100 200 300 400 500 600 700 800 9000

500

1,000

1,500

2,000

2,500

3,000

Pressure (psia)D

ep

th (

ft)

1 2 3 4 5 6 70

100

200

300

400

500

600

700

800

900

Pressure (MPa)D

ep

th (

m)

HagedornBrownCorrelation.xls

Input Data 1 0

Depth (D): 2,500 ft 3000.00 m

2 in. 0.0500 m

Oil gravity (API): 35 0.80 S.G.

Oil viscosity (cp): 5 cp 0.0020 Pa-s

Production GLR (GLR): 75 scf/bbl 90

0.8 air =1 0.709 air =1

200 psia 5.00 MPa

348.8 80.00

180 90.00

230 stb/day 300.00

Water cut (WC): 49 % 0 %

30 dynes/cm 0.030 N/m

1.07 1.076

Depth Pressure

(ft) (m) (psia) (MPa)0 0 200 1.36

86 26 214 1.45172 53 229 1.56259 79 245 1.67345 105 262 1.78431 131 280 1.90517 158 298 2.03603 184 318 2.16690 210 338 2.30776 237 359 2.44862 263 380 2.59948 289 402 2.73

1,034 315 424 2.891,121 342 447 3.041,207 368 471 3.201,293 394 494 3.361,379 421 518 3.531,466 447 543 3.691,552 473 568 3.86

Description: This spreadsheet calculates flowing pressures in tuning string based on tubing head pressure using Hagedorn-Brown Correlation.

Instruction: 1) Select a unit system; 2) Update parameter values in the Input Data section; 3) Click "Slotion" button; and 4) View result in the Solution section and charts.

Tubing inner diameter (dti):oAPI

sm3/m3

Gas specific gravity (gg):

Flowing tubing head pressure (phf):

Flowing tubing head temperature (thf): oF oC

Flowing temperature at tubing shoe (twf): oF oC

Liquid production rate (qL): sm3/day

Interfacial tension (s):

Specific gravity of water (gw): H2O=1

1,638 499 593 4.031,724 526 618 4.201,810 552 644 4.381,897 578 669 4.551,983 604 696 4.732,069 631 722 4.912,155 657 748 5.092,241 683 775 5.272,328 710 801 5.452,414 736 828 5.632,500 762 855 5.82

0

1

2,500 ft

2 in. Aera = 0.022

35 S.G. = 0.85

5 cp

75 scf/bbl Gas = 17250 scf/day

0.8 air =1

200 psia

348.8

180

230 stb/day Liquid= 0.958 S.G.

49 % qw = 112.7 bbl/day

30 dynes/cm Mass flow rate =

1.07 Liquid viscosity =

Temp. Ppr Tpr

(oF)349 0.30 1.92 0.626362343 0.32 1.91 0.628029337 0.35 1.90 0.629815331 0.37 1.88 0.631749326 0.40 1.87 0.633797320 0.42 1.86 0.635951314 0.45 1.84 0.638199308 0.48 1.83 0.640537302 0.51 1.81 0.642951296 0.54 1.80 0.645444291 0.57 1.79 0.648008285 0.61 1.77 0.650637279 0.64 1.76 0.653328273 0.67 1.74 0.656075267 0.71 1.73 0.658875261 0.75 1.72 0.661724256 0.78 1.70 0.664618250 0.82 1.69 0.667554244 0.86 1.68 0.670528

ft2

oAPI

oF

oF

ln (mg/m1*Tpr)

238 0.89 1.66 0.673537232 0.93 1.65 0.676572227 0.97 1.63 0.679641221 1.01 1.62 0.682739215 1.05 1.61 0.685861209 1.09 1.59 0.689005203 1.13 1.58 0.692169197 1.17 1.56 0.695352192 1.21 1.55 0.698551186 1.25 1.54 0.701765180 1.29 1.52 0.704992

Tpc=169.0+314.0* = 420.2

Ppc=708.75-57.5*S = 662.59 psia

-2.462

2.97

-0.2862

e = 0.0006 0.008054

2.808

-3.498

0.3603

-0.01044

-0.7933

1.396

-0.1491

0.68548301486 ft/s 0.00441

0.08393

78235.2595072 lbm/day -0.1864

2.795 cp 0.02033

-0.0006095

Base Viscosity Gas Viscosity t=1/Tpr A B C D Y

(cp) (cp)0.014170 0.013772 0.51953511 0.024122 5.6762 -12.31 3.6451 0.01250.014080 0.013708 0.52330115 0.024402 5.7075 -12.79 3.6557 0.01590.013990 0.013644 0.52712219 0.024688 5.7392 -13.28 3.6665 0.02120.013900 0.013583 0.53099944 0.024979 5.7713 -13.78 3.6774 0.02610.013810 0.013523 0.53493415 0.025275 5.8038 -14.30 3.6885 0.03140.013720 0.013464 0.53892761 0.025577 5.8367 -14.83 3.6998 0.03690.013630 0.013406 0.54298114 0.025884 5.8701 -15.37 3.7112 0.04270.013540 0.013348 0.54709611 0.026198 5.9038 -15.93 3.7228 0.04830.013451 0.013292 0.55127393 0.026518 5.9380 -16.50 3.7346 0.05460.013361 0.013236 0.55551605 0.026844 5.9727 -17.09 3.7466 0.06090.013271 0.013181 0.55982396 0.027176 6.0078 -17.69 3.7587 0.06740.013181 0.013126 0.5641992 0.027514 6.0433 -18.31 3.7710 0.07390.013091 0.013072 0.56864337 0.02786 6.0794 -18.94 3.7836 0.08050.013001 0.013018 0.57315811 0.028212 6.1159 -19.60 3.7963 0.08710.012911 0.012964 0.57774512 0.028571 6.1530 -20.27 3.8092 0.09360.012822 0.012910 0.58240613 0.028937 6.1905 -20.95 3.8224 0.10010.012732 0.012857 0.58714297 0.02931 6.2286 -21.66 3.8357 0.10650.012642 0.012804 0.59195748 0.029691 6.2673 -22.38 3.8493 0.11270.012552 0.012751 0.59685161 0.030079 6.3065 -23.13 3.8631 0.1187

oR

a0

a1

a2

a3

a4

a5

a6

a7

a8

a9

a10

usl = a11

a12

a13

a14

a15

0.012462 0.012697 0.60182734 0.030476 6.3463 -23.90 3.8772 0.12350.012372 0.012644 0.60688673 0.03088 6.3867 -24.68 3.8914 0.13000.012282 0.012591 0.6120319 0.031292 6.4277 -25.49 3.9059 0.13560.012192 0.012538 0.61726506 0.031713 6.4693 -26.32 3.9207 0.14080.012103 0.012484 0.62258849 0.032142 6.5115 -27.18 3.9357 0.14560.012013 0.012430 0.62800454 0.03258 6.5545 -28.06 3.9510 0.15030.011923 0.012376 0.63351564 0.033027 6.5981 -28.96 3.9665 0.15460.011833 0.012322 0.63912432 0.033483 6.6424 -29.90 3.9823 0.15870.011743 0.012268 0.64483321 0.033948 6.6875 -30.85 3.9984 0.16260.011653 0.012213 0.650645 0.034423 6.7333 -31.84 4.0148 0.16630.011563 0.012158 0.6565625 0.034907 6.7798 -32.86 4.0315 0.1697

a1 -2.698510E+00

a2 1.584095E-01

a3 -5.509976E-01

a4 5.478492E-01

a5 -1.219458E-01

F z

(ft/s) (ft/s)0.004943 0.584092 0.611385 1.296868 1.578252 1.407648 28.43323 0.012333 0.0022760.007637 0.495121 0.481177 1.16666 1.578252 1.10786 28.43323 0.012333 0.0022760.011991 0.40187 0.362551 1.048035 1.578252 0.834736 28.43323 0.012333 0.0022760.01587 0.352998 0.295369 0.980852 1.578252 0.680056 28.43323 0.012333 0.0022760.01991 0.318197 0.247095 0.932578 1.578252 0.56891 28.43323 0.012333 0.002276

0.024043 0.292817 0.211253 0.896736 1.578252 0.486388 28.43323 0.012333 0.0022760.028305 0.273336 0.18346 0.868943 1.578252 0.422397 28.43323 0.012333 0.0022760.032295 0.26038 0.16284 0.848323 1.578252 0.374923 28.43323 0.012333 0.0022760.036791 0.24768 0.144587 0.83007 1.578252 0.332896 28.43323 0.012333 0.0022760.041136 0.23849 0.130169 0.815652 1.578252 0.299701 28.43323 0.012333 0.0022760.045453 0.231326 0.118254 0.803737 1.578252 0.272268 28.43323 0.012333 0.0022760.049714 0.225804 0.1083 0.793783 1.578252 0.249348 28.43323 0.012333 0.0022760.053896 0.221617 0.099893 0.785376 1.578252 0.229994 28.43323 0.012333 0.0022760.057931 0.218689 0.092795 0.778278 1.578252 0.21365 28.43323 0.012333 0.0022760.061838 0.216707 0.086703 0.772186 1.578252 0.199624 28.43323 0.012333 0.0022760.065565 0.215636 0.081475 0.766958 1.578252 0.187587 28.43323 0.012333 0.0022760.069082 0.215385 0.076969 0.762452 1.578252 0.177213 28.43323 0.012333 0.0022760.072361 0.215887 0.073072 0.758555 1.578252 0.168241 28.43323 0.012333 0.0022760.075378 0.217083 0.069692 0.755175 1.578252 0.160459 28.43323 0.012333 0.002276

usg um Nvl Nvg ND NL CNL

0.077231 0.220808 0.067327 0.75281 1.578252 0.155013 28.43323 0.012333 0.0022760.080414 0.221628 0.064269 0.749752 1.578252 0.147973 28.43323 0.012333 0.0022760.082783 0.224134 0.061886 0.747369 1.578252 0.142486 28.43323 0.012333 0.0022760.084605 0.227636 0.059914 0.745397 1.578252 0.137946 28.43323 0.012333 0.0022760.086087 0.231657 0.058187 0.74367 1.578252 0.133969 28.43323 0.012333 0.0022760.087226 0.236175 0.056671 0.742154 1.578252 0.13048 28.43323 0.012333 0.0022760.088019 0.241169 0.05534 0.740823 1.578252 0.127415 28.43323 0.012333 0.0022760.088466 0.246619 0.05417 0.739653 1.578252 0.124721 28.43323 0.012333 0.0022760.088571 0.252511 0.05314 0.738623 1.578252 0.122349 28.43323 0.012333 0.0022760.088338 0.258828 0.052233 0.737716 1.578252 0.12026 28.43323 0.012333 0.0022760.087775 0.26556 0.051433 0.736916 1.578252 0.11842 28.43323 0.012333 0.002276

-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 1.161743E+05

Index: Modified: j

0.000135 0.375811 0.000205 -1.000000 0.012000 0.9951640.000156 0.401524 0.000161 -1.000000 0.012000 0.9951640.000184 0.433270 0.000122 -1.000000 0.012000 0.9951640.000209 0.457619 0.000099 -1.000000 0.012000 0.9951640.000233 0.479618 0.000083 -1.000000 0.012000 0.9951640.000257 0.499535 0.000071 -1.000000 0.012000 0.9951640.000280 0.517904 0.000062 -1.000000 0.012000 0.9951640.000302 0.533835 0.000055 -1.000000 0.012000 0.9951640.000325 0.549872 0.000048 -1.000000 0.012000 0.9951640.000348 0.564299 0.000044 -1.000000 0.012000 0.9951640.000370 0.577659 0.000040 -1.000000 0.012000 0.9951640.000391 0.590040 0.000036 -1.000000 0.012000 0.9951640.000412 0.601532 0.000034 -1.000000 0.012000 0.9951640.000432 0.612124 0.000031 -1.000000 0.012000 0.9951640.000451 0.621962 0.000029 -1.000000 0.012000 0.9951640.000470 0.631052 0.000027 -1.000000 0.012000 0.9951640.000488 0.639437 0.000026 -1.000000 0.012000 0.9951640.000505 0.647160 0.000025 -1.000000 0.012000 0.9951640.000521 0.654262 0.000023 -1.000000 0.012000 0.995164

yL/j

NvlN vg0.575 ( ppst )

0 .1 CNLND

N vgN L0 .38

N D2 .14

N vgN L0 .38

N D2 .14

0.000534 0.659681 0.000023 -1.000000 0.012000 0.9951640.000551 0.666608 0.000022 -1.000000 0.012000 0.9951640.000565 0.672385 0.000021 -1.000000 0.012000 0.9951640.000578 0.677436 0.000020 -1.000000 0.012000 0.9951640.000590 0.682055 0.000020 -1.000000 0.012000 0.9951640.000601 0.686277 0.000019 -1.000000 0.012000 0.9951640.000612 0.690135 0.000019 -1.000000 0.012000 0.9951640.000622 0.693659 0.000018 -1.000000 0.012000 0.9951640.000631 0.696879 0.000018 -1.000000 0.012000 0.9951640.000639 0.699822 0.000018 -1.000000 0.012000 0.9951640.000647 0.702513 0.000017 -1.000000 0.012000 0.995164

f dp/dz

(psi/ft)0.3740 8,567 0.008262 0.914421 22.92302 0.1607950.3996 7,500 0.008543 1.161866 24.57738 0.1722260.4312 6,356 0.008914 1.542024 26.64498 0.1865260.4554 5,601 0.009217 1.892762 28.24671 0.1976130.4773 4,996 0.009505 2.262543 29.70692 0.2077250.4971 4,505 0.009777 2.646415 31.03965 0.2169580.5154 4,095 0.01004 3.047328 32.278 0.225540.5313 3,770 0.010276 3.433197 33.358 0.2330260.5472 3,469 0.010523 3.866621 34.45325 0.2406210.5616 3,218 0.010753 4.294894 35.44353 0.2474880.5749 3,002 0.010972 4.727635 36.36495 0.253880.5872 2,815 0.011182 5.16219 37.2224 0.2598280.5986 2,652 0.011381 5.596596 38.0212 0.2653710.6092 2,511 0.01157 6.024745 38.75946 0.2704940.6190 2,386 0.011749 6.448041 39.4469 0.2752650.6280 2,276 0.011918 6.861811 40.08308 0.279680.6363 2,180 0.012077 7.263505 40.67059 0.2837590.6440 2,094 0.012226 7.65084 41.21196 0.2875170.6511 2,019 0.012365 8.021873 41.70973 0.290973

yL NRe rg Average r(lbm/ft3) (lbm/ft3)

0.6565 1,964 0.012471 8.303697 42.08555 0.2935820.6634 1,895 0.012611 8.698759 42.57323 0.2969680.6691 1,840 0.012729 9.033766 42.97766 0.2997760.6742 1,793 0.012832 9.33108 43.32953 0.302220.6788 1,751 0.012927 9.608092 43.65034 0.3044480.6830 1,714 0.013015 9.865 43.94251 0.3064770.6868 1,681 0.013095 10.10226 44.20837 0.3083230.6903 1,652 0.013169 10.32051 44.45014 0.3100020.6935 1,626 0.013236 10.52057 44.6699 0.3115290.6964 1,602 0.013298 10.70331 44.86959 0.3129160.6991 1,581 0.013354 10.86969 45.051 0.314176