/delt #VALUE! qsc #VALUE!9 b=deltY/delt #VALUE! qsc #VALUE!

10 b=deltY/delt #VALUE! qsc #VALUE!11 b=deltY/delt #VALUE! qsc #VALUE!

Spesific gravity 0.78 Spesific gravity 0.78 Spesific gravi 0.78 Spesific gravity 0.78 Spesific gravity 0.78 Spesific gravi 0.78

Temperature 138.33 411.48 K Temperature 138.33 411.48 K Temperature 138.33 411.48 K Temperature 138.33 411.48 K Temperature 138.33 411.48 K Temperature 138.33 411.48 K

Pressure 5.000E+02 Psia Pressure 1.000E+03 Psia Pressure 1.500E+03 Psia Pressure 2.000E+03 Psia Pressure 2.500E+03 Psia Pressure 3.000E+03 Psia

Method used (1, 2 3 Method used (1, 2 or 3 3 Method used ( 3 Method used (1, 2 or 3) 3 Method used (1, 2 3 Method used ( 3

Compressebility 0.9633 Compressebility facto 0.9328 Compressebili 0.9104 Compressebility factor, z 0.8977 Compressebility f 0.8958 Compressebili 0.9042

Method 3 (Standing's correlation) Method 3 (Standing's correlation) Method 3 (Standing's correlation) Method 3 (Standing's correlation) Method 3 (Standing's correlation) Method 3 (Standing's correlation)

Pseudo critical temperature Pseudo critical temperature Pseudo critical temperature Pseudo critical temperature Pseudo critical temperature Pseudo critical temperature

TPc (oil field units) 410.219 oR TPc (oil field units) 410.219 oR TPc (oil field 410.219 oR TPc (oil field 410.219 oR TPc (oil field units) 410.219 oR TPc (oil field 410.219 oR

TPc (SI units) 227.566 K TPc (SI units) 227.566 K TPc (SI units) 227.566 K TPc (SI units) 227.566 K TPc (SI units) 227.566 K TPc (SI units) 227.566 K

Pseudo critical pressure Pseudo critical pressure Pseudo critical pressure Pseudo critical pressure Pseudo critical pressure Pseudo critical pressure

PPc (oil field units) 663.80 psia PPc (oil field units) 663.80 psia PPc (oil field 663.80 psia PPc (oil field 663.80 psia PPc (oil field units) 663.80 psia PPc (oil field 663.80 psia

PPc (SI units) 4.6E+6 Pa PPc (SI units) 4.6E+6 Pa PPc (SI units 4.6E+6 Pa PPc (SI units 4.6E+6 Pa PPc (SI units) 4.6E+6 Pa PPc (SI units 4.6E+6 Pa

Pseudo reduced properties Pseudo reduced properties Pseudo reduced properties Pseudo reduced properties Pseudo reduced properties Pseudo reduced properties

TPR 1.808 TPR 1.808 TPR 1.808 TPR 1.808 TPR 1.808 TPR 1.808

PPR 0.753234 PPR 1.506469 PPR 2.259703 PPR 3.012938 PPR 3.766172 PPR 4.519407

Hall-Yarborough Hall-Yarborough Hall-Yarborough Hall-Yarborough Hall-Yarborough Hall-Yarborought 0.553 t 0.553 t 0.55304 t 0.55304 t 0.55304 t 0.55304

a 0.027 a 0.027 a 0.02676 a 0.02676 a 0.02676 a 0.02676

0.01 0.01 0.01 0.01 0.01 0.01

Continue until f(y) < 1x10^(-5) Continue until f(y) < 1x10^(-5) Continue until f(y) < 1x10^(-5) Continue until f(y) < 1x10^(-5) Continue until f(y) < 1x10^(-5) Continue until f(y) < 1x10^(-5)

Iteration 1 Iteration 1 Iteration 1 Iteration 1 Iteration 1 Iteration 1

f(y) -10.3E-3 f(y) -30.5E-3 f(y) -50.7E-3 f(y) -70.8E-3 f(y) -91.0E-3 f(y) -111.1E-3

Derivated of f(y), df(y) 0.964 Derivated of f(y), df(y) 0.964 Derivated of f 0.964 Derivated of f 0.964 Derivated of f(y), df(y) 0.964 Derivated of f 0.964

0.020731955 41.6E-3 62.6E-3 83.5E-3 104.4E-3 125.3E-3

Compressebility factor, z 0.9723 Compressebility factor, z 0.9680 Compressebili 0.9666 Compressebili 0.9659 Compressebility factor, z 0.9655 Compressebili 0.9652

Iteration 2 Iteration 2 Iteration 2 Iteration 2 Iteration 2 Iteration 2

f(y) -181.2E-6 f(y) -1.4E-3 f(y) -3.3E-3 f(y) -5.5E-3 f(y) -7.3E-3 f(y) -8.2E-3

Derivated of f(y), df(y) 0.931 Derivated of f(y), df(y) 0.885 Derivated of f 0.862 Derivated of f 0.863 Derivated of f(y), df(y) 0.893 Derivated of f 0.956

0.020926565 43.2E-3 66.4E-3 89.8E-3 112.6E-3 133.9E-3

Compressebility factor, z 0.9633 Compressebility factor, z 0.9328 Compressebili 0.9104 Compressebili 0.8975 Compressebility factor, z 0.8951 Compressebili 0.9032

Iteration 3 Iteration 3 Iteration 3 Iteration 3 Iteration 3 Iteration 3

fy -52.3E-9 fy -2.0E-6 fy -3.4E-6 fy 17.4E-6 fy 79.8E-6 fy 152.9E-6

Derivated of f(y), df(y) 0.931 Derivated of f(y), df(y) 0.882 Derivated of f 0.860 Derivated of f 0.869 Derivated of f(y), df(y) 0.913 Derivated of f 0.992

0.021 0.043 0.066 0.090 0.113 0.134

Compressebility factor, z 0.9633 Compressebility factor, z 0.9328 Compressebili 0.9104 Compressebili 0.8977 Compressebility factor, z 0.8958 Compressebili 0.9042

Iteration 4 Iteration 4 Iteration 4 Iteration 4 Iteration 4 Iteration 4

f(y) -4.4E-15 f(y) -4.2E-12 f(y) -2.4E-12 f(y) 226.5E-12 f(y) 10.7E-9 f(y) 55.4E-9

Derivated of f(y), df(y) 0.931 Derivated of f(y), df(y) 0.882 Derivated of f 0.860 Derivated of f 0.869 Derivated of f(y), df(y) 0.913 Derivated of f 0.991

0.021 0.043 0.066 0.090 0.113 0.134

Compressebility factor, z 0.9633 Compressebility factor, z 0.9328 Compressebili 0.9104 Compressebili 0.8977 Compressebility factor, z 0.8958 Compressebili 0.9042

Iteration 5 Iteration 5 Iteration 5 Iteration 5 Iteration 5 Iteration 5f(y) 2.3E-18 f(y) -11.5E-18 f(y) 4.1E-18 f(y) 21.7E-18 f(y) 276.7E-18 f(y) 7.3E-15

Derivated of f(y), df(y) 0.931 Derivated of f(y), df(y) 0.882 Derivated of f 0.860 Derivated of f 0.869 Derivated of f(y), df(y) 0.913 Derivated of f 0.991

0.021 0.043 0.066 0.090 0.113 0.134

Compressebility factor, z 0.9633 Compressebility factor, z 0.9328 Compressebili 0.9104 Compressebili 0.8977 Compressebility factor, z 0.8958 Compressebili 0.9042

Spesific gravity 0.78 Spesific gravity 0.78 Spesific gravi 0.78 Spesific gravity 0.78 Spesific gravity 0.78

Temperature 138.33 411.48 K Temperature 138.33 411.48 K Temperature 138.33 411.48 K Temperature 138.33 411.48 K Temperature 138.33 411.48 K

Pressure 3.500E+03 Psia Pressure 4.000E+03 Psia Pressure 4.500E+03 Psia Pressure 5.000E+03 Psia Pressure 5.500E+03 Psia

Method used (1, 2 3 Method used (1, 2 or 3 3 Method used ( 3 Method used (1, 2 or 3) 3 Method used (1, 2 3

Compressebility 0.9217 Compressebility facto 0.9464 Compressebili 0.9765 Compressebility factor, z 1.0106 Compressebility f 1.0475

Method 3 (Standing's correlation) Method 3 (Standing's correlation) Method 3 (Standing's correlation) Method 3 (Standing's correlation) Method 3 (Standing's correlation)

Pseudo critical temperature Pseudo critical temperature Pseudo critical temperature Pseudo critical temperature Pseudo critical temperature

TPc (oil field units) 410.219 oR TPc (oil field units) 410.219 oR TPc (oil field 410.219 oR TPc (oil field 410.219 oR TPc (oil field units) 410.219 oR

TPc (SI units) 227.566 K TPc (SI units) 227.566 K TPc (SI units) 227.566 K TPc (SI units) 227.566 K TPc (SI units) 227.566 K

Pseudo critical pressure Pseudo critical pressure Pseudo critical pressure Pseudo critical pressure Pseudo critical pressure

PPc (oil field units) 663.80 psia PPc (oil field units) 663.80 psia PPc (oil field 663.80 psia PPc (oil field 663.80 psia PPc (oil field units) 663.80 psia

PPc (SI units) 4.6E+6 Pa PPc (SI units) 4.6E+6 Pa PPc (SI units 4.6E+6 Pa PPc (SI units 4.6E+6 Pa PPc (SI units) 4.6E+6 Pa

Pseudo reduced properties Pseudo reduced properties Pseudo reduced properties Pseudo reduced properties Pseudo reduced properties

TPR 1.808 TPR 1.808 TPR 1.808 TPR 1.808 TPR 1.808

PPR 5.272641 PPR 6.025875 PPR 6.779110 PPR 7.532344 PPR 8.285579

Hall-Yarborough Hall-Yarborough Hall-Yarborough Hall-Yarborough Hall-Yarborought 0.55304 t 0.55304 t 0.55304 t 0.55304 t 0.55304

a 0.02676 a 0.02676 a 0.02676 a 0.02676 a 0.02676

0.01 0.01 0.01 0.01 0.01

Continue until f(y) < 1x10^(-5) Continue until f(y) < 1x10^(-5) Continue until f(y) < 1x10^(-5) Continue until f(y) < 1x10^(-5) Continue until f(y) < 1x10^(-5)

Iteration 1 Iteration 1 Iteration 1 Iteration 1 Iteration 1

f(y) -131.3E-3 f(y) -151.4E-3 f(y) -171.6E-3 f(y) -191.8E-3 f(y) -211.9E-3

Derivated of f(y), df(y) 0.964 Derivated of f(y), df(y) 0.964 Derivated of f 0.964 Derivated of f 0.964 Derivated of f(y), df(y) 0.964

146.2E-3 167.1E-3 188.1E-3 209.0E-3 229.9E-3

Compressebility factor, z 0.9650 Compressebility factor, z 0.9649 Compressebili 0.9648 Compressebili 0.9647 Compressebility factor, z 0.9646

Iteration 2 Iteration 2 Iteration 2 Iteration 2 Iteration 2

f(y) -7.4E-3 f(y) -4.0E-3 f(y) 3.2E-3 f(y) 15.5E-3 f(y) 34.6E-3

Derivated of f(y), df(y) 1.057 Derivated of f(y), df(y) 1.207 Derivated of f 1.416 Derivated of f 1.700 Derivated of f(y), df(y) 2.076

153.2E-3 170.4E-3 185.8E-3 199.9E-3 213.2E-3

Compressebility factor, z 0.9209 Compressebility factor, z 0.9462 Compressebili 0.9764 Compressebili 1.0086 Compressebility factor, z 1.0400

Iteration 3 Iteration 3 Iteration 3 Iteration 3 Iteration 3

fy 152.2E-6 fy 47.0E-6 fy 29.1E-6 fy 619.8E-6 fy 2.7E-3

Derivated of f(y), df(y) 1.102 Derivated of f(y), df(y) 1.236 Derivated of f 1.391 Derivated of f 1.566 Derivated of f(y), df(y) 1.768

0.153 0.170 0.186 0.199 0.212

Compressebility factor, z 0.9217 Compressebility factor, z 0.9464 Compressebili 0.9765 Compressebili 1.0106 Compressebility factor, z 1.0474

Iteration 4 Iteration 4 Iteration 4 Iteration 4 Iteration 4

f(y) 64.2E-9 f(y) 6.4E-9 f(y) 2.5E-9 f(y) 1.1E-6 f(y) 18.5E-6

Derivated of f(y), df(y) 1.101 Derivated of f(y), df(y) 1.236 Derivated of f 1.390 Derivated of f 1.561 Derivated of f(y), df(y) 1.743

0.153 0.170 0.186 0.199 0.212

Compressebility factor, z 0.9217 Compressebility factor, z 0.9464 Compressebili 0.9765 Compressebili 1.0106 Compressebility factor, z 1.0475

Iteration 5 Iteration 5 Iteration 5 Iteration 5 Iteration 5f(y) 11.3E-15 f(y) 79.8E-18 f(y) 138.8E-18 f(y) 3.3E-12 f(y) 915.3E-12

Derivated of f(y), df(y) 1.101 Derivated of f(y), df(y) 1.236 Derivated of f 1.390 Derivated of f 1.561 Derivated of f(y), df(y) 1.743

0.153 0.170 0.186 0.199 0.212

Compressebility factor, z 0.9217 Compressebility factor, z 0.9464 Compressebili 0.9765 Compressebili 1.0106 Compressebility factor, z 1.0475

oC oC oC oC oC oC

Reduced-density parameter, y0 Reduced-density parameter, y0 Reduced-density parameter, y0 Reduced-density parameter, y0 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, y1 Newton Rapson: Reduced- density parameter, y1 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-density parameter y2 Newton Rapson: Reduced-density parameter y2 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-desity parameter y3 Newton Rapson: Reduced-desity parameter y3 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 Newton Rapson: Reduced-density parameter y4 Newton Rapson: Reduced-density parameter y4

Newton Rapson: Reduced-density parameter y4 Newton Rapson: Reduced-density parameter y4 Newton Rapson: Reduced-density parameter y4 Newton Rapson: Reduced-density parameter y4 Newton Rapson: Reduced-density parameter y4 Newton Rapson: Reduced-density parameter y4

oC oC oC oC oC

Reduced-density parameter, y0 Reduced-density parameter, y0 Reduced-density parameter, y0 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, y1 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-density parameter y2 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-desity parameter y3 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 Newton Rapson: Reduced-density parameter y4

Newton Rapson: Reduced-density parameter y4 Newton Rapson: Reduced-density parameter y4 Newton Rapson: Reduced-density parameter y4 Newton Rapson: Reduced-density parameter y4 Newton Rapson: Reduced-density parameter y4

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50000.0100000.0150000.0200000.0250000.0300000.0350000.0400000.0

f(x) = 40.6540293260191 x + 222961.781260674R² = 0.858795653475534

Qsc vs (mpr-mpwf)/Qsc

Qsc

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f)/Q

sc

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