Bottomholenodaloil Hb
0 30 dynes/cm 1 1.07 Depth (D): Tubing inner diameter (dti): 9,850 ft 2 in. Oil gravity (API): 45 Oil viscosity (c
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0 30 dynes/cm
1
1.07 Depth (D): Tubing inner diameter (dti):
9,850 ft 2 in.
Oil gravity (API):
45
Oil viscosity (cp):
API
o
Aera = S.G. =
2 cp
Production GLR (GLR): Gas specific gravity (g):
500 scf/bbl
Flowing tubing head pressure (phf):
450 psia
Gas =
1 air =1
Flowing tubing head temperature (thf): Flowing temperature at tubing shoe (twf):
80
o
180
o
F F
Water cut (WC): Reservoir pressure (pe):
10 % 5,000 psia
qw =
Bubble point pressure (pb):
4,000 psia
Mass flow rate =
Productivity above bubble point (J*):
(ft) 0 340 679 1,019 1,359 1,698 2,038 2,378 2,717 3,057 3,397 3,736 4,076 4,416 4,755 5,095 5,434 5,774 6,114 6,453 6,793 7,133 7,472 7,812 8,152 8,491
Depth (m) 0 104 207 311 414 518 621 725 828 932 1,036 1,139 1,243 1,346 1,450 1,553 1,657 1,760 1,864 1,968 2,071 2,175 2,278 2,382 2,485 2,589
2 stb/d-psi Pressure (psia) (MPa) 450 3.06 625 4.25 799 5.44 975 6.63 1,152 7.84 1,332 9.06 1,513 10.29 1,696 11.54 1,881 12.80 2,067 14.06 2,255 15.34 2,444 16.63 2,635 17.92 2,826 19.22 3,018 20.53 3,211 21.85 3,405 23.16 3,600 24.49 3,795 25.81 3,990 27.14 4,186 28.48 4,383 29.82 4,580 31.16 4,778 32.50 4,975 33.85 5,173 35.19
Temp. (oF) 80 83 87 90 94 97 101 104 108 111 114 118 121 125 128 132 135 139 142 146 149 152 156 159 163 166
Liquid=
Liquid viscosity = Ppr 0.67 0.93 1.20 1.46 1.72 1.99 2.26 2.54 2.81 3.09 3.37 3.66 3.94 4.23 4.52 4.80 5.09 5.39 5.68 5.97 6.26 6.56 6.85 7.15 7.44 7.74
8,831 9,171 9,510 9,850
2,692 2,796 2,899 3,003 4,833 stb/day 5,969 psia
5,372 5,571 5,770 5,969
36.54 37.90 39.25 40.61
769 m3/d 40.61 MPa
170 173 177 180 -2099.95 stb/day
8.04 8.33 8.63 8.93
Tpc=169.0+314. Ppc=708.75-57.5 a0 -2.462 a1 2.97
= =
388.8 oR 668.36 psia
a2 0.021697 ft
2
e=
-0.2862 a3 0.008054 a4 2.808
0.0006
0.8017 2416667 scf/day
0.82853 S.G.
usl =
14.47737 ft/s
483.3333 bbl/day
a5
-3.498
a6
0.3603
a7
-0.01044
a8
-0.7933
a9
1.396
a10
-0.1491
a11
0.00441
a12
0.08393
Mass flow rate =
1532514 lbm/day
a13
-0.1864
Liquid viscosity =
1.85 cp
a14
0.02033
a15
-0.00061
Tpr 1.39 1.40 1.41 1.42 1.42 1.43 1.44 1.45 1.46 1.47 1.48 1.49 1.50 1.50 1.51 1.52 1.53 1.54 1.55 1.56 1.57 1.58 1.58 1.59 1.60 1.61
ln (g/1*Tpr) Base Visco Gas Viscosity t=1/Tpr (cp) (cp) 0.329594 0.010392 0.010404 0.72 0.401551 0.010446 0.011238 0.715431 0.471122 0.010500 0.012110 0.710921 0.538775 0.010554 0.013024 0.706466 0.604687 0.010608 0.013983 0.702067 0.668897 0.010662 0.014986 0.697723 0.731388 0.010716 0.016033 0.693432 0.792116 0.010770 0.017122 0.689193 0.851028 0.010824 0.018252 0.685006 0.908072 0.010878 0.019420 0.68087 0.963202 0.010932 0.020623 0.676783 1.016381 0.010986 0.021856 0.672745 1.067584 0.011040 0.023117 0.668754 1.116798 0.011094 0.024402 0.664811 1.164021 0.011148 0.025707 0.660914 1.209260 0.011202 0.027027 0.657063 1.252530 0.011256 0.028358 0.653256 1.293856 0.011310 0.029696 0.649493 1.333267 0.011364 0.031037 0.645773 1.370798 0.011417 0.032377 0.642096 1.406488 0.011471 0.033712 0.63846 1.440382 0.011525 0.035038 0.634865 1.472524 0.011579 0.036352 0.63131 1.502965 0.011633 0.037650 0.627795 1.531756 0.011687 0.038929 0.624319 1.558948 0.011741 0.040187 0.620881
A
B
C
D
Y
0.04014 0.039762 0.039389 0.039021 0.038657 0.038297 0.037943 0.037593 0.037247 0.036906 0.036569 0.036236 0.035908 0.035584 0.035264 0.034948 0.034636 0.034328 0.034025 0.033725 0.033429 0.033136 0.032848 0.032563 0.032282 0.032004
7.2771 7.2413 7.2060 7.1712 7.1367 7.1027 7.0691 7.0359 7.0031 6.9707 6.9386 6.9070 6.8757 6.8447 6.8141 6.7838 6.7538 6.7242 6.6949 6.6659 6.6372 6.6088 6.5806 6.5528 6.5253 6.4980
-44.43 -43.55 -42.69 -41.85 -41.03 -40.22 -39.43 -38.65 -37.89 -37.14 -36.41 -35.69 -34.98 -34.29 -33.61 -32.94 -32.29 -31.64 -31.01 -30.39 -29.79 -29.19 -28.60 -28.03 -27.46 -26.90
4.2104 4.1975 4.1848 4.1722 4.1598 4.1476 4.1355 4.1235 4.1117 4.1001 4.0885 4.0771 4.0659 4.0548 4.0438 4.0329 4.0222 4.0116 4.0011 3.9907 3.9805 3.9703 3.9603 3.9504 3.9406 3.9309
0.0296 0.0422 0.0552 0.0688 0.0828 0.0970 0.1113 0.1253 0.1388 0.1515 0.1634 0.1742 0.1841 0.1929 0.2009 0.2080 0.2145 0.2202 0.2254 0.2301 0.2343 0.2382 0.2417 0.2449 0.2473 0.2506
1.62 1.63 1.64 1.65
1.584603 1.608774 1.631521 1.652903
0.011795 0.011849 0.011903 0.011957
0.041421 0.042629 0.043808 0.044958
0.617481 0.614118 0.610791 0.6075
0.03173 0.03146 0.031193 0.030929
6.4710 6.4443 6.4178 6.3916
-26.36 -25.82 -25.30 -24.78
3.9213 3.9118 3.9024 3.8932
0.2530 0.2553 0.2574 0.2591
a1
###
a2
###
a3
###
a4
###
a5
###
F
z
usg
um
Nvl
Nvg
ND
NL
CNL
-1E-005 -2E-005 -3E-005 -3E-005 -4E-005 -3E-005 -2E-005 -4E-007 3.1E-005 6.8E-005 0.000106 0.000142 0.000171 0.00019 0.0002 0.0002 0.000191 0.000176 0.000155 0.000131 0.000106 8.0E-005 5.6E-005 3.3E-005 -0.000948 8.4E-005
0.912062 0.881314 0.853108 0.827685 0.805432 0.78677 0.772074 0.761597 0.755418 0.753424 0.75532 0.760682 0.769021 0.779839 0.792675 0.807122 0.82284 0.839545 0.857009 0.875048 0.893514 0.912287 0.931273 0.950394 0.971705 0.988623
(ft/s) 39.88682 27.94886 21.27729 17.02728 14.10513 11.9968 10.42646 9.231168 8.307114 7.583989 7.01192 6.554429 6.18439 5.881503 5.630542 5.420076 5.241496 5.088288 4.955487 4.839279 4.736703 4.645439 4.563653 4.489877 4.432583 4.361056
(ft/s) 54.36419 42.42624 35.75467 31.50465 28.5825 26.47417 24.90383 23.70854 22.78449 22.06136 21.48929 21.0318 20.66176 20.35888 20.10792 19.89745 19.71887 19.56566 19.43286 19.31665 19.21408 19.12281 19.04103 18.96725 18.90996 18.83843
32.1467 32.1467 32.1467 32.1467 32.1467 32.1467 32.1467 32.1467 32.1467 32.1467 32.1467 32.1467 32.1467 32.1467 32.1467 32.1467 32.1467 32.1467 32.1467 32.1467 32.1467 32.1467 32.1467 32.1467 32.1467 32.1467
88.56784 62.05986 47.24578 37.80871 31.32014 26.63864 23.15173 20.49761 18.44577 16.84009 15.56982 14.55397 13.73231 13.05975 12.5025 12.03516 11.63863 11.29843 11.00355 10.74552 10.51775 10.3151 10.13349 9.969676 9.842457 9.683631
26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799
0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464
0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096
N vl p 0.1 CN L p ND N0.575 vg st
()
0.000273 0.000346 0.000415 0.000481 0.000545 0.000607 0.000666 0.000723 0.000776 0.000826 0.000871 0.000913 0.000951 0.000986 0.001018 0.001047 0.001073 0.001098 0.001121 0.001142 0.001161 0.001180 0.001197 0.001214 0.001228 0.001244
-1E-005 -2E-005 -2E-005 -0.000438
1.008003 4.305832 18.78321 1.027151 4.25423 18.7316 1.046221 4.206496 18.68387 1.065993 4.165306 18.64268
32.1467 32.1467 32.1467 32.1467
9.561009 9.446427 9.340434 9.248975
26.3799 26.3799 26.3799 26.3799
0.008464 0.008464 0.008464 0.008464
0.002096 0.002096 0.002096 0.002096
0.001258 0.001271 0.001284 0.001296
###
###
###
###
###
###
###
###
###
N vl p 0.1 CN L p ND N0.575 vg st
()
0 .38
yL/ 0.512371 0.563282 0.603262 0.636277 0.664278 0.688356 0.709185 0.727223 0.742824 0.756292 0.767908 0.777933 0.786612 0.794160 0.800767 0.806588 0.811756 0.816376 0.820535 0.824303 0.827739 0.830888 0.833790 0.836477 0.838729 0.841327
N vg N L
N 2D.14 0.013129 0.009200 0.007004 0.005605 0.004643 0.003949 0.003432 0.003038 0.002734 0.002496 0.002308 0.002157 0.002036 0.001936 0.001853 0.001784 0.001725 0.001675 0.001631 0.001593 0.001559 0.001529 0.001502 0.001478 0.001459 0.001435
Index:
0 .38 N vg N L N 2D.14
Modified:
###
yL
NRe
f
g
0.005139 0.005298 0.00547 0.005629 0.005777 0.005913 0.006038 0.006152 0.006255 0.006348 0.006431 0.006505 0.006571 0.00663 0.006683 0.006731 0.006775 0.006814 0.006851 0.006884 0.006915 0.006943 0.00697 0.006994 0.007016 0.007039
(lbm/ft ) 1.726798 2.464374 3.237087 4.045066 4.883079 5.741237 6.605932 7.461295 8.291263 9.081826 9.822769 10.50839 11.13715 11.71069 12.23265 12.70766 13.14061 13.53628 13.89903 14.2328 14.54102 14.82669 15.0924 15.34039 15.53867 15.79353 3
1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000
0.013129 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000
1.013815 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164
0.5194 0.5606 0.6003 0.6332 0.6611 0.6850 0.7058 0.7237 0.7392 0.7526 0.7642 0.7742 0.7828 0.7903 0.7969 0.8027 0.8078 0.8124 0.8166 0.8203 0.8237 0.8269 0.8298 0.8324 0.8347 0.8373
110,140 86,046 68,167 56,263 47,840 41,637 36,940 33,311 30,463 28,199 26,376 24,890 23,664 22,639 21,772 21,031 20,389 19,829 19,336 18,898 18,506 18,153 17,834 17,544 17,296 17,036
Average (lbm/ft3) 27.68546 30.0639 32.33168 34.22029 35.83227 37.2244 38.43146 39.47729 40.38057 41.15794 41.82528 42.39792 42.89024 43.31522 43.68414 44.00652 44.29024 44.54173 44.76623 44.96797 45.15039 45.31632 45.46805 45.6075 45.72176 45.85674
0.843491 0.845544 0.847480 0.849225
0.001417 0.001400 0.001385 0.001371
-1.000000 -1.000000 -1.000000 -1.000000
0.012000 0.012000 0.012000 0.012000
0.995164 0.995164 0.995164 0.995164
0.8394 0.8415 0.8434 0.8451
16,814 16,608 16,418 16,246
0.007059 0.007078 0.007096 0.007112
15.99609 16.19011 16.37384 16.53575
45.96659 46.07029 46.16746 46.25391
dp/dz (psi/ft) 0.513826 0.514065 0.517623 0.522621 0.528126 0.533691 0.539071 0.544128 0.548786 0.553017 0.556822 0.560224 0.563261 0.565973 0.568402 0.570587 0.57256 0.574352 0.575985 0.577481 0.578857 0.580127 0.581303 0.582396 0.583344 0.584372
0.585256 0.586092 0.586878 0.587594
0 30 dynes/cm
1
1.07 Depth (D): Tubing inner diameter (dti):
9,850 ft 2 in.
Oil gravity (API):
45
Oil viscosity (cp):
API
o
Aera = S.G. =
2 cp
Production GLR (GLR): Gas specific gravity (g):
500 scf/bbl
Flowing tubing head pressure (phf):
450 psia
Gas =
1 air =1
Flowing tubing head temperature (thf): Flowing temperature at tubing shoe (twf):
80
o
180
o
F F
Water cut (WC): Reservoir pressure (pe):
10 % 5,000 psia
qw =
Bubble point pressure (pb):
4,000 psia
Mass flow rate =
Productivity above bubble point (J*):
(ft) 0 340 679 1,019 1,359 1,698 2,038 2,378 2,717 3,057 3,397 3,736 4,076 4,416 4,755 5,095 5,434 5,774 6,114 6,453 6,793 7,133 7,472 7,812 8,152 8,491
Depth (m) 0 104 207 311 414 518 621 725 828 932 1,036 1,139 1,243 1,346 1,450 1,553 1,657 1,760 1,864 1,968 2,071 2,175 2,278 2,382 2,485 2,589
2 stb/d-psi Pressure (psia) (MPa) 450 3.06 603 4.10 756 5.14 911 6.20 1,068 7.27 1,228 8.35 1,389 9.45 1,551 10.55 1,716 11.67 1,882 12.81 2,050 13.95 2,219 15.10 2,390 16.26 2,561 17.42 2,734 18.60 2,907 19.78 3,082 20.96 3,257 22.15 3,432 23.35 3,609 24.55 3,786 25.75 3,963 26.96 4,141 28.17 4,319 29.38 4,498 30.60 4,677 31.82
Temp. (oF) 80 83 87 90 94 97 101 104 108 111 114 118 121 125 128 132 135 139 142 146 149 152 156 159 163 166
Liquid=
Liquid viscosity = Ppr 0.67 0.90 1.13 1.36 1.60 1.84 2.08 2.32 2.57 2.82 3.07 3.32 3.58 3.83 4.09 4.35 4.61 4.87 5.14 5.40 5.66 5.93 6.20 6.46 6.73 7.00
8,831 9,171 9,510 9,850
2,692 2,796 2,899 3,003 4,296 stb/day 5,397 psia
4,856 5,036 5,216 5,397
33.04 34.26 35.48 36.71
683 m3/d 36.71 MPa
170 173 177 180 -920.16 stb/day
7.27 7.54 7.80 8.07
Tpc=169.0+314. Ppc=708.75-57.5 a0 -2.462 a1 2.97
= =
388.8 oR 668.36 psia
a2 0.021697 ft
2
e=
-0.2862 a3 0.008054 a4 2.808
0.0006
0.8017 2148148 scf/day
0.82853 S.G.
usl =
12.86878 ft/s
429.6296 bbl/day
a5
-3.498
a6
0.3603
a7
-0.01044
a8
-0.7933
a9
1.396
a10
-0.1491
a11
0.00441
a12
0.08393
Mass flow rate =
1362235 lbm/day
a13
-0.1864
Liquid viscosity =
1.85 cp
a14
0.02033
a15
-0.00061
Tpr 1.39 1.40 1.41 1.42 1.42 1.43 1.44 1.45 1.46 1.47 1.48 1.49 1.50 1.50 1.51 1.52 1.53 1.54 1.55 1.56 1.57 1.58 1.58 1.59 1.60 1.61
ln (g/1*Tpr) Base Visco Gas Viscosity t=1/Tpr (cp) (cp) 0.329594 0.010392 0.010404 0.72 0.392655 0.010446 0.011138 0.715431 0.454228 0.010500 0.011907 0.710921 0.514584 0.010554 0.012713 0.706466 0.573792 0.010608 0.013557 0.702067 0.631844 0.010662 0.014441 0.697723 0.688696 0.010716 0.015363 0.693432 0.744290 0.010770 0.016323 0.689193 0.798562 0.010824 0.017319 0.685006 0.851450 0.010878 0.018351 0.68087 0.902896 0.010932 0.019416 0.676783 0.952849 0.010986 0.020511 0.672745 1.001269 0.011040 0.021634 0.668754 1.048124 0.011094 0.022783 0.664811 1.093393 0.011148 0.023954 0.660914 1.137061 0.011202 0.025144 0.657063 1.179126 0.011256 0.026351 0.653256 1.219588 0.011310 0.027570 0.649493 1.258457 0.011364 0.028800 0.645773 1.295748 0.011417 0.030036 0.642096 1.331480 0.011471 0.031276 0.63846 1.365676 0.011525 0.032516 0.634865 1.398363 0.011579 0.033753 0.63131 1.429571 0.011633 0.034986 0.627795 1.459331 0.011687 0.036210 0.624319 1.487678 0.011741 0.037423 0.620881
A
B
C
D
Y
0.04014 0.039762 0.039389 0.039021 0.038657 0.038297 0.037943 0.037593 0.037247 0.036906 0.036569 0.036236 0.035908 0.035584 0.035264 0.034948 0.034636 0.034328 0.034025 0.033725 0.033429 0.033136 0.032848 0.032563 0.032282 0.032004
7.2771 7.2413 7.2060 7.1712 7.1367 7.1027 7.0691 7.0359 7.0031 6.9707 6.9386 6.9070 6.8757 6.8447 6.8141 6.7838 6.7538 6.7242 6.6949 6.6659 6.6372 6.6088 6.5806 6.5528 6.5253 6.4980
-44.43 -43.55 -42.69 -41.85 -41.03 -40.22 -39.43 -38.65 -37.89 -37.14 -36.41 -35.69 -34.98 -34.29 -33.61 -32.94 -32.29 -31.64 -31.01 -30.39 -29.79 -29.19 -28.60 -28.03 -27.46 -26.90
4.2104 4.1975 4.1848 4.1722 4.1598 4.1476 4.1355 4.1235 4.1117 4.1001 4.0885 4.0771 4.0659 4.0548 4.0438 4.0329 4.0222 4.0116 4.0011 3.9907 3.9805 3.9703 3.9603 3.9504 3.9406 3.9309
0.0296 0.0405 0.0518 0.0635 0.0756 0.0879 0.1004 0.1128 0.1249 0.1366 0.1477 0.1581 0.1677 0.1766 0.1846 0.1920 0.1986 0.2046 0.2101 0.2151 0.2196 0.2237 0.2274 0.2309 0.2340 0.2369
1.62 1.63 1.64 1.65
1.514649 1.540282 1.564616 1.587693
0.011795 0.011849 0.011903 0.011957
0.038623 0.039807 0.040973 0.042119
0.617481 0.614118 0.610791 0.6075
0.03173 0.03146 0.031193 0.030929
6.4710 6.4443 6.4178 6.3916
-26.36 -25.82 -25.30 -24.78
3.9213 3.9118 3.9024 3.8932
0.2395 0.2420 0.2443 0.2464
a1
###
a2
###
a3
###
a4
###
a5
###
F
z
usg
um
Nvl
Nvg
ND
NL
CNL
-1E-005 -2E-005 -3E-005 -3E-005 -4E-005 -4E-005 -3E-005 -2E-005 1.7E-006 2.7E-005 5.7E-005 8.7E-005 0.000114 0.000137 0.000152 0.00016 0.000161 0.000154 0.000143 0.000127 0.000108 8.7E-005 6.6E-005 4.6E-005 2.8E-005 6.3E-005
0.912062 0.885368 0.860593 0.837908 0.817596 0.799964 0.785304 0.773847 0.765733 0.76099 0.759521 0.761123 0.765506 0.772335 0.781259 0.791941 0.804074 0.817387 0.831649 0.846667 0.862278 0.878351 0.894775 0.91146 0.928332 0.945205
(ft/s) 35.45495 25.86472 20.1629 16.39128 13.72791 11.76416 10.27258 9.115599 8.204391 7.478383 6.894398 6.420567 6.032803 5.712643 5.445837 5.221361 5.030678 4.867163 4.725663 4.60215 4.493461 4.397089 4.31104 4.233709 4.163799 4.099706
(ft/s) 48.32373 38.7335 33.03168 29.26005 26.59669 24.63294 23.14135 21.98438 21.07317 20.34716 19.76317 19.28934 18.90158 18.58142 18.31461 18.09014 17.89945 17.73594 17.59444 17.47093 17.36224 17.26587 17.17982 17.10249 17.03258 16.96848
28.57485 28.57485 28.57485 28.57485 28.57485 28.57485 28.57485 28.57485 28.57485 28.57485 28.57485 28.57485 28.57485 28.57485 28.57485 28.57485 28.57485 28.57485 28.57485 28.57485 28.57485 28.57485 28.57485 28.57485 28.57485 28.57485
78.72697 57.43206 44.7713 36.39648 30.48253 26.12207 22.81004 20.24099 18.21768 16.60559 15.30886 14.25673 13.39571 12.6848 12.09237 11.59392 11.17051 10.80743 10.49323 10.21898 9.977634 9.763643 9.572572 9.400861 9.245627 9.10331
26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799
0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464
0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096
N vl p 0.1 CN L p ND N0.575 vg st
()
0.000260 0.000320 0.000378 0.000434 0.000488 0.000541 0.000592 0.000642 0.000689 0.000733 0.000775 0.000813 0.000849 0.000883 0.000913 0.000941 0.000967 0.000991 0.001013 0.001034 0.001054 0.001072 0.001089 0.001105 0.001120 0.001134
-0.000102 -1E-005 -1E-005 -1E-005
0.962645 0.979512 0.996619 1.013698
4.043201 3.988905 3.939785 3.894328
16.91198 16.85768 16.80856 16.76311
28.57485 8.977843 28.57485 8.857279 28.57485 8.74821 28.57485 8.647273
26.3799 26.3799 26.3799 26.3799
0.008464 0.008464 0.008464 0.008464
0.002096 0.002096 0.002096 0.002096
0.001148 0.001161 0.001173 0.001185
###
###
###
###
###
###
###
###
###
N vl p 0.1 CN L p ND N0.575 vg st
()
0 .38
yL/ 0.501886 0.546608 0.582823 0.613354 0.639684 0.662682 0.682901 0.700721 0.716425 0.730246 0.742389 0.753050 0.762413 0.770651 0.777923 0.784369 0.790114 0.795260 0.799896 0.804097 0.807923 0.811427 0.814650 0.817629 0.820394 0.822986
N vg N L
N 2D.14 0.011670 0.008514 0.006637 0.005395 0.004519 0.003872 0.003381 0.003000 0.002701 0.002462 0.002269 0.002113 0.001986 0.001880 0.001793 0.001719 0.001656 0.001602 0.001555 0.001515 0.001479 0.001447 0.001419 0.001394 0.001371 0.001349
Index:
0 .38 N vg N L N 2D.14
Modified:
###
yL
NRe
f
g
0.005148 0.005318 0.005477 0.005625 0.005765 0.005895 0.006017 0.00613 0.006234 0.006329 0.006416 0.006495 0.006566 0.006631 0.00669 0.006743 0.006792 0.006837 0.006878 0.006915 0.00695 0.006983 0.007013 0.007042 0.007068 0.007093
(lbm/ft ) 1.726798 2.367067 3.036444 3.735128 4.459785 5.204241 5.9599 6.716347 7.462288 8.186732 8.880185 9.535533 10.14844 10.7172 11.24226 11.72559 12.17004 12.57889 12.95554 13.30324 13.62503 13.92365 14.20157 14.46097 14.70377 14.93364 3
-1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000
0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000
0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164
0.4995 0.5440 0.5800 0.6104 0.6366 0.6595 0.6796 0.6973 0.7130 0.7267 0.7388 0.7494 0.7587 0.7669 0.7742 0.7806 0.7863 0.7914 0.7960 0.8002 0.8040 0.8075 0.8107 0.8137 0.8164 0.8190
108,585 83,583 67,597 56,528 48,466 42,388 37,690 33,990 31,036 28,648 26,698 25,091 23,753 22,627 21,672 20,853 20,144 19,525 18,980 18,497 18,065 17,677 17,326 17,008 16,717 16,450
Average (lbm/ft3) 26.68648 29.20254 31.26165 33.01246 34.5326 35.86727 37.04496 38.08508 39.00221 39.80861 40.51559 41.1341 41.67485 42.14808 42.56324 42.92885 43.25234 43.54006 43.7974 44.02883 44.23811 44.42835 44.60214 44.76165 44.90868 45.04569
0.825350 0.827638 0.829764 0.831770
0.001331 0.001313 0.001297 0.001282
-1.000000 -1.000000 -1.000000 -1.000000
0.012000 0.012000 0.012000 0.012000
0.995164 0.995164 0.995164 0.995164
0.8214 0.8236 0.8258 0.8277
16,208 15,981 15,772 15,578
0.007116 15.14234 45.16948 0.007138 15.34845 45.28907 0.007159 15.53981 45.39933 0.007179 15.7212 45.50276
dp/dz (psi/ft) 0.449348 0.452075 0.456895 0.462491 0.468303 0.474048 0.479571 0.484779 0.489618 0.494063 0.49811 0.501771 0.50507 0.508039 0.510712 0.513123 0.515305 0.517287 0.519094 0.520748 0.522268 0.52367 0.524968 0.526173 0.527296 0.52835
0.529318 0.530249 0.531116 0.531933
0 30 dynes/cm
1
1.07 Depth (D): Tubing inner diameter (dti):
9,850 ft 2 in.
Oil gravity (API):
45
Oil viscosity (cp):
API
o
Aera = S.G. =
2 cp
Production GLR (GLR): Gas specific gravity (g):
500 scf/bbl
Flowing tubing head pressure (phf):
450 psia
Gas =
1 air =1
Flowing tubing head temperature (thf): Flowing temperature at tubing shoe (twf):
80
o
180
o
F F
Water cut (WC): Reservoir pressure (pe):
10 % 5,000 psia
qw =
Bubble point pressure (pb):
4,000 psia
Mass flow rate =
Productivity above bubble point (J*):
(ft) 0 340 679 1,019 1,359 1,698 2,038 2,378 2,717 3,057 3,397 3,736 4,076 4,416 4,755 5,095 5,434 5,774 6,114 6,453 6,793 7,133 7,472 7,812 8,152 8,491
Depth (m) 0 104 207 311 414 518 621 725 828 932 1,036 1,139 1,243 1,346 1,450 1,553 1,657 1,760 1,864 1,968 2,071 2,175 2,278 2,382 2,485 2,589
2 stb/d-psi Pressure (psia) (MPa) 450 3.06 582 3.96 716 4.87 852 5.80 990 6.74 1,130 7.69 1,272 8.66 1,416 9.64 1,562 10.63 1,710 11.63 1,859 12.64 2,009 13.67 2,161 14.70 2,314 15.74 2,468 16.79 2,623 17.84 2,779 18.90 2,935 19.97 3,093 21.04 3,251 22.12 3,410 23.20 3,569 24.28 3,729 25.37 3,890 26.46 4,051 27.56 4,212 28.65
Temp. (oF) 80 83 87 90 94 97 101 104 108 111 114 118 121 125 128 132 135 139 142 146 149 152 156 159 163 166
Liquid=
Liquid viscosity = Ppr 0.67 0.87 1.07 1.28 1.48 1.69 1.90 2.12 2.34 2.56 2.78 3.01 3.23 3.46 3.69 3.92 4.16 4.39 4.63 4.86 5.10 5.34 5.58 5.82 6.06 6.30
8,831 9,171 9,510 9,850
2,692 2,796 2,899 3,003 3,759 stb/day 4,861 psia
4,374 4,536 4,698 4,861
29.75 30.85 31.96 33.07
598 m3/d 33.07 MPa
170 173 177 180 85.31 stb/day
6.54 6.79 7.03 7.27
Tpc=169.0+314. Ppc=708.75-57.5 a0 -2.462 a1 2.97
= =
388.8 oR 668.36 psia
a2 0.021697 ft
2
e=
-0.2862 a3 0.008054 a4 2.808
0.0006
0.8017 1879630 scf/day
0.82853 S.G.
usl =
11.26018 ft/s
375.9259 bbl/day
a5
-3.498
a6
0.3603
a7
-0.01044
a8
-0.7933
a9
1.396
a10
-0.1491
a11
0.00441
a12
0.08393
Mass flow rate =
1191956 lbm/day
a13
-0.1864
Liquid viscosity =
1.85 cp
a14
0.02033
a15
-0.00061
Tpr 1.39 1.40 1.41 1.42 1.42 1.43 1.44 1.45 1.46 1.47 1.48 1.49 1.50 1.50 1.51 1.52 1.53 1.54 1.55 1.56 1.57 1.58 1.58 1.59 1.60 1.61
ln (g/1*Tpr) Base Visco Gas Viscosity t=1/Tpr (cp) (cp) 0.329594 0.010392 0.010404 0.72 0.384397 0.010446 0.011047 0.715431 0.438448 0.010500 0.011721 0.710921 0.491844 0.010554 0.012427 0.706466 0.544581 0.010608 0.013167 0.702067 0.596617 0.010662 0.013941 0.697723 0.647889 0.010716 0.014748 0.693432 0.698329 0.010770 0.015589 0.689193 0.747869 0.010824 0.016463 0.685006 0.796440 0.010878 0.017369 0.68087 0.843980 0.010932 0.018305 0.676783 0.890430 0.010986 0.019270 0.672745 0.935741 0.011040 0.020262 0.668754 0.979870 0.011094 0.021280 0.664811 1.022780 0.011148 0.022321 0.660914 1.064445 0.011202 0.023383 0.657063 1.104844 0.011256 0.024464 0.653256 1.143964 0.011310 0.025562 0.649493 1.181797 0.011364 0.026674 0.645773 1.218342 0.011417 0.027799 0.642096 1.253602 0.011471 0.028932 0.63846 1.287583 0.011525 0.030073 0.634865 1.320298 0.011579 0.031219 0.63131 1.351758 0.011633 0.032367 0.627795 1.381983 0.011687 0.033515 0.624319 1.410990 0.011741 0.034660 0.620881
A
B
C
D
Y
0.04014 0.039762 0.039389 0.039021 0.038657 0.038297 0.037943 0.037593 0.037247 0.036906 0.036569 0.036236 0.035908 0.035584 0.035264 0.034948 0.034636 0.034328 0.034025 0.033725 0.033429 0.033136 0.032848 0.032563 0.032282 0.032004
7.2771 7.2413 7.2060 7.1712 7.1367 7.1027 7.0691 7.0359 7.0031 6.9707 6.9386 6.9070 6.8757 6.8447 6.8141 6.7838 6.7538 6.7242 6.6949 6.6659 6.6372 6.6088 6.5806 6.5528 6.5253 6.4980
-44.43 -43.55 -42.69 -41.85 -41.03 -40.22 -39.43 -38.65 -37.89 -37.14 -36.41 -35.69 -34.98 -34.29 -33.61 -32.94 -32.29 -31.64 -31.01 -30.39 -29.79 -29.19 -28.60 -28.03 -27.46 -26.90
4.2104 4.1975 4.1848 4.1722 4.1598 4.1476 4.1355 4.1235 4.1117 4.1001 4.0885 4.0771 4.0659 4.0548 4.0438 4.0329 4.0222 4.0116 4.0011 3.9907 3.9805 3.9703 3.9603 3.9504 3.9406 3.9309
0.0296 0.0390 0.0487 0.0587 0.0691 0.0797 0.0904 0.1012 0.1119 0.1223 0.1325 0.1421 0.1513 0.1598 0.1678 0.1751 0.1819 0.1881 0.1938 0.1990 0.2037 0.2081 0.2121 0.2157 0.2191 0.2215
1.62 1.63 1.64 1.65
1.438793 1.465432 1.490920 1.515292
0.011795 0.011849 0.011903 0.011957
0.035801 0.036936 0.038062 0.039178
0.617481 0.614118 0.610791 0.6075
0.03173 0.03146 0.031193 0.030929
6.4710 6.4443 6.4178 6.3916
-26.36 -25.82 -25.30 -24.78
3.9213 3.9118 3.9024 3.8932
0.2251 0.2276 0.2307 0.2324
a1
###
a2
###
a3
###
a4
###
a5
###
F
z
usg
um
Nvl
Nvg
ND
NL
CNL
-1E-005 -2E-005 -2E-005 -3E-005 -3E-005 -4E-005 -3E-005 -3E-005 -2E-005 1.1E-007 2.1E-005 4.4E-005 6.7E-005 8.8E-005 0.000106 0.000119 0.000126 0.000128 0.000124 0.000116 0.000104 8.9E-005 7.3E-005 5.6E-005 4.0E-005 -0.000937
0.912062 0.889139 0.86761 0.847624 0.829391 0.813133 0.799068 0.787384 0.778225 0.771673 0.767739 0.766359 0.767402 0.770683 0.775978 0.783049 0.791654 0.801567 0.812577 0.8245 0.837173 0.850457 0.864234 0.878403 0.892881 0.910394
(ft/s) 31.02308 23.51816 18.77447 15.51359 13.14647 11.36225 9.980678 8.889584 8.015124 7.306361 6.726742 6.249136 5.852865 5.521855 5.243451 5.007618 4.806369 4.633344 4.483464 4.352675 4.237729 4.136014 4.045424 3.96425 3.891096 3.836608
(ft/s) 42.28326 34.77834 30.03465 26.77377 24.40665 22.62243 21.24086 20.14976 19.2753 18.56654 17.98692 17.50932 17.11304 16.78204 16.50363 16.2678 16.06655 15.89352 15.74364 15.61286 15.49791 15.39619 15.3056 15.22443 15.15128 15.09679
25.00299 25.00299 25.00299 25.00299 25.00299 25.00299 25.00299 25.00299 25.00299 25.00299 25.00299 25.00299 25.00299 25.00299 25.00299 25.00299 25.00299 25.00299 25.00299 25.00299 25.00299 25.00299 25.00299 25.00299 25.00299 25.00299
68.8861 52.22158 41.68831 34.4476 29.19145 25.22963 22.16188 19.73913 17.79741 16.22362 14.93659 13.87607 12.99616 12.26116 11.64297 11.11931 10.67244 10.28824 9.955437 9.665023 9.409787 9.183932 8.982779 8.802533 8.640096 8.519106
26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799
0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464
0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096
N vl p 0.1 CN L p ND N0.575 vg st
()
0.000245 0.000295 0.000343 0.000389 0.000435 0.000479 0.000522 0.000564 0.000605 0.000644 0.000681 0.000716 0.000749 0.000780 0.000808 0.000835 0.000860 0.000883 0.000905 0.000925 0.000944 0.000961 0.000978 0.000993 0.001008 0.001020
9.3E-006 -0.000162 0.000769 -1E-005
0.922493 0.937944 0.950611 0.967771
3.764521 3.711024 3.650901 3.611806
15.0247 14.9712 14.91108 14.87199
25.00299 25.00299 25.00299 25.00299
8.359039 8.240249 8.106748 8.019938
26.3799 26.3799 26.3799 26.3799
0.008464 0.008464 0.008464 0.008464
0.002096 0.002096 0.002096 0.002096
0.001035 0.001048 0.001061 0.001072
###
###
###
###
###
###
###
###
###
N vl p 0.1 CN L p ND N0.575 vg st
()
0 .38
yL/ 0.490124 0.528947 0.561360 0.589258 0.613715 0.635399 0.654747 0.672065 0.687582 0.701476 0.713903 0.725002 0.734907 0.743747 0.751642 0.758708 0.765049 0.770760 0.775923 0.780610 0.784885 0.788799 0.792399 0.795724 0.798805 0.801305
N vg N L
N 2D.14 0.010211 0.007741 0.006180 0.005106 0.004327 0.003740 0.003285 0.002926 0.002638 0.002405 0.002214 0.002057 0.001927 0.001818 0.001726 0.001648 0.001582 0.001525 0.001476 0.001433 0.001395 0.001361 0.001332 0.001305 0.001281 0.001263
Index:
0 .38 N vg N L N 2D.14
Modified:
###
yL
NRe
f
g
0.005192 0.005347 0.005492 0.005629 0.00576 0.005884 0.006001 0.006111 0.006214 0.006311 0.0064 0.006482 0.006558 0.006628 0.006692 0.006751 0.006806 0.006856 0.006902 0.006945 0.006985 0.007022 0.007057 0.007089 0.00712 0.007146
(lbm/ft ) 1.726798 2.277839 2.853374 3.453139 4.074904 4.714788 5.36743 6.026219 6.683688 7.332047 7.963823 8.572479 9.152882 9.701555 10.21666 10.69782 11.14575 11.56197 11.94848 12.30751 12.64134 12.95222 13.24227 13.51342 13.76748 13.96301 3
-1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000
0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000
0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164
0.4878 0.5264 0.5586 0.5864 0.6107 0.6323 0.6516 0.6688 0.6843 0.6981 0.7104 0.7215 0.7314 0.7401 0.7480 0.7550 0.7613 0.7670 0.7722 0.7768 0.7811 0.7850 0.7886 0.7919 0.7949 0.7974
100,952 80,325 66,338 56,263 48,704 42,865 38,256 34,559 31,554 29,085 27,040 25,331 23,892 22,671 21,628 20,729 19,948 19,266 18,665 18,131 17,655 17,228 16,842 16,491 16,172 15,903
Average (lbm/ft3) 26.10152 28.29325 30.14142 31.74562 33.16195 34.4249 35.55697 36.57369 37.48656 38.30476 39.03637 39.68898 40.27003 40.78688 41.24668 41.65625 42.02189 42.34933 42.64362 42.90918 43.14982 43.36882 43.56897 43.75263 43.92184 44.0558
0.804348 0.806800 0.809459 0.811429
0.001239 0.001222 0.001202 0.001189
-1.000000 -1.000000 -1.000000 -1.000000
0.012000 0.012000 0.012000 0.012000
0.995164 0.995164 0.995164 0.995164
0.8005 0.8029 0.8055 0.8075
15,611 15,367 15,120 14,922
0.007175 0.0072 0.007226 0.007248
14.23039 44.22342 14.43553 44.3553 14.67325 44.50014 14.83208 44.60332
dp/dz (psi/ft) 0.38974 0.394517 0.400256 0.40629 0.412317 0.41818 0.423789 0.42909 0.434052 0.438656 0.442899 0.446784 0.450328 0.45355 0.456476 0.459133 0.461549 0.463749 0.465759 0.467601 0.469293 0.470854 0.472298 0.473639 0.474886 0.475927
0.477141 0.478145 0.479209 0.480032
0 30 dynes/cm
1
1.07 Depth (D): Tubing inner diameter (dti):
9,850 ft 2 in.
Oil gravity (API):
45
Oil viscosity (cp):
API
o
Aera = S.G. =
2 cp
Production GLR (GLR): Gas specific gravity (g):
500 scf/bbl
Flowing tubing head pressure (phf):
450 psia
Gas =
1 air =1
Flowing tubing head temperature (thf): Flowing temperature at tubing shoe (twf):
80
o
180
o
F F
Water cut (WC): Reservoir pressure (pe):
10 % 5,000 psia
qw =
Bubble point pressure (pb):
4,000 psia
Mass flow rate =
Productivity above bubble point (J*):
(ft) 0 340 679 1,019 1,359 1,698 2,038 2,378 2,717 3,057 3,397 3,736 4,076 4,416 4,755 5,095 5,434 5,774 6,114 6,453 6,793 7,133 7,472 7,812 8,152 8,491
Depth (m) 0 104 207 311 414 518 621 725 828 932 1,036 1,139 1,243 1,346 1,450 1,553 1,657 1,760 1,864 1,968 2,071 2,175 2,278 2,382 2,485 2,589
2 stb/d-psi Pressure (psia) (MPa) 450 3.06 564 3.84 680 4.63 798 5.43 918 6.25 1,041 7.08 1,165 7.93 1,291 8.78 1,419 9.66 1,549 10.54 1,681 11.43 1,813 12.34 1,948 13.25 2,083 14.17 2,220 15.10 2,358 16.04 2,496 16.98 2,636 17.93 2,776 18.89 2,918 19.85 3,060 20.81 3,202 21.78 3,345 22.76 3,489 23.74 3,633 24.72 3,778 25.70
Temp. (oF) 80 83 87 90 94 97 101 104 108 111 114 118 121 125 128 132 135 139 142 146 149 152 156 159 163 166
Liquid=
Liquid viscosity = Ppr 0.67 0.84 1.02 1.19 1.37 1.56 1.74 1.93 2.12 2.32 2.51 2.71 2.91 3.12 3.32 3.53 3.74 3.94 4.15 4.37 4.58 4.79 5.01 5.22 5.44 5.65
8,831 9,171 9,510 9,850
2,692 2,796 2,899 3,003 3,222 stb/day 4,361 psia
3,923 4,069 4,215 4,361
26.69 27.68 28.67 29.67
512 m3/d 29.67 MPa
170 173 177 180 936.89 stb/day
5.87 6.09 6.31 6.52
Tpc=169.0+314. Ppc=708.75-57.5 a0 -2.462 a1 2.97
= =
388.8 oR 668.36 psia
a2 0.021697 ft
2
e=
-0.2862 a3 0.008054 a4 2.808
0.0006
0.8017 1611111 scf/day
0.82853 S.G.
usl =
9.651583 ft/s
322.2222 bbl/day
a5
-3.498
a6
0.3603
a7
-0.01044
a8
-0.7933
a9
1.396
a10
-0.1491
a11
0.00441
a12
0.08393
Mass flow rate =
1021676 lbm/day
a13
-0.1864
Liquid viscosity =
1.85 cp
a14
0.02033
a15
-0.00061
Tpr 1.39 1.40 1.41 1.42 1.42 1.43 1.44 1.45 1.46 1.47 1.48 1.49 1.50 1.50 1.51 1.52 1.53 1.54 1.55 1.56 1.57 1.58 1.58 1.59 1.60 1.61
ln (g/1*Tpr) Base Visco Gas Viscosity t=1/Tpr (cp) (cp) 0.329594 0.010392 0.010404 0.72 0.376851 0.010446 0.010964 0.715431 0.423893 0.010500 0.011551 0.710921 0.470712 0.010554 0.012167 0.706466 0.517261 0.010608 0.012812 0.702067 0.563475 0.010662 0.013486 0.697723 0.609282 0.010716 0.014190 0.693432 0.654611 0.010770 0.014923 0.689193 0.699390 0.010824 0.015684 0.685006 0.743550 0.010878 0.016474 0.68087 0.787027 0.010932 0.017291 0.676783 0.829763 0.010986 0.018135 0.672745 0.871701 0.011040 0.019005 0.668754 0.912793 0.011094 0.019899 0.664811 0.952997 0.011148 0.020816 0.660914 0.992275 0.011202 0.021755 0.657063 1.030598 0.011256 0.022714 0.653256 1.067940 0.011310 0.023691 0.649493 1.104281 0.011364 0.024685 0.645773 1.139608 0.011417 0.025694 0.642096 1.173910 0.011471 0.026716 0.63846 1.207183 0.011525 0.027750 0.634865 1.239424 0.011579 0.028793 0.63131 1.270635 0.011633 0.029845 0.627795 1.300820 0.011687 0.030902 0.624319 1.329986 0.011741 0.031963 0.620881
A
B
C
D
Y
0.04014 0.039762 0.039389 0.039021 0.038657 0.038297 0.037943 0.037593 0.037247 0.036906 0.036569 0.036236 0.035908 0.035584 0.035264 0.034948 0.034636 0.034328 0.034025 0.033725 0.033429 0.033136 0.032848 0.032563 0.032282 0.032004
7.2771 7.2413 7.2060 7.1712 7.1367 7.1027 7.0691 7.0359 7.0031 6.9707 6.9386 6.9070 6.8757 6.8447 6.8141 6.7838 6.7538 6.7242 6.6949 6.6659 6.6372 6.6088 6.5806 6.5528 6.5253 6.4980
-44.43 -43.55 -42.69 -41.85 -41.03 -40.22 -39.43 -38.65 -37.89 -37.14 -36.41 -35.69 -34.98 -34.29 -33.61 -32.94 -32.29 -31.64 -31.01 -30.39 -29.79 -29.19 -28.60 -28.03 -27.46 -26.90
4.2104 4.1975 4.1848 4.1722 4.1598 4.1476 4.1355 4.1235 4.1117 4.1001 4.0885 4.0771 4.0659 4.0548 4.0438 4.0329 4.0222 4.0116 4.0011 3.9907 3.9805 3.9703 3.9603 3.9504 3.9406 3.9309
0.0296 0.0376 0.0458 0.0544 0.0632 0.0722 0.0814 0.0906 0.0999 0.1090 0.1180 0.1268 0.1352 0.1432 0.1508 0.1580 0.1646 0.1709 0.1766 0.1820 0.1869 0.1914 0.1957 0.1995 0.2031 0.2065
1.62 1.63 1.64 1.65
1.358142 1.385299 1.411468 1.436666
0.011795 0.011849 0.011903 0.011957
0.033027 0.034092 0.035155 0.036215
0.617481 0.614118 0.610791 0.6075
0.03173 0.03146 0.031193 0.030929
6.4710 6.4443 6.4178 6.3916
-26.36 -25.82 -25.30 -24.78
3.9213 3.9118 3.9024 3.8932
0.2095 0.2122 0.2149 0.2173
a1
###
a2
###
a3
###
a4
###
a5
###
F
z
usg
um
Nvl
Nvg
ND
NL
CNL
-1E-005 -2E-005 -2E-005 -3E-005 -3E-005 -4E-005 -4E-005 -3E-005 -3E-005 -2E-005 -4E-006 1.2E-005 3.0E-005 4.8E-005 6.4E-005 7.9E-005 9.0E-005 9.6E-005 9.9E-005 9.8E-005 9.3E-005 8.5E-005 7.4E-005 6.2E-005 4.9E-005 3.6E-005
0.912062 0.892584 0.874093 0.856719 0.84062 0.825956 0.812888 0.801559 0.792092 0.784577 0.779069 0.775576 0.774063 0.774454 0.776637 0.78047 0.785798 0.792456 0.800282 0.809119 0.818824 0.829265 0.840325 0.851904 0.86391 0.876267
(ft/s) 26.59121 20.89787 17.08136 14.35351 12.31596 10.7449 9.504585 8.507704 7.69536 7.026232 6.470326 6.005218 5.613712 5.282341 5.000378 4.759183 4.551739 4.372323 4.216256 4.079712 3.95955 3.8532 3.758544 3.673842 3.597653 3.528783
(ft/s) 36.2428 30.54945 26.73294 24.0051 21.96754 20.39648 19.15617 18.15929 17.34694 16.67781 16.12191 15.6568 15.2653 14.93392 14.65196 14.41077 14.20332 14.02391 13.86784 13.73129 13.61113 13.50478 13.41013 13.32543 13.24924 13.18037
21.43114 21.43114 21.43114 21.43114 21.43114 21.43114 21.43114 21.43114 21.43114 21.43114 21.43114 21.43114 21.43114 21.43114 21.43114 21.43114 21.43114 21.43114 21.43114 21.43114 21.43114 21.43114 21.43114 21.43114 21.43114 21.43114
59.04523 46.40328 37.92879 31.87167 27.34733 23.85881 21.10473 18.89118 17.08738 15.6016 14.36722 13.33446 12.46513 11.72933 11.10323 10.56767 10.10704 9.708649 9.362108 9.058913 8.792098 8.555948 8.345768 8.157689 7.988513 7.835589
26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799
0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464
0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096
N vl p 0.1 CN L p ND N0.575 vg st
()
0.000230 0.000270 0.000309 0.000347 0.000384 0.000421 0.000457 0.000492 0.000526 0.000559 0.000591 0.000621 0.000651 0.000678 0.000704 0.000729 0.000752 0.000774 0.000795 0.000814 0.000832 0.000849 0.000865 0.000880 0.000894 0.000908
2.4E-005 -0.000166 -0.000202 -0.000243
0.888908 0.902346 0.915451 0.928712
3.466238 13.11782 21.43114 7.696709 3.411341 13.06292 21.43114 7.57481 3.359245 13.01083 21.43114 7.459133 3.311421 12.963 21.43114 7.35294
26.3799 26.3799 26.3799 26.3799
0.008464 0.008464 0.008464 0.008464
0.002096 0.002096 0.002096 0.002096
0.000921 0.000933 0.000944 0.000955
###
###
###
###
###
###
###
###
###
N vl p 0.1 CN L p ND N0.575 vg st
()
0 .38
yL/ 0.476720 0.510013 0.538627 0.563767 0.586173 0.606327 0.624561 0.641112 0.656159 0.669841 0.682275 0.693563 0.703798 0.713071 0.721469 0.729077 0.735975 0.742239 0.747940 0.753143 0.757903 0.762274 0.766300 0.770020 0.773469 0.776677
N vg N L
N 2D.14 0.008753 0.006879 0.005622 0.004725 0.004054 0.003537 0.003128 0.002800 0.002533 0.002313 0.002130 0.001977 0.001848 0.001739 0.001646 0.001567 0.001498 0.001439 0.001388 0.001343 0.001303 0.001268 0.001237 0.001209 0.001184 0.001162
Index:
0 .38 N vg N L N 2D.14
Modified:
###
yL
NRe
f
g
0.005247 0.005386 0.005518 0.005645 0.005767 0.005883 0.005995 0.006101 0.006202 0.006298 0.006388 0.006473 0.006552 0.006626 0.006695 0.006759 0.006819 0.006874 0.006926 0.006974 0.00702 0.007062 0.007101 0.007139 0.007174 0.007207
(lbm/ft ) 1.726798 2.19724 2.688173 3.199053 3.728304 4.273438 4.831104 5.397184 5.966926 6.535173 7.096651 7.646291 8.17955 8.692669 9.182834 9.64822 10.08793 10.50189 10.89062 11.25512 11.59668 11.91676 12.21687 12.49853 12.76322 13.01232 3
-1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000
0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000
0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164
0.4744 0.5075 0.5360 0.5610 0.5833 0.6034 0.6215 0.6380 0.6530 0.6666 0.6790 0.6902 0.7004 0.7096 0.7180 0.7256 0.7324 0.7386 0.7443 0.7495 0.7542 0.7586 0.7626 0.7663 0.7697 0.7729
92,722 76,106 64,192 55,262 48,353 42,882 38,471 34,864 31,881 29,391 27,295 25,520 24,007 22,708 21,588 20,616 19,767 19,022 18,363 17,778 17,255 16,786 16,362 15,977 15,626 15,306
Average (lbm/ft3) 25.4349 27.32232 28.95971 30.41021 31.71219 32.89053 33.96217 34.93907 35.83013 36.64229 37.3814 38.0527 38.66118 39.2118 39.70948 40.1591 40.56543 40.93303 41.26617 41.56875 41.84431 42.09602 42.32665 42.53865 42.73416 42.91503
0.779670 0.782394 0.785015 0.787478
0.001141 0.001123 0.001106 0.001090
-1.000000 -1.000000 -1.000000 -1.000000
0.012000 0.012000 0.012000 0.012000
0.995164 0.995164 0.995164 0.995164
0.7759 0.7786 0.7812 0.7837
15,011 14,744 14,494 14,262
0.007238 0.007267 0.007295 0.007322
13.24711 13.46029 13.66904 13.86645
43.08288 43.23429 43.37971 43.51563
dp/dz (psi/ft) 0.335477 0.341515 0.347821 0.354107 0.360235 0.366133 0.371758 0.377086 0.382102 0.386797 0.39117 0.395224 0.398967 0.402411 0.405573 0.408472 0.411129 0.413564 0.415799 0.417854 0.419747 0.421495 0.423113 0.424616 0.426014 0.427318
0.428539 0.429655 0.430728 0.431738
0 30 dynes/cm
1
1.07 Depth (D): Tubing inner diameter (dti):
9,850 ft 2 in.
Oil gravity (API):
45
Oil viscosity (cp):
API
o
Aera = S.G. =
2 cp
Production GLR (GLR): Gas specific gravity (g):
500 scf/bbl
Flowing tubing head pressure (phf):
450 psia
Gas =
1 air =1
Flowing tubing head temperature (thf): Flowing temperature at tubing shoe (twf):
80
o
180
o
F F
Water cut (WC): Reservoir pressure (pe):
10 % 5,000 psia
qw =
Bubble point pressure (pb):
4,000 psia
Mass flow rate =
Productivity above bubble point (J*):
(ft) 0 340 679 1,019 1,359 1,698 2,038 2,378 2,717 3,057 3,397 3,736 4,076 4,416 4,755 5,095 5,434 5,774 6,114 6,453 6,793 7,133 7,472 7,812 8,152 8,491
Depth (m) 0 104 207 311 414 518 621 725 828 932 1,036 1,139 1,243 1,346 1,450 1,553 1,657 1,760 1,864 1,968 2,071 2,175 2,278 2,382 2,485 2,589
2 stb/d-psi Pressure (psia) (MPa) 450 3.06 547 3.72 647 4.40 749 5.09 853 5.80 959 6.52 1,067 7.26 1,177 8.00 1,288 8.76 1,402 9.53 1,517 10.32 1,633 11.11 1,751 11.91 1,870 12.72 1,990 13.54 2,112 14.37 2,235 15.20 2,358 16.04 2,483 16.89 2,608 17.74 2,734 18.60 2,861 19.46 2,988 20.33 3,117 21.20 3,245 22.08 3,374 22.96
Temp. (oF) 80 83 87 90 94 97 101 104 108 111 114 118 121 125 128 132 135 139 142 146 149 152 156 159 163 166
Liquid=
Liquid viscosity = Ppr 0.67 0.82 0.97 1.12 1.28 1.43 1.60 1.76 1.93 2.10 2.27 2.44 2.62 2.80 2.98 3.16 3.34 3.53 3.71 3.90 4.09 4.28 4.47 4.66 4.86 5.05
8,831 9,171 9,510 9,850
2,692 2,796 2,899 3,003 2,685 stb/day 3,896 psia
3,504 3,634 3,765 3,896
23.84 24.72 25.61 26.50
427 m3/d 26.50 MPa
170 173 177 180 1654.22 stb/day
5.24 5.44 5.63 5.83
Tpc=169.0+314. Ppc=708.75-57.5 a0 -2.462 a1 2.97
= =
388.8 oR 668.36 psia
a2 0.021697 ft
2
e=
-0.2862 a3 0.008054 a4 2.808
0.0006
0.8017 1342593 scf/day
0.82853 S.G.
usl =
8.042986 ft/s
268.5185 bbl/day
a5
-3.498
a6
0.3603
a7
-0.01044
a8
-0.7933
a9
1.396
a10
-0.1491
a11
0.00441
a12
0.08393
Mass flow rate =
851396.9 lbm/day
a13
-0.1864
Liquid viscosity =
1.85 cp
a14
0.02033
a15
-0.00061
Tpr 1.39 1.40 1.41 1.42 1.42 1.43 1.44 1.45 1.46 1.47 1.48 1.49 1.50 1.50 1.51 1.52 1.53 1.54 1.55 1.56 1.57 1.58 1.58 1.59 1.60 1.61
ln (g/1*Tpr) Base Visco Gas Viscosity t=1/Tpr (cp) (cp) 0.329594 0.010392 0.010404 0.72 0.370021 0.010446 0.010889 0.715431 0.410599 0.010500 0.011399 0.710921 0.451269 0.010554 0.011933 0.706466 0.491961 0.010608 0.012492 0.702067 0.532602 0.010662 0.013076 0.697723 0.573117 0.010716 0.013686 0.693432 0.613436 0.010770 0.014321 0.689193 0.653489 0.010824 0.014981 0.685006 0.693211 0.010878 0.015665 0.68087 0.732538 0.010932 0.016374 0.676783 0.771414 0.010986 0.017108 0.672745 0.809783 0.011040 0.017864 0.668754 0.847595 0.011094 0.018643 0.664811 0.884806 0.011148 0.019444 0.660914 0.921374 0.011202 0.020266 0.657063 0.957262 0.011256 0.021107 0.653256 0.992440 0.011310 0.021968 0.649493 1.026879 0.011364 0.022846 0.645773 1.060557 0.011417 0.023741 0.642096 1.093456 0.011471 0.024651 0.63846 1.125559 0.011525 0.025575 0.634865 1.156855 0.011579 0.026511 0.63131 1.187336 0.011633 0.027459 0.627795 1.216996 0.011687 0.028417 0.624319 1.245832 0.011741 0.029384 0.620881
A
B
C
D
Y
0.04014 0.039762 0.039389 0.039021 0.038657 0.038297 0.037943 0.037593 0.037247 0.036906 0.036569 0.036236 0.035908 0.035584 0.035264 0.034948 0.034636 0.034328 0.034025 0.033725 0.033429 0.033136 0.032848 0.032563 0.032282 0.032004
7.2771 7.2413 7.2060 7.1712 7.1367 7.1027 7.0691 7.0359 7.0031 6.9707 6.9386 6.9070 6.8757 6.8447 6.8141 6.7838 6.7538 6.7242 6.6949 6.6659 6.6372 6.6088 6.5806 6.5528 6.5253 6.4980
-44.43 -43.55 -42.69 -41.85 -41.03 -40.22 -39.43 -38.65 -37.89 -37.14 -36.41 -35.69 -34.98 -34.29 -33.61 -32.94 -32.29 -31.64 -31.01 -30.39 -29.79 -29.19 -28.60 -28.03 -27.46 -26.90
4.2104 4.1975 4.1848 4.1722 4.1598 4.1476 4.1355 4.1235 4.1117 4.1001 4.0885 4.0771 4.0659 4.0548 4.0438 4.0329 4.0222 4.0116 4.0011 3.9907 3.9805 3.9703 3.9603 3.9504 3.9406 3.9309
0.0296 0.0364 0.0433 0.0505 0.0579 0.0655 0.0733 0.0811 0.0890 0.0969 0.1047 0.1124 0.1199 0.1272 0.1342 0.1409 0.1473 0.1533 0.1590 0.1643 0.1693 0.1740 0.1783 0.1824 0.1861 0.1897
1.62 1.63 1.64 1.65
1.273844 1.301033 1.327402 1.352956
0.011795 0.011849 0.011903 0.011957
0.030357 0.031336 0.032320 0.033307
0.617481 0.614118 0.610791 0.6075
0.03173 0.03146 0.031193 0.030929
6.4710 6.4443 6.4178 6.3916
-26.36 -25.82 -25.30 -24.78
3.9213 3.9118 3.9024 3.8932
0.1929 0.1960 0.1988 0.2013
a1
###
a2
###
a3
###
a4
###
a5
###
F
z
usg
um
Nvl
Nvg
ND
NL
CNL
-1E-005 -2E-005 -2E-005 -3E-005 -3E-005 -3E-005 -4E-005 -3E-005 -3E-005 -3E-005 -2E-005 -9E-006 3.3E-006 1.7E-005 3.0E-005 4.3E-005 5.5E-005 6.4E-005 7.1E-005 7.4E-005 7.5E-005 7.3E-005 6.8E-005 6.1E-005 5.2E-005 4.3E-005
0.912062 0.895697 0.880015 0.865125 0.851144 0.838191 0.826381 0.815821 0.806607 0.79882 0.792518 0.787741 0.784498 0.782777 0.782538 0.783717 0.786233 0.789989 0.794879 0.800793 0.807622 0.815258 0.823601 0.832558 0.842044 0.851982
(ft/s) 22.15934 18.00645 15.06304 12.87554 11.1929 9.864674 8.795095 7.920217 7.195652 6.589565 6.078464 5.64458 5.274171 4.956398 4.682572 4.445625 4.23975 4.060133 3.902765 3.764296 3.641919 3.533283 3.436412 3.349649 3.271598 3.201086
(ft/s) 30.20233 26.04943 23.10603 20.91852 19.23588 17.90766 16.83808 15.9632 15.23864 14.63255 14.12145 13.68757 13.31716 12.99938 12.72556 12.48861 12.28274 12.10312 11.94575 11.80728 11.6849 11.57627 11.4794 11.39263 11.31458 11.24407
17.85928 17.85928 17.85928 17.85928 17.85928 17.85928 17.85928 17.85928 17.85928 17.85928 17.85928 17.85928 17.85928 17.85928 17.85928 17.85928 17.85928 17.85928 17.85928 17.85928 17.85928 17.85928 17.85928 17.85928 17.85928 17.85928
49.20435 39.98293 33.44717 28.58985 24.85359 21.9043 19.52932 17.58667 15.97779 14.63199 13.4971 12.53367 11.71118 11.00558 10.39755 9.871416 9.414274 9.015438 8.666006 8.358539 8.086804 7.845579 7.63048 7.437824 7.264514 7.107943
26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799
0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464
0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096
N vl p 0.1 CN L p ND N0.575 vg st
()
0.000213 0.000244 0.000275 0.000306 0.000336 0.000365 0.000394 0.000423 0.000451 0.000478 0.000505 0.000531 0.000556 0.000580 0.000603 0.000625 0.000646 0.000666 0.000685 0.000702 0.000719 0.000735 0.000750 0.000765 0.000778 0.000791
3.3E-005 0.862304 3.13712 11.18011 17.85928 2.3E-005 0.87295 3.078861 11.12185 17.85928 1.4E-005 0.883865 3.025598 11.06858 17.85928 -0.000182 0.89567 2.978941 11.02193 17.85928
6.965908 6.836546 6.718276 6.614676
26.3799 26.3799 26.3799 26.3799
0.008464 0.008464 0.008464 0.008464
0.002096 0.002096 0.002096 0.002096
0.000803 0.000815 0.000826 0.000836
###
###
###
###
###
###
###
###
###
N vl p 0.1 CN L p ND N0.575 vg st
()
0 .38
yL/ 0.461122 0.489281 0.514149 0.536445 0.556645 0.575076 0.591973 0.607511 0.621824 0.635017 0.647177 0.658378 0.668686 0.678163 0.686870 0.694863 0.702201 0.708937 0.715127 0.720820 0.726064 0.730904 0.735380 0.739529 0.743383 0.746974
N vg N L
N 2D.14 0.007294 0.005927 0.004958 0.004238 0.003684 0.003247 0.002895 0.002607 0.002368 0.002169 0.002001 0.001858 0.001736 0.001631 0.001541 0.001463 0.001396 0.001336 0.001285 0.001239 0.001199 0.001163 0.001131 0.001103 0.001077 0.001054
Index:
0 .38 N vg N L N 2D.14
Modified:
###
yL
NRe
f
g
0.005317 0.005441 0.005561 0.005678 0.00579 0.005899 0.006005 0.006107 0.006204 0.006298 0.006388 0.006473 0.006554 0.006631 0.006704 0.006772 0.006837 0.006897 0.006954 0.007008 0.007059 0.007107 0.007152 0.007194 0.007234 0.007273
(lbm/ft ) 1.726798 2.125056 2.540304 2.971892 3.41866 3.878963 4.350687 4.83127 5.317753 5.806863 6.295127 6.779016 7.255113 7.720265 8.171728 8.607272 9.025227 9.424496 9.804512 10.16517 10.50674 10.82979 11.13507 11.4235 11.69603 11.95366 3
-1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000
0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000
0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164
0.4589 0.4869 0.5117 0.5339 0.5540 0.5723 0.5891 0.6046 0.6188 0.6319 0.6440 0.6552 0.6655 0.6749 0.6835 0.6915 0.6988 0.7055 0.7117 0.7173 0.7226 0.7274 0.7318 0.7360 0.7398 0.7434
83,738 70,748 60,929 53,273 47,163 42,199 38,107 34,695 31,823 29,386 27,303 25,514 23,967 22,625 21,454 20,428 19,525 18,726 18,017 17,384 16,817 16,306 15,845 15,426 15,044 14,694
Average (lbm/ft3) 24.65921 26.26395 27.69359 28.98557 30.16438 31.24681 32.24478 33.16699 34.02003 34.80901 35.53816 36.21111 36.8312 37.40162 37.92555 38.40618 38.84673 39.25041 39.62038 39.95968 40.27122 40.55769 40.82161 41.06525 41.29068 41.49974
0.750327 0.753465 0.756410 0.759087
0.001033 0.001013 0.000996 0.000981
-1.000000 -1.000000 -1.000000 -1.000000
0.012000 0.012000 0.012000 0.012000
0.995164 0.995164 0.995164 0.995164
0.7467 0.7498 0.7528 0.7554
14,373 14,078 13,805 13,557
0.007309 12.1974 41.6941 0.007343 12.4282 41.87522 0.007376 12.64699 42.0444 0.007406 12.84507 42.19689
dp/dz (psi/ft) 0.286532 0.29316 0.299689 0.306021 0.312113 0.317942 0.323497 0.328772 0.333765 0.338473 0.3429 0.347047 0.350921 0.354529 0.357881 0.36099 0.363868 0.36653 0.368993 0.371272 0.373383 0.37534 0.377157 0.378847 0.380422 0.381893
0.38327 0.384561 0.385774 0.386881
0 30 dynes/cm
1
1.07 Depth (D): Tubing inner diameter (dti):
9,850 ft 2 in.
Oil gravity (API):
45
Oil viscosity (cp):
API
o
Aera = S.G. =
2 cp
Production GLR (GLR): Gas specific gravity (g):
500 scf/bbl
Flowing tubing head pressure (phf):
450 psia
Gas =
1 air =1
Flowing tubing head temperature (thf): Flowing temperature at tubing shoe (twf):
80
o
180
o
F F
Water cut (WC): Reservoir pressure (pe):
10 % 5,000 psia
qw =
Bubble point pressure (pb):
4,000 psia
Mass flow rate =
Productivity above bubble point (J*):
(ft) 0 340 679 1,019 1,359 1,698 2,038 2,378 2,717 3,057 3,397 3,736 4,076 4,416 4,755 5,095 5,434 5,774 6,114 6,453 6,793 7,133 7,472 7,812 8,152 8,491
Depth (m) 0 104 207 311 414 518 621 725 828 932 1,036 1,139 1,243 1,346 1,450 1,553 1,657 1,760 1,864 1,968 2,071 2,175 2,278 2,382 2,485 2,589
2 stb/d-psi Pressure (psia) (MPa) 450 3.06 532 3.62 617 4.20 704 4.79 793 5.40 884 6.01 977 6.65 1,072 7.29 1,168 7.95 1,266 8.62 1,366 9.29 1,467 9.98 1,570 10.68 1,674 11.39 1,779 12.10 1,886 12.83 1,993 13.56 2,102 14.30 2,211 15.04 2,322 15.79 2,433 16.55 2,545 17.31 2,658 18.08 2,771 18.85 2,885 19.63 3,000 20.41
Temp. (oF) 80 83 87 90 94 97 101 104 108 111 114 118 121 125 128 132 135 139 142 146 149 152 156 159 163 166
Liquid=
Liquid viscosity = Ppr 0.67 0.80 0.92 1.05 1.19 1.32 1.46 1.60 1.75 1.89 2.04 2.20 2.35 2.50 2.66 2.82 2.98 3.14 3.31 3.47 3.64 3.81 3.98 4.15 4.32 4.49
8,831 9,171 9,510 9,850
2,692 2,796 2,899 3,003 2,148 stb/day 3,464 psia
3,115 3,231 3,347 3,464
21.19 21.98 22.77 23.56
342 m3/d 23.56 MPa
170 173 177 180 2256.07 stb/day
4.66 4.83 5.01 5.18
Tpc=169.0+314. Ppc=708.75-57.5 a0 -2.462 a1 2.97
= =
388.8 oR 668.36 psia
a2 0.021697 ft
2
e=
-0.2862 a3 0.008054 a4 2.808
0.0006
0.8017 1074074 scf/day
0.82853 S.G.
usl =
6.434389 ft/s
214.8148 bbl/day
a5
-3.498
a6
0.3603
a7
-0.01044
a8
-0.7933
a9
1.396
a10
-0.1491
a11
0.00441
a12
0.08393
Mass flow rate =
681117.5 lbm/day
a13
-0.1864
Liquid viscosity =
1.85 cp
a14
0.02033
a15
-0.00061
Tpr 1.39 1.40 1.41 1.42 1.42 1.43 1.44 1.45 1.46 1.47 1.48 1.49 1.50 1.50 1.51 1.52 1.53 1.54 1.55 1.56 1.57 1.58 1.58 1.59 1.60 1.61
ln (g/1*Tpr) Base Visco Gas Viscosity t=1/Tpr (cp) (cp) 0.329594 0.010392 0.010404 0.72 0.363900 0.010446 0.010823 0.715431 0.398580 0.010500 0.011262 0.710921 0.433562 0.010554 0.011723 0.706466 0.468769 0.010608 0.012206 0.702067 0.504131 0.010662 0.012709 0.697723 0.539577 0.010716 0.013234 0.693432 0.575041 0.010770 0.013781 0.689193 0.610460 0.010824 0.014350 0.685006 0.645774 0.010878 0.014939 0.68087 0.680925 0.010932 0.015551 0.676783 0.715859 0.010986 0.016183 0.672745 0.750525 0.011040 0.016836 0.668754 0.784877 0.011094 0.017510 0.664811 0.818868 0.011148 0.018203 0.660914 0.852459 0.011202 0.018916 0.657063 0.885610 0.011256 0.019648 0.653256 0.918289 0.011310 0.020398 0.649493 0.950462 0.011364 0.021165 0.645773 0.982104 0.011417 0.021950 0.642096 1.013189 0.011471 0.022750 0.63846 1.043696 0.011525 0.023565 0.634865 1.073606 0.011579 0.024394 0.63131 1.102905 0.011633 0.025236 0.627795 1.131578 0.011687 0.026091 0.624319 1.159616 0.011741 0.026956 0.620881
A
B
C
D
Y
0.04014 0.039762 0.039389 0.039021 0.038657 0.038297 0.037943 0.037593 0.037247 0.036906 0.036569 0.036236 0.035908 0.035584 0.035264 0.034948 0.034636 0.034328 0.034025 0.033725 0.033429 0.033136 0.032848 0.032563 0.032282 0.032004
7.2771 7.2413 7.2060 7.1712 7.1367 7.1027 7.0691 7.0359 7.0031 6.9707 6.9386 6.9070 6.8757 6.8447 6.8141 6.7838 6.7538 6.7242 6.6949 6.6659 6.6372 6.6088 6.5806 6.5528 6.5253 6.4980
-44.43 -43.55 -42.69 -41.85 -41.03 -40.22 -39.43 -38.65 -37.89 -37.14 -36.41 -35.69 -34.98 -34.29 -33.61 -32.94 -32.29 -31.64 -31.01 -30.39 -29.79 -29.19 -28.60 -28.03 -27.46 -26.90
4.2104 4.1975 4.1848 4.1722 4.1598 4.1476 4.1355 4.1235 4.1117 4.1001 4.0885 4.0771 4.0659 4.0548 4.0438 4.0329 4.0222 4.0116 4.0011 3.9907 3.9805 3.9703 3.9603 3.9504 3.9406 3.9309
0.0296 0.0353 0.0411 0.0471 0.0533 0.0596 0.0661 0.0727 0.0793 0.0860 0.0926 0.0992 0.1058 0.1122 0.1184 0.1245 0.1304 0.1360 0.1414 0.1466 0.1514 0.1560 0.1604 0.1645 0.1684 0.1720
1.62 1.63 1.64 1.65
1.187010 1.213755 1.239845 1.265279
0.011795 0.011849 0.011903 0.011957
0.027832 0.028717 0.029611 0.030511
0.617481 0.614118 0.610791 0.6075
0.03173 0.03146 0.031193 0.030929
6.4710 6.4443 6.4178 6.3916
-26.36 -25.82 -25.30 -24.78
3.9213 3.9118 3.9024 3.8932
0.1754 0.1786 0.1816 0.1844
a1
###
a2
###
a3
###
a4
###
a5
###
F
z
usg
um
Nvl
Nvg
ND
NL
CNL
-1E-005 -2E-005 -2E-005 -3E-005 -3E-005 -3E-005 -3E-005 -3E-005 -3E-005 -3E-005 -3E-005 -2E-005 -1E-005 -5E-006 5.1E-006 1.5E-005 2.5E-005 3.4E-005 4.2E-005 4.9E-005 5.3E-005 5.5E-005 5.5E-005 5.3E-005 4.9E-005 4.3E-005
0.912062 0.898485 0.885368 0.8728 0.860869 0.84966 0.839256 0.829737 0.821173 0.813628 0.807155 0.801796 0.797578 0.794514 0.792604 0.791831 0.792163 0.793558 0.795959 0.799304 0.803524 0.808547 0.8143 0.82071 0.827708 0.835227
(ft/s) 17.72748 14.85312 12.70705 11.04962 9.736095 8.673827 7.800749 7.073703 6.461738 5.942061 5.497494 5.114826 4.78371 4.495905 4.244752 4.024794 3.831513 3.661128 3.510454 3.376787 3.257827 3.15161 3.056455 2.970922 2.893775 2.823956
(ft/s) 24.16186 21.28751 19.14143 17.48401 16.17048 15.10822 14.23514 13.50809 12.89613 12.37645 11.93188 11.54921 11.2181 10.93029 10.67914 10.45918 10.2659 10.09552 9.944842 9.811175 9.692216 9.585999 9.490844 9.40531 9.328164 9.258345
14.28742 14.28742 14.28742 14.28742 14.28742 14.28742 14.28742 14.28742 14.28742 14.28742 14.28742 14.28742 14.28742 14.28742 14.28742 14.28742 14.28742 14.28742 14.28742 14.28742 14.28742 14.28742 14.28742 14.28742 14.28742 14.28742
39.36348 32.98105 28.21572 24.53544 21.61879 19.26005 17.3214 15.70701 14.34815 13.19422 12.20707 11.35736 10.62213 9.983062 9.425381 8.936969 8.507793 8.129458 7.794888 7.498084 7.233937 6.998084 6.786794 6.596868 6.425566 6.270535
26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799
0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464
0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096
N vl p 0.1 CN L p ND N0.575 vg st
()
0.000193 0.000218 0.000242 0.000265 0.000289 0.000312 0.000335 0.000358 0.000380 0.000402 0.000424 0.000445 0.000465 0.000485 0.000505 0.000523 0.000541 0.000559 0.000575 0.000591 0.000606 0.000621 0.000635 0.000648 0.000660 0.000672
3.7E-005 3.0E-005 2.2E-005 1.5E-005
0.843206 0.851588 0.86032 0.869355
2.760556 2.702792 2.649991 2.601573
9.194945 9.13718 9.08438 9.035962
14.28742 14.28742 14.28742 14.28742
6.129756 6.001492 5.884249 5.776738
26.3799 26.3799 26.3799 26.3799
0.008464 0.008464 0.008464 0.008464
0.002096 0.002096 0.002096 0.002096
0.000684 0.000695 0.000705 0.000715
###
###
###
###
###
###
###
###
###
N vl p 0.1 CN L p ND N0.575 vg st
()
0 .38
yL/ 0.442435 0.465865 0.487081 0.506481 0.524344 0.540876 0.556229 0.570524 0.583853 0.596292 0.607901 0.618734 0.628837 0.638252 0.647020 0.655177 0.662762 0.669811 0.676360 0.682447 0.688105 0.693368 0.698269 0.702838 0.707103 0.711091
N vg N L
N 2D.14 0.005835 0.004889 0.004183 0.003637 0.003205 0.002855 0.002568 0.002328 0.002127 0.001956 0.001810 0.001684 0.001575 0.001480 0.001397 0.001325 0.001261 0.001205 0.001155 0.001111 0.001072 0.001037 0.001006 0.000978 0.000953 0.000930
Index:
0 .38 N vg N L N 2D.14
Modified:
###
yL
NRe
f
g
0.005409 0.005521 0.005629 0.005736 0.00584 0.005942 0.006041 0.006137 0.006231 0.006322 0.00641 0.006495 0.006577 0.006655 0.00673 0.006802 0.00687 0.006935 0.006997 0.007057 0.007113 0.007166 0.007217 0.007265 0.007311 0.007355
(lbm/ft ) 1.726798 2.060965 2.409039 2.770391 3.144152 3.529211 3.924208 4.327544 4.737388 5.151708 5.568313 5.984908 6.399168 6.80881 7.211674 7.605796 7.989471 8.361292 8.720173 9.065352 9.396373 9.713054 10.01545 10.30379 10.57849 10.84003 3
-1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000
0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000
0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164
0.4403 0.4636 0.4847 0.5040 0.5218 0.5383 0.5535 0.5678 0.5810 0.5934 0.6050 0.6157 0.6258 0.6352 0.6439 0.6520 0.6596 0.6666 0.6731 0.6791 0.6848 0.6900 0.6949 0.6994 0.7037 0.7077
73,766 64,003 56,252 49,972 44,800 40,485 36,847 33,750 31,095 28,805 26,817 25,083 23,564 22,229 21,050 20,006 19,077 18,249 17,508 16,843 16,243 15,701 15,209 14,761 14,352 13,978
Average (lbm/ft3) 23.72989 25.07431 26.30174 27.43257 28.48112 29.45774 30.37013 31.22411 32.0242 32.77397 33.47633 34.13374 34.74839 35.3223 35.85744 36.35574 36.81919 37.24979 37.64961 38.02069 38.3651 38.68484 38.98189 39.25808 39.51519 39.75485
0.714826 0.718331 0.721625 0.724727
0.000909 0.000890 0.000872 0.000856
-1.000000 -1.000000 -1.000000 -1.000000
0.012000 0.012000 0.012000 0.012000
0.995164 0.995164 0.995164 0.995164
0.7114 0.7149 0.7181 0.7212
13,633 13,316 13,022 12,750
0.007397 0.007437 0.007475 0.007511
11.08898 39.97859 11.32598 40.1878 11.55165 40.38376 11.76663 40.56763
dp/dz (psi/ft) 0.242796 0.249469 0.255893 0.262055 0.267953 0.273591 0.278971 0.284098 0.288976 0.293609 0.298 0.302154 0.306074 0.309766 0.313236 0.316492 0.31954 0.322392 0.325056 0.327544 0.329866 0.332035 0.33406 0.335954 0.337726 0.339385
0.340942 0.342405 0.343782 0.345079
0 30 dynes/cm
1
1.07 Depth (D): Tubing inner diameter (dti):
9,850 ft 2 in.
Oil gravity (API):
45
Oil viscosity (cp):
API
o
Aera = S.G. =
2 cp
Production GLR (GLR): Gas specific gravity (g):
500 scf/bbl
Flowing tubing head pressure (phf):
450 psia
Gas =
1 air =1
Flowing tubing head temperature (thf): Flowing temperature at tubing shoe (twf):
80
o
180
o
F F
Water cut (WC): Reservoir pressure (pe):
10 % 5,000 psia
qw =
Bubble point pressure (pb):
4,000 psia
Mass flow rate =
Productivity above bubble point (J*):
(ft) 0 340 679 1,019 1,359 1,698 2,038 2,378 2,717 3,057 3,397 3,736 4,076 4,416 4,755 5,095 5,434 5,774 6,114 6,453 6,793 7,133 7,472 7,812 8,152 8,491
Depth (m) 0 104 207 311 414 518 621 725 828 932 1,036 1,139 1,243 1,346 1,450 1,553 1,657 1,760 1,864 1,968 2,071 2,175 2,278 2,382 2,485 2,589
2 stb/d-psi Pressure (psia) (MPa) 450 3.06 519 3.53 591 4.02 664 4.52 740 5.03 817 5.56 896 6.10 977 6.64 1,059 7.21 1,143 7.78 1,229 8.36 1,316 8.95 1,404 9.55 1,494 10.16 1,585 10.78 1,677 11.41 1,770 12.04 1,865 12.68 1,960 13.33 2,056 13.99 2,153 14.65 2,252 15.32 2,350 15.99 2,450 16.67 2,550 17.35 2,651 18.04
Temp. (oF) 80 83 87 90 94 97 101 104 108 111 114 118 121 125 128 132 135 139 142 146 149 152 156 159 163 166
Liquid=
Liquid viscosity = Ppr 0.67 0.78 0.88 0.99 1.11 1.22 1.34 1.46 1.58 1.71 1.84 1.97 2.10 2.24 2.37 2.51 2.65 2.79 2.93 3.08 3.22 3.37 3.52 3.67 3.82 3.97
8,831 9,171 9,510 9,850
2,692 2,796 2,899 3,003 1,611 stb/day 3,061 psia
2,753 2,855 2,958 3,061
18.73 19.42 20.12 20.82
256 m3/d 20.82 MPa
170 173 177 180 2761.55 stb/day
4.12 4.27 4.43 4.58
Tpc=169.0+314. Ppc=708.75-57.5 a0 -2.462 a1 2.97
= =
388.8 oR 668.36 psia
a2 0.021697 ft
2
e=
-0.2862 a3 0.008054 a4 2.808
0.0006
0.8017 805555.6 scf/day
0.82853 S.G.
usl =
4.825791 ft/s
161.1111 bbl/day
a5
-3.498
a6
0.3603
a7
-0.01044
a8
-0.7933
a9
1.396
a10
-0.1491
a11
0.00441
a12
0.08393
Mass flow rate =
510838.1 lbm/day
a13
-0.1864
Liquid viscosity =
1.85 cp
a14
0.02033
a15
-0.00061
Tpr 1.39 1.40 1.41 1.42 1.42 1.43 1.44 1.45 1.46 1.47 1.48 1.49 1.50 1.50 1.51 1.52 1.53 1.54 1.55 1.56 1.57 1.58 1.58 1.59 1.60 1.61
ln (g/1*Tpr) Base Visco Gas Viscosity t=1/Tpr (cp) (cp) 0.329594 0.010392 0.010404 0.72 0.358452 0.010446 0.010764 0.715431 0.387795 0.010500 0.011142 0.710921 0.417554 0.010554 0.011537 0.706466 0.447664 0.010608 0.011951 0.702067 0.478060 0.010662 0.012382 0.697723 0.508683 0.010716 0.012832 0.693432 0.539476 0.010770 0.013300 0.689193 0.570384 0.010824 0.013786 0.685006 0.601355 0.010878 0.014290 0.68087 0.632339 0.010932 0.014813 0.676783 0.663289 0.010986 0.015354 0.672745 0.694160 0.011040 0.015913 0.668754 0.724909 0.011094 0.016491 0.664811 0.755496 0.011148 0.017085 0.660914 0.785881 0.011202 0.017698 0.657063 0.816030 0.011256 0.018327 0.653256 0.845908 0.011310 0.018974 0.649493 0.875485 0.011364 0.019637 0.645773 0.904730 0.011417 0.020315 0.642096 0.933618 0.011471 0.021010 0.63846 0.962124 0.011525 0.021719 0.634865 0.990227 0.011579 0.022442 0.63131 1.017906 0.011633 0.023180 0.627795 1.045143 0.011687 0.023930 0.624319 1.071924 0.011741 0.024693 0.620881
A
B
C
D
Y
0.04014 0.039762 0.039389 0.039021 0.038657 0.038297 0.037943 0.037593 0.037247 0.036906 0.036569 0.036236 0.035908 0.035584 0.035264 0.034948 0.034636 0.034328 0.034025 0.033725 0.033429 0.033136 0.032848 0.032563 0.032282 0.032004
7.2771 7.2413 7.2060 7.1712 7.1367 7.1027 7.0691 7.0359 7.0031 6.9707 6.9386 6.9070 6.8757 6.8447 6.8141 6.7838 6.7538 6.7242 6.6949 6.6659 6.6372 6.6088 6.5806 6.5528 6.5253 6.4980
-44.43 -43.55 -42.69 -41.85 -41.03 -40.22 -39.43 -38.65 -37.89 -37.14 -36.41 -35.69 -34.98 -34.29 -33.61 -32.94 -32.29 -31.64 -31.01 -30.39 -29.79 -29.19 -28.60 -28.03 -27.46 -26.90
4.2104 4.1975 4.1848 4.1722 4.1598 4.1476 4.1355 4.1235 4.1117 4.1001 4.0885 4.0771 4.0659 4.0548 4.0438 4.0329 4.0222 4.0116 4.0011 3.9907 3.9805 3.9703 3.9603 3.9504 3.9406 3.9309
0.0296 0.0343 0.0391 0.0441 0.0492 0.0544 0.0597 0.0652 0.0707 0.0762 0.0818 0.0873 0.0929 0.0984 0.1038 0.1091 0.1143 0.1194 0.1243 0.1291 0.1336 0.1380 0.1422 0.1462 0.1500 0.1537
1.62 1.63 1.64 1.65
1.098234 1.124062 1.149398 1.174233
0.011795 0.011849 0.011903 0.011957
0.025468 0.026254 0.027050 0.027856
0.617481 0.614118 0.610791 0.6075
0.03173 0.03146 0.031193 0.030929
6.4710 6.4443 6.4178 6.3916
-26.36 -25.82 -25.30 -24.78
3.9213 3.9118 3.9024 3.8932
0.1571 0.1604 0.1634 0.1664
a1
###
a2
###
a3
###
a4
###
a5
###
F
z
usg
um
Nvl
Nvg
ND
NL
CNL
-1E-005 -2E-005 -2E-005 -2E-005 -3E-005 -3E-005 -3E-005 -3E-005 -3E-005 -3E-005 -3E-005 -3E-005 -2E-005 -2E-005 -1E-005 -4E-006 3.2E-006 1.1E-005 1.8E-005 2.4E-005 3.0E-005 3.4E-005 3.7E-005 3.8E-005 3.8E-005 3.7E-005
0.912062 0.900962 0.890169 0.879747 0.869761 0.860274 0.851344 0.843027 0.835376 0.828437 0.822252 0.816857 0.81228 0.808544 0.805661 0.803636 0.802466 0.802138 0.802632 0.803921 0.805972 0.808744 0.812195 0.81628 0.820951 0.82616
(ft/s) 13.29561 11.45418 10.01185 8.855702 7.91162 7.128956 6.471942 5.914605 5.437636 5.026383 4.669519 4.358153 4.085196 3.844925 3.63266 3.444532 3.27731 3.12827 2.995097 2.87581 2.768705 2.672305 2.585332 2.506671 2.435351 2.370525
(ft/s) 18.1214 16.27998 14.83764 13.68149 12.73741 11.95475 11.29773 10.7404 10.26343 9.852174 9.495311 9.183944 8.910988 8.670716 8.458451 8.270323 8.103101 7.954061 7.820888 7.701602 7.594496 7.498097 7.411123 7.332463 7.261143 7.196316
10.71557 10.71557 10.71557 10.71557 10.71557 10.71557 10.71557 10.71557 10.71557 10.71557 10.71557 10.71557 10.71557 10.71557 10.71557 10.71557 10.71557 10.71557 10.71557 10.71557 10.71557 10.71557 10.71557 10.71557 10.71557 10.71557
29.52261 25.43377 22.2311 19.6639 17.56758 15.8297 14.37081 13.13326 12.07416 11.16098 10.36857 9.677186 9.071091 8.537574 8.066244 7.64851 7.277197 6.946257 6.650549 6.385676 6.14785 5.933797 5.740675 5.56601 5.407646 5.263699
26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799
0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464
0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096
N vl p 0.1 CN L p ND N0.575 vg st
()
0.000171 0.000189 0.000207 0.000225 0.000242 0.000260 0.000277 0.000295 0.000312 0.000329 0.000345 0.000362 0.000378 0.000394 0.000409 0.000424 0.000439 0.000453 0.000467 0.000480 0.000493 0.000506 0.000518 0.000529 0.000540 0.000551
3.4E-005 3.0E-005 2.6E-005 2.1E-005
0.831861 0.838007 0.844555 0.851463
2.311449 2.257478 2.208042 2.162646
7.137241 7.083269 7.033834 6.988437
10.71557 10.71557 10.71557 10.71557
5.132524 5.012681 4.902911 4.802109
26.3799 26.3799 26.3799 26.3799
0.008464 0.008464 0.008464 0.008464
0.002096 0.002096 0.002096 0.002096
0.000561 0.000571 0.000580 0.000589
###
###
###
###
###
###
###
###
###
N vl p 0.1 CN L p ND N0.575 vg st
()
0 .38
yL/ 0.419046 0.438123 0.455797 0.472263 0.487668 0.502126 0.515728 0.528546 0.540638 0.552053 0.562831 0.573007 0.582612 0.591674 0.600216 0.608265 0.615842 0.622970 0.629673 0.635973 0.641892 0.647454 0.652679 0.657591 0.662210 0.666557
N vg N L
N 2D.14 0.004376 0.003770 0.003295 0.002915 0.002604 0.002347 0.002130 0.001947 0.001790 0.001654 0.001537 0.001435 0.001345 0.001266 0.001196 0.001134 0.001079 0.001030 0.000986 0.000947 0.000911 0.000880 0.000851 0.000825 0.000802 0.000780
Index:
0 .38 N vg N L N 2D.14
Modified:
###
yL
NRe
f
g
0.005541 0.005641 0.00574 0.005838 0.005934 0.006028 0.006122 0.006213 0.006303 0.00639 0.006476 0.006559 0.006641 0.00672 0.006796 0.00687 0.006942 0.00701 0.007077 0.007141 0.007202 0.007261 0.007318 0.007372 0.007425 0.007475
(lbm/ft ) 1.726798 2.004405 2.293165 2.592547 2.901912 3.220503 3.547439 3.881717 4.222206 4.567663 4.916742 5.268017 5.620005 5.971202 6.320114 6.665295 7.005387 7.339144 7.665469 7.983427 8.292261 8.591392 8.880415 9.159088 9.427314 9.685123 3
-1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000
0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000
0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164
0.4170 0.4360 0.4536 0.4700 0.4853 0.4997 0.5132 0.5260 0.5380 0.5494 0.5601 0.5702 0.5798 0.5888 0.5973 0.6053 0.6129 0.6200 0.6266 0.6329 0.6388 0.6443 0.6495 0.6544 0.6590 0.6633
62,415 55,493 49,743 44,908 40,799 37,277 34,234 31,590 29,279 27,249 25,459 23,873 22,464 21,208 20,085 19,079 18,174 17,358 16,621 15,954 15,348 14,797 14,294 13,833 13,411 13,023
Average (lbm/ft3) 22.5667 23.67202 24.70387 25.67213 26.5842 27.44572 28.26109 29.03377 29.76649 30.4615 31.1206 31.74535 32.33708 32.89701 33.42628 33.92598 34.39722 34.84113 35.25888 35.65167 36.02075 36.36739 36.69287 36.99848 37.28549 37.55514
0.670650 0.674510 0.678152 0.681593
0.000761 0.000743 0.000727 0.000712
-1.000000 -1.000000 -1.000000 -1.000000
0.012000 0.012000 0.012000 0.012000
0.995164 0.995164 0.995164 0.995164
0.6674 0.6712 0.6749 0.6783
12,665 12,334 12,028 11,744
0.007523 0.007569 0.007613 0.007656
9.932652 10.17012 10.39782 10.61608
37.80863 38.04711 38.27168 38.48334
dp/dz (psi/ft) 0.203978 0.210261 0.216281 0.222049 0.227577 0.232875 0.237952 0.242814 0.247468 0.251918 0.25617 0.260227 0.264092 0.267769 0.271262 0.274576 0.277715 0.280683 0.283488 0.286135 0.288631 0.290984 0.293201 0.295289 0.297256 0.299111
0.300859 0.302509 0.304067 0.30554
0 30 dynes/cm
1
1.07 Depth (D): Tubing inner diameter (dti):
9,850 ft 2 in.
Oil gravity (API):
45
Oil viscosity (cp):
API
o
Aera = S.G. =
2 cp
Production GLR (GLR): Gas specific gravity (g):
500 scf/bbl
Flowing tubing head pressure (phf):
450 psia
Gas =
1 air =1
Flowing tubing head temperature (thf): Flowing temperature at tubing shoe (twf):
80
o
180
o
F F
Water cut (WC): Reservoir pressure (pe):
10 % 5,000 psia
qw =
Bubble point pressure (pb):
4,000 psia
Mass flow rate =
Productivity above bubble point (J*):
(ft) 0 340 679 1,019 1,359 1,698 2,038 2,378 2,717 3,057 3,397 3,736 4,076 4,416 4,755 5,095 5,434 5,774 6,114 6,453 6,793 7,133 7,472 7,812 8,152 8,491
Depth (m) 0 104 207 311 414 518 621 725 828 932 1,036 1,139 1,243 1,346 1,450 1,553 1,657 1,760 1,864 1,968 2,071 2,175 2,278 2,382 2,485 2,589
2 stb/d-psi Pressure (psia) (MPa) 450 3.06 507 3.45 567 3.86 628 4.27 691 4.70 756 5.14 822 5.59 890 6.05 959 6.52 1,030 7.00 1,102 7.50 1,175 8.00 1,250 8.50 1,326 9.02 1,403 9.55 1,482 10.08 1,561 10.62 1,642 11.17 1,723 11.72 1,806 12.29 1,889 12.85 1,974 13.43 2,059 14.01 2,145 14.59 2,232 15.18 2,319 15.78
Temp. (oF) 80 83 87 90 94 97 101 104 108 111 114 118 121 125 128 132 135 139 142 146 149 152 156 159 163 166
Liquid=
Liquid viscosity = Ppr 0.67 0.76 0.85 0.94 1.03 1.13 1.23 1.33 1.43 1.54 1.65 1.76 1.87 1.98 2.10 2.22 2.34 2.46 2.58 2.70 2.83 2.95 3.08 3.21 3.34 3.47
8,831 9,171 9,510 9,850
2,692 2,796 2,899 3,003 1,074 stb/day 2,675 psia
2,407 2,496 2,585 2,675
16.38 16.98 17.59 18.20
171 m3/d 18.20 MPa
170 173 177 180 3194.41 stb/day
3.60 3.73 3.87 4.00
Tpc=169.0+314. Ppc=708.75-57.5 a0 -2.462 a1 2.97
= =
388.8 oR 668.36 psia
a2 0.021697 ft
2
e=
-0.2862 a3 0.008054 a4 2.808
0.0006
0.8017 537037 scf/day
0.82853 S.G.
usl =
3.217194 ft/s
107.4074 bbl/day
a5
-3.498
a6
0.3603
a7
-0.01044
a8
-0.7933
a9
1.396
a10
-0.1491
a11
0.00441
a12
0.08393
Mass flow rate =
340558.7 lbm/day
a13
-0.1864
Liquid viscosity =
1.85 cp
a14
0.02033
a15
-0.00061
Tpr 1.39 1.40 1.41 1.42 1.42 1.43 1.44 1.45 1.46 1.47 1.48 1.49 1.50 1.50 1.51 1.52 1.53 1.54 1.55 1.56 1.57 1.58 1.58 1.59 1.60 1.61
ln (g/1*Tpr) Base Visco Gas Viscosity t=1/Tpr (cp) (cp) 0.329594 0.010392 0.010404 0.72 0.353569 0.010446 0.010711 0.715431 0.378049 0.010500 0.011034 0.710921 0.402981 0.010554 0.011370 0.706466 0.428312 0.010608 0.011722 0.702067 0.453996 0.010662 0.012088 0.697723 0.479985 0.010716 0.012469 0.693432 0.506234 0.010770 0.012865 0.689193 0.532700 0.010824 0.013276 0.685006 0.559343 0.010878 0.013702 0.68087 0.586122 0.010932 0.014144 0.676783 0.612998 0.010986 0.014601 0.672745 0.639935 0.011040 0.015074 0.668754 0.666898 0.011094 0.015561 0.664811 0.693851 0.011148 0.016064 0.660914 0.720763 0.011202 0.016582 0.657063 0.747602 0.011256 0.017115 0.653256 0.774337 0.011310 0.017663 0.649493 0.800941 0.011364 0.018226 0.645773 0.827387 0.011417 0.018803 0.642096 0.853648 0.011471 0.019395 0.63846 0.879702 0.011525 0.020000 0.634865 0.905525 0.011579 0.020620 0.63131 0.931097 0.011633 0.021252 0.627795 0.956398 0.011687 0.021898 0.624319 0.981411 0.011741 0.022556 0.620881
A
B
C
D
Y
0.04014 0.039762 0.039389 0.039021 0.038657 0.038297 0.037943 0.037593 0.037247 0.036906 0.036569 0.036236 0.035908 0.035584 0.035264 0.034948 0.034636 0.034328 0.034025 0.033725 0.033429 0.033136 0.032848 0.032563 0.032282 0.032004
7.2771 7.2413 7.2060 7.1712 7.1367 7.1027 7.0691 7.0359 7.0031 6.9707 6.9386 6.9070 6.8757 6.8447 6.8141 6.7838 6.7538 6.7242 6.6949 6.6659 6.6372 6.6088 6.5806 6.5528 6.5253 6.4980
-44.43 -43.55 -42.69 -41.85 -41.03 -40.22 -39.43 -38.65 -37.89 -37.14 -36.41 -35.69 -34.98 -34.29 -33.61 -32.94 -32.29 -31.64 -31.01 -30.39 -29.79 -29.19 -28.60 -28.03 -27.46 -26.90
4.2104 4.1975 4.1848 4.1722 4.1598 4.1476 4.1355 4.1235 4.1117 4.1001 4.0885 4.0771 4.0659 4.0548 4.0438 4.0329 4.0222 4.0116 4.0011 3.9907 3.9805 3.9703 3.9603 3.9504 3.9406 3.9309
0.0296 0.0334 0.0373 0.0414 0.0455 0.0498 0.0541 0.0585 0.0629 0.0674 0.0720 0.0765 0.0811 0.0857 0.0902 0.0947 0.0991 0.1035 0.1078 0.1120 0.1161 0.1200 0.1239 0.1276 0.1312 0.1347
1.62 1.63 1.64 1.65
1.006118 1.030506 1.054559 1.078267
0.011795 0.011849 0.011903 0.011957
0.023227 0.023909 0.024603 0.025307
0.617481 0.614118 0.610791 0.6075
0.03173 0.03146 0.031193 0.030929
6.4710 6.4443 6.4178 6.3916
-26.36 -25.82 -25.30 -24.78
3.9213 3.9118 3.9024 3.8932
0.1380 0.1412 0.1442 0.1471
a1
###
a2
###
a3
###
a4
###
a5
###
F
z
usg
um
Nvl
Nvg
ND
NL
CNL
-1E-005 -2E-005 -2E-005 -2E-005 -2E-005 -3E-005 -3E-005 -3E-005 -3E-005 -3E-005 -3E-005 -3E-005 -3E-005 -2E-005 -2E-005 -2E-005 -1E-005 -6E-006 -7E-007 4.6E-006 9.6E-006 1.4E-005 1.8E-005 2.1E-005 2.3E-005 2.4E-005
0.912062 0.903179 0.8945 0.88607 0.877933 0.870134 0.862711 0.855702 0.849145 0.843071 0.837511 0.832491 0.828036 0.824166 0.820895 0.818235 0.816194 0.814774 0.813973 0.813784 0.814196 0.815195 0.816762 0.818873 0.821506 0.824632
(ft/s) 8.863738 7.832705 6.988985 6.288088 5.698445 5.197061 4.766801 4.394649 4.070545 3.786595 3.536521 3.315268 3.118719 2.94349 2.786768 2.646196 2.519785 2.405839 2.302906 2.209733 2.12523 2.04845 1.978558 1.914824 1.8566 1.803315
(ft/s) 12.08093 11.0499 10.20618 9.505282 8.915639 8.414255 7.983995 7.611843 7.287739 7.003789 6.753715 6.532462 6.335914 6.160685 6.003962 5.863391 5.736979 5.623033 5.520101 5.426927 5.342425 5.265644 5.195753 5.132018 5.073795 5.020509
7.143712 7.143712 7.143712 7.143712 7.143712 7.143712 7.143712 7.143712 7.143712 7.143712 7.143712 7.143712 7.143712 7.143712 7.143712 7.143712 7.143712 7.143712 7.143712 7.143712 7.143712 7.143712 7.143712 7.143712 7.143712 7.143712
19.68174 17.39236 15.51889 13.96257 12.65328 11.53996 10.58458 9.758225 9.038558 8.408053 7.852769 7.361481 6.92505 6.535958 6.187959 5.875823 5.595129 5.342115 5.113555 4.906665 4.719029 4.548539 4.393347 4.251826 4.122542 4.004223
26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799
0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464
0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096
N vl p 0.1 CN L p ND N0.575 vg st
()
0.000144 0.000157 0.000169 0.000181 0.000194 0.000206 0.000219 0.000231 0.000243 0.000255 0.000267 0.000279 0.000291 0.000302 0.000314 0.000325 0.000336 0.000347 0.000358 0.000368 0.000378 0.000388 0.000397 0.000406 0.000415 0.000424
2.5E-005 2.4E-005 2.2E-005 2.0E-005
0.828224 1.754461 4.971655 7.143712 3.895743 0.832252 1.709587 4.926781 7.143712 3.796101 0.836686 1.668292 4.885486 7.143712 3.704407 0.841497 1.63022 4.847415 7.143712 3.61987
26.3799 26.3799 26.3799 26.3799
0.008464 0.008464 0.008464 0.008464
0.002096 0.002096 0.002096 0.002096
0.000432 0.000440 0.000448 0.000456
###
###
###
###
###
###
###
###
###
N vl p 0.1 CN L p ND N0.575 vg st
()
0 .38
yL/ 0.387529 0.402514 0.416684 0.430120 0.442887 0.455039 0.466619 0.477665 0.488207 0.498273 0.507884 0.517061 0.525821 0.534179 0.542151 0.549751 0.556991 0.563883 0.570441 0.576677 0.582605 0.588235 0.593583 0.598660 0.603480 0.608057
N vg N L
N 2D.14 0.002918 0.002578 0.002300 0.002070 0.001876 0.001711 0.001569 0.001447 0.001340 0.001246 0.001164 0.001091 0.001027 0.000969 0.000917 0.000871 0.000829 0.000792 0.000758 0.000727 0.000700 0.000674 0.000651 0.000630 0.000611 0.000594
Index:
0 .38 N vg N L N 2D.14
Modified:
###
yL
NRe
f
g
0.005755 0.005846 0.005936 0.006026 0.006115 0.006204 0.006292 0.006378 0.006464 0.006549 0.006632 0.006714 0.006794 0.006874 0.006951 0.007027 0.007101 0.007173 0.007243 0.007312 0.007379 0.007443 0.007506 0.007567 0.007626 0.007683
(lbm/ft ) 1.726798 1.954099 2.190001 2.434108 2.685975 2.945103 3.210934 3.482845 3.760156 4.042123 4.327949 4.616786 4.907745 5.199909 5.492341 5.784106 6.074281 6.361972 6.646332 6.926575 7.201986 7.471934 7.735875 7.993361 8.244036 8.487636 3
-1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000
0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000
0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164
0.3857 0.4006 0.4147 0.4280 0.4407 0.4528 0.4644 0.4754 0.4858 0.4959 0.5054 0.5146 0.5233 0.5316 0.5395 0.5471 0.5543 0.5612 0.5677 0.5739 0.5798 0.5854 0.5907 0.5958 0.6006 0.6051
48,952 44,527 40,695 37,354 34,423 31,839 29,550 27,515 25,698 24,071 22,610 21,295 20,107 19,033 18,058 17,173 16,367 15,632 14,960 14,345 13,782 13,264 12,788 12,349 11,943 11,568
Average (lbm/ft3) 20.99929 21.88076 22.72034 23.52196 24.28876 25.02328 25.72754 26.40322 27.05167 27.67403 28.27122 28.84405 29.39321 29.91929 30.42287 30.90447 31.36461 31.80382 32.22265 32.62167 33.0015 33.36277 33.70617 34.0324 34.34218 34.63627
0.612402 0.616529 0.620450 0.624177
0.000577 0.000563 0.000549 0.000537
-1.000000 -1.000000 -1.000000 -1.000000
0.012000 0.012000 0.012000 0.012000
0.995164 0.995164 0.995164 0.995164
0.6094 0.6135 0.6174 0.6212
11,221 10,898 10,598 10,319
0.007739 0.007792 0.007844 0.007895
8.723981 8.952972 9.174582 9.388842
34.91544 35.18043 35.43201 35.67092
dp/dz (psi/ft) 0.169275 0.174807 0.180133 0.185265 0.190212 0.194983 0.199584 0.204022 0.208301 0.212424 0.216396 0.220219 0.223895 0.227427 0.230816 0.234066 0.237178 0.240155 0.242999 0.245715 0.248305 0.250772 0.253122 0.255358 0.257485 0.259507
0.26143 0.263258 0.264996 0.266649
0 30 dynes/cm
1
1.07 Depth (D): Tubing inner diameter (dti):
9,850 ft 2 in.
Oil gravity (API):
45
Oil viscosity (cp):
API
o
Aera = S.G. =
2 cp
Production GLR (GLR): Gas specific gravity (g):
500 scf/bbl
Flowing tubing head pressure (phf):
450 psia
Gas =
1 air =1
Flowing tubing head temperature (thf): Flowing temperature at tubing shoe (twf):
80
o
180
o
F F
Water cut (WC): Reservoir pressure (pe):
10 % 5,000 psia
qw =
Bubble point pressure (pb):
4,000 psia
Mass flow rate =
Productivity above bubble point (J*):
(ft) 0 340 679 1,019 1,359 1,698 2,038 2,378 2,717 3,057 3,397 3,736 4,076 4,416 4,755 5,095 5,434 5,774 6,114 6,453 6,793 7,133 7,472 7,812 8,152 8,491
Depth (m) 0 104 207 311 414 518 621 725 828 932 1,036 1,139 1,243 1,346 1,450 1,553 1,657 1,760 1,864 1,968 2,071 2,175 2,278 2,382 2,485 2,589
2 stb/d-psi Pressure (psia) (MPa) 450 3.06 496 3.38 544 3.70 593 4.03 643 4.38 695 4.73 748 5.09 803 5.46 859 5.84 915 6.23 974 6.62 1,033 7.03 1,093 7.44 1,155 7.86 1,218 8.28 1,281 8.72 1,346 9.16 1,412 9.60 1,478 10.06 1,546 10.51 1,614 10.98 1,683 11.45 1,753 11.93 1,824 12.41 1,896 12.90 1,968 13.39
Temp. (oF) 80 83 87 90 94 97 101 104 108 111 114 118 121 125 128 132 135 139 142 146 149 152 156 159 163 166
Liquid=
Liquid viscosity = Ppr 0.67 0.74 0.81 0.89 0.96 1.04 1.12 1.20 1.28 1.37 1.46 1.55 1.64 1.73 1.82 1.92 2.01 2.11 2.21 2.31 2.41 2.52 2.62 2.73 2.84 2.94
8,831 9,171 9,510 9,850
2,692 2,796 2,899 3,003 537 stb/day 2,265 psia
2,041 2,115 2,189 2,265
13.89 14.39 14.89 15.40
85 m3/d 15.40 MPa
170 173 177 180 3601.25 stb/day
3.05 3.16 3.28 3.39
Tpc=169.0+314. Ppc=708.75-57.5 a0 -2.462 a1 2.97
= =
388.8 oR 668.36 psia
a2 0.021697 ft
2
e=
-0.2862 a3 0.008054 a4 2.808
0.0006
0.8017 268518.5 scf/day
0.82853 S.G.
usl =
1.608597 ft/s
53.7037 bbl/day
a5
-3.498
a6
0.3603
a7
-0.01044
a8
-0.7933
a9
1.396
a10
-0.1491
a11
0.00441
a12
0.08393
Mass flow rate =
170279.4 lbm/day
a13
-0.1864
Liquid viscosity =
1.85 cp
a14
0.02033
a15
-0.00061
Tpr 1.39 1.40 1.41 1.42 1.42 1.43 1.44 1.45 1.46 1.47 1.48 1.49 1.50 1.50 1.51 1.52 1.53 1.54 1.55 1.56 1.57 1.58 1.58 1.59 1.60 1.61
ln (g/1*Tpr) Base Visco Gas Viscosity t=1/Tpr (cp) (cp) 0.329594 0.010392 0.010404 0.72 0.348859 0.010446 0.010661 0.715431 0.368562 0.010500 0.010929 0.710921 0.388671 0.010554 0.011209 0.706466 0.409156 0.010608 0.011499 0.702067 0.429986 0.010662 0.011801 0.697723 0.451130 0.010716 0.012114 0.693432 0.472560 0.010770 0.012439 0.689193 0.494248 0.010824 0.012775 0.685006 0.516167 0.010878 0.013123 0.68087 0.538288 0.010932 0.013484 0.676783 0.560587 0.010986 0.013856 0.672745 0.583036 0.011040 0.014240 0.668754 0.605611 0.011094 0.014636 0.664811 0.628287 0.011148 0.015045 0.660914 0.651040 0.011202 0.015465 0.657063 0.673847 0.011256 0.015898 0.653256 0.696685 0.011310 0.016344 0.649493 0.719532 0.011364 0.016801 0.645773 0.742366 0.011417 0.017271 0.642096 0.765167 0.011471 0.017752 0.63846 0.787916 0.011525 0.018246 0.634865 0.810592 0.011579 0.018752 0.63131 0.833177 0.011633 0.019270 0.627795 0.855655 0.011687 0.019799 0.624319 0.878007 0.011741 0.020340 0.620881
A
B
C
D
Y
0.04014 0.039762 0.039389 0.039021 0.038657 0.038297 0.037943 0.037593 0.037247 0.036906 0.036569 0.036236 0.035908 0.035584 0.035264 0.034948 0.034636 0.034328 0.034025 0.033725 0.033429 0.033136 0.032848 0.032563 0.032282 0.032004
7.2771 7.2413 7.2060 7.1712 7.1367 7.1027 7.0691 7.0359 7.0031 6.9707 6.9386 6.9070 6.8757 6.8447 6.8141 6.7838 6.7538 6.7242 6.6949 6.6659 6.6372 6.6088 6.5806 6.5528 6.5253 6.4980
-44.43 -43.55 -42.69 -41.85 -41.03 -40.22 -39.43 -38.65 -37.89 -37.14 -36.41 -35.69 -34.98 -34.29 -33.61 -32.94 -32.29 -31.64 -31.01 -30.39 -29.79 -29.19 -28.60 -28.03 -27.46 -26.90
4.2104 4.1975 4.1848 4.1722 4.1598 4.1476 4.1355 4.1235 4.1117 4.1001 4.0885 4.0771 4.0659 4.0548 4.0438 4.0329 4.0222 4.0116 4.0011 3.9907 3.9805 3.9703 3.9603 3.9504 3.9406 3.9309
0.0296 0.0326 0.0357 0.0388 0.0420 0.0453 0.0486 0.0520 0.0554 0.0589 0.0624 0.0659 0.0695 0.0730 0.0766 0.0801 0.0836 0.0871 0.0906 0.0940 0.0974 0.1007 0.1040 0.1072 0.1103 0.1134
1.62 1.63 1.64 1.65
0.900218 0.922274 0.944158 0.965859
0.011795 0.011849 0.011903 0.011957
0.020893 0.021456 0.022031 0.022616
0.617481 0.614118 0.610791 0.6075
0.03173 0.03146 0.031193 0.030929
6.4710 6.4443 6.4178 6.3916
-26.36 -25.82 -25.30 -24.78
3.9213 3.9118 3.9024 3.8932
0.1163 0.1192 0.1220 0.1247
a1
###
a2
###
a3
###
a4
###
a5
###
F
z
usg
um
Nvl
Nvg
ND
NL
CNL
-1E-005 -2E-005 -2E-005 -2E-005 -2E-005 -2E-005 -3E-005 -3E-005 -3E-005 -3E-005 -3E-005 -3E-005 -3E-005 -3E-005 -2E-005 -2E-005 -2E-005 -2E-005 -1E-005 -9E-006 -6E-006 -2E-006 8.4E-007 3.7E-006 6.3E-006 8.4E-006
0.912062 0.905312 0.898704 0.892266 0.886022 0.879998 0.874218 0.868705 0.863478 0.858559 0.853966 0.849715 0.845821 0.8423 0.839161 0.836417 0.834074 0.832139 0.830617 0.829509 0.828816 0.828536 0.828664 0.829195 0.830121 0.831432
(ft/s) 4.431869 4.015381 3.660014 3.354036 3.088487 2.856412 2.652336 2.471896 2.31157 2.168492 2.040302 1.925042 1.821077 1.727027 1.641721 1.564162 1.49349 1.428966 1.369944 1.315862 1.266227 1.220605 1.17861 1.139901 1.104174 1.071156
(ft/s) 6.040466 5.623978 5.268611 4.962633 4.697084 4.465009 4.260933 4.080493 3.920168 3.777089 3.648899 3.53364 3.429674 3.335624 3.250318 3.172759 3.102088 3.037563 2.978541 2.924459 2.874824 2.829202 2.787207 2.748499 2.712771 2.679753
3.571856 3.571856 3.571856 3.571856 3.571856 3.571856 3.571856 3.571856 3.571856 3.571856 3.571856 3.571856 3.571856 3.571856 3.571856 3.571856 3.571856 3.571856 3.571856 3.571856 3.571856 3.571856 3.571856 3.571856 3.571856 3.571856
9.840871 8.916069 8.126984 7.447566 6.857919 6.342601 5.889456 5.488792 5.132793 4.815091 4.530447 4.274516 4.043663 3.834826 3.645407 3.473188 3.316264 3.172988 3.041931 2.921843 2.81163 2.710327 2.617078 2.531127 2.451796 2.378479
26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799 26.3799
0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464 0.008464
0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096 0.002096
N vl p 0.1 CN L p ND N0.575 vg st
()
0.000107 0.000115 0.000122 0.000129 0.000137 0.000144 0.000152 0.000159 0.000166 0.000174 0.000181 0.000188 0.000196 0.000203 0.000210 0.000217 0.000224 0.000231 0.000237 0.000244 0.000251 0.000257 0.000263 0.000269 0.000275 0.000281
1.0E-005 1.1E-005 1.2E-005 1.2E-005
0.833116 0.835162 0.837556 0.840281
1.040602 2.6492 3.571856 2.310636 1.012294 2.620891 3.571856 2.247777 0.986032 2.594629 3.571856 2.189462 0.961638 2.570235 3.571856 2.135297
26.3799 26.3799 26.3799 26.3799
0.008464 0.008464 0.008464 0.008464
0.002096 0.002096 0.002096 0.002096
0.000287 0.000293 0.000298 0.000304
###
###
###
###
###
###
###
###
###
N vl p 0.1 CN L p ND N0.575 vg st
()
0 .38
yL/ 0.337927 0.348632 0.358950 0.368903 0.378511 0.387791 0.396757 0.405422 0.413798 0.421893 0.429717 0.437277 0.444581 0.451634 0.458444 0.465014 0.471352 0.477461 0.483348 0.489017 0.494474 0.499723 0.504771 0.509623 0.514285 0.518762
N vg N L
N 2D.14 0.001459 0.001322 0.001205 0.001104 0.001017 0.000940 0.000873 0.000814 0.000761 0.000714 0.000672 0.000634 0.000599 0.000568 0.000540 0.000515 0.000492 0.000470 0.000451 0.000433 0.000417 0.000402 0.000388 0.000375 0.000363 0.000353
Index:
0 .38 N vg N L N 2D.14
Modified:
###
yL
NRe
f
g
0.006212 0.006296 0.00638 0.006464 0.006548 0.006631 0.006715 0.006798 0.00688 0.006963 0.007044 0.007126 0.007206 0.007286 0.007365 0.007443 0.00752 0.007596 0.007671 0.007745 0.007818 0.007889 0.00796 0.008029 0.008096 0.008163
(lbm/ft ) 1.726798 1.905906 2.090959 2.281711 2.477893 2.679215 2.885358 3.09598 3.310711 3.529153 3.750886 3.975466 4.202426 4.431281 4.661535 4.892678 5.124198 5.35558 5.586318 5.815916 6.043893 6.269795 6.493192 6.713686 6.930917 7.144562 3
-1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000 -1.000000
0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000 0.012000
0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164
0.3363 0.3469 0.3572 0.3671 0.3767 0.3859 0.3948 0.4035 0.4118 0.4199 0.4276 0.4352 0.4424 0.4495 0.4562 0.4628 0.4691 0.4752 0.4810 0.4867 0.4921 0.4973 0.5023 0.5072 0.5118 0.5163
31,608 29,437 27,477 25,701 24,089 22,623 21,285 20,062 18,944 17,918 16,975 16,109 15,310 14,574 13,895 13,266 12,684 12,146 11,646 11,181 10,750 10,348 9,974 9,626 9,300 8,996
Average (lbm/ft3) 18.5325 19.18185 19.81208 20.42418 21.01899 21.59719 22.15935 22.70594 23.23735 23.75391 24.25589 24.74349 25.21692 25.67632 26.12184 26.5536 26.97173 27.37635 27.76759 28.14561 28.51057 28.86264 29.20204 29.52899 29.84375 30.14659
0.523062 0.527190 0.531152 0.534955
0.000343 0.000333 0.000325 0.000317
-1.000000 -1.000000 -1.000000 -1.000000
0.012000 0.012000 0.012000 0.012000
0.995164 0.995164 0.995164 0.995164
0.5205 0.5246 0.5286 0.5324
8,711 8,445 8,195 7,960
0.008228 0.008291 0.008354 0.008415
7.354337 7.560001 7.761354 7.958235
30.43781 30.71774 30.98671 31.24507
dp/dz (psi/ft) 0.135867 0.140227 0.144471 0.148603 0.152628 0.156547 0.160365 0.164083 0.167703 0.171227 0.174655 0.177989 0.181229 0.184377 0.187432 0.190395 0.193267 0.196048 0.198739 0.201341 0.203855 0.206281 0.208622 0.210877 0.21305 0.215142
0.217155 0.219091 0.220951 0.22274
B o tto m H o le P r e s s u r e (p s ia )
7,000
6,000
5,000
IPR TPR
4,000
3,000
2,000
1,000
0 0
500
1,000
1,500
2,000
2,500
3,000
Liquid Production Rate (bbl/d)
3,500
4,000
4,500
5,000
B o tto m H o le P r e s s u r e (M P a
45.00 40.00 35.00 30.00
IPR TPR
25.00 20.00 15.00 10.00 5.00 0.00
0
100
200
300
400
500
600
Liquid Production Rate (m 3/d)
700
800
BottomHoleNodalOil-HB.xls Description: This spreadsheet calculates operating point using Hagedorn-Brown Correlation. Instruction: 1) Select a unit system; 2) Update parameter values in the Input Data section; 3) Click "Solution" button; and 4) View result in the Result section and charts. Input Data
1 Depth (D): Tubing inner diameter (dti):
0
9,850 ft
3,000 m
1.995 in.
0.0500 m
Oil gravity (API):
45 API
Oil viscosity (cp):
2 cp
0.80 S.G.
o
0.0020 Pa-s
Production GLR (GLR): Gas specific gravity (g):
500 scf/bbl
Flowing tubing head pressure (phf):
450 psia
90 sm3/m3
0.7 air =1
Flowing tubing head temperature (thf): Flowing temperature at tubing shoe (twf):
0.709 air =1 3.00 MPa
80 F
40.00
o
180 F
85.00
o
o o
10 %
C C
Water cut (WC): Reservoir pressure (pe):
5000 psia
35 MPa
Bubble point pressure (pb):
4000 psia
28 MPa
Productivity above bubble point (J*):
US Field Units:
1.5 stb/d-psi
6 m3/d-Mpa
qb =
1,500
stb/d
qmax =
4,833
stb/d
q (stb/d) 0 537 1,074 1,611 2,148 2,685 3,222 3,759 4,296 4,833
SI Units:
0 %
qb = qmax = q (m3/d) 0
pwf (psia) IPR 4,908 4,602 4,276 3,925 3,545 3,125 2,649 2,087 1,363 0
TPR 2,265 2,675 3,061 3,464 3,896 4,361 4,861 5,397 5,969
239
m3/d
769
m3/d
pwf (MPa) IPR 33.39
TPR
85 171 256 342 427 512 598 683 769
31.30 29.09 26.70 24.11 21.26 18.02 14.20 9.27 0.00
15.40 18.20 20.82 23.56 26.50 29.67 33.07 36.71 40.61
0
30 dynes/cm
1
1.07 9,850 ft 1.995 in.
Aera =
0.022 ft2
45
S.G. =
0.802
API
o
2 cp 500 scf/bbl
Gas =
### scf/day
Liquid=
### S.G.
5,000 psia
qw =
### bbl/day
4,000 psia
Mass flow rate =
0.7 air =1 450 psia 80
o
180
o
F F
10 %
1.50 stb/d-psi
¿
¿
q=J ( ¯p −p b ) +
pwf =0 . 125 p b
[√
J pb 1. 8
81−80
(
Liquid viscosity =
[ ( ) ( )] ) ] 1−0 . 2
p wf pb
q−q b −1 q max−qb
−0 . 8
p wf pb
2
e=
0.0006
Tpc=169.0+314.0*
=
Ppc=708.75-57.5*S
=
a0
-2.462
a1
2.97
a2
-0.2862
a3
0.008054
a4
2.808
a5
-3.498
a6
0.3603
a7
-0.01044
a8
-0.7933
a9
1.396
a10
-0.1491
a11
0.00441
a12
0.08393
#VALUE! lbm/day
a13
-0.1864
#VALUE! cp
a14
0.02033
usl =
#VALUE! ft/s
a15 -0.0006095
388.8
R
o
668.36 psia
a1
-2.698510E+00
a2
1.584095E-01
a3
-5.509976E-01
a4
5.478492E-01
a5
-1.219458E-01
-1.030658E-01
9.116257E-01
6.177740E-01
-4.821756E+00
-6.329460E-01
1.232250E+03
2.959800E-01
-2.225358E+04
-4.010000E-02 N vl N 0vg. 575
p p st
0. 1
( )
CN L ND
.38 N vg N 0 L
N 2D.14
N vg N 0L .38 N 2D.14
1.161743E+05