Hagedorn Brown Correlation

0 500 1,000 1,500 2,000 2,500 3,000 3,5000

2,000

4,000

6,000

8,000

10,000

12,000

Pressure (psia)

De

pth

(ft

)

0 5 10 15 20 250

500

1,000

1,500

2,000

2,500

3,000

3,500

Pressure (MPa)

De

pth

(m

)

HagedornBrownCorrelation.xls

Input Data 1 0

Depth (D): 9,700 ft 3000.00 m

1.995 in. 0.0500 m

Oil gravity (API): 40 0.80 S.G.

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

Production GLR (GLR): 75 scf/bbl 90

0.7 air =1 0.709 air =1

200 psia 5.00 MPa

80 80.00

180 90.00

758 stb/day 300.00

Water cut (WC): 10 % 0 %

30 dynes/cm 0.030 N/m

1.05 1.076

Depth Pressure

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

334 102 267 1.81669 204 338 2.30

1,003 306 415 2.821,338 408 495 3.371,672 510 579 3.942,007 612 667 4.542,341 714 757 5.152,676 816 850 5.783,010 918 945 6.433,345 1,020 1,042 7.093,679 1,122 1,142 7.774,014 1,224 1,243 8.454,348 1,326 1,345 9.154,683 1,428 1,450 9.865,017 1,530 1,555 10.585,352 1,632 1,662 11.315,686 1,734 1,770 12.046,021 1,836 1,879 12.786,355 1,938 1,989 13.53

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

6,690 2,040 2,100 14.297,024 2,142 2,212 15.057,359 2,243 2,324 15.817,693 2,345 2,437 16.588,028 2,447 2,551 17.358,362 2,549 2,665 18.138,697 2,651 2,780 18.919,031 2,753 2,895 19.709,366 2,855 3,011 20.489,700 2,957 3,127 21.27

0

1

9,700 ft

1.995 in. Aera = 0.022

40 S.G. = 0.825

5 cp

75 scf/bbl Gas = 56850 scf/day

0.7 air =1

200 psia

80

180

758 stb/day Liquid= 0.848 S.G.

10 % qw = 75.8 bbl/day

30 dynes/cm Mass flow rate =

1.05 Liquid viscosity =

Temp. Ppr Tpr

(oF)80 0.30 1.39 0.22221383 0.40 1.40 0.25137487 0.51 1.41 0.28212190 0.62 1.42 0.31468294 0.74 1.42 0.34844897 0.87 1.43 0.383157

101 1.00 1.44 0.418584104 1.13 1.45 0.454548108 1.27 1.46 0.490837111 1.41 1.47 0.527385114 1.56 1.48 0.564045118 1.71 1.49 0.600708121 1.86 1.50 0.637276125 2.01 1.50 0.673665128 2.17 1.51 0.709795132 2.33 1.52 0.745600135 2.49 1.53 0.781021139 2.65 1.54 0.816003142 2.81 1.55 0.850501146 2.98 1.56 0.884473

ft2

oAPI

oF

oF

ln (mg/m1*Tpr)

149 3.14 1.57 0.917849152 3.31 1.58 0.950667156 3.48 1.58 0.982879159 3.65 1.59 1.014456163 3.82 1.60 1.045379166 3.99 1.61 1.075635170 4.16 1.62 1.105213173 4.33 1.63 1.134105177 4.51 1.64 1.162305180 4.68 1.65 1.189809

Tpc=169.0+314.0* = 388.8

Ppc=708.75-57.5*S = 668.36 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

2.27045165607 ft/s 0.00441

0.08393

228145.033537 lbm/day -0.1864

4.55 cp 0.02033

-0.0006095

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

(cp) (cp)0.010392 0.009344 0.72 0.04014 7.2771 -44.43 4.2104 0.01250.010446 0.009671 0.71543147 0.039762 7.2413 -43.55 4.1975 0.01590.010500 0.010024 0.71092055 0.039389 7.2060 -42.69 4.1848 0.02120.010554 0.010409 0.70646617 0.039021 7.1712 -41.85 4.1722 0.02610.010608 0.010822 0.70206725 0.038657 7.1367 -41.03 4.1598 0.03140.010662 0.011261 0.69772277 0.038297 7.1027 -40.22 4.1476 0.03690.010716 0.011726 0.69343173 0.037943 7.0691 -39.43 4.1355 0.04270.010770 0.012217 0.68919315 0.037593 7.0359 -38.65 4.1235 0.04830.010824 0.012732 0.68500608 0.037247 7.0031 -37.89 4.1117 0.05460.010878 0.013272 0.68086957 0.036906 6.9707 -37.14 4.1001 0.06090.010932 0.013835 0.67678271 0.036569 6.9386 -36.41 4.0885 0.06740.010986 0.014423 0.67274463 0.036236 6.9070 -35.69 4.0771 0.07390.011040 0.015033 0.66875445 0.035908 6.8757 -34.98 4.0659 0.08050.011094 0.015667 0.66481132 0.035584 6.8447 -34.29 4.0548 0.08710.011148 0.016322 0.66091442 0.035264 6.8141 -33.61 4.0438 0.09360.011202 0.016999 0.65706294 0.034948 6.7838 -32.94 4.0329 0.10010.011256 0.017697 0.65325608 0.034636 6.7538 -32.29 4.0222 0.10650.011310 0.018415 0.64949309 0.034328 6.7242 -31.64 4.0116 0.11270.011364 0.019152 0.6457732 0.034025 6.6949 -31.01 4.0011 0.11870.011417 0.019908 0.64209567 0.033725 6.6659 -30.39 3.9907 0.1235

oR

a0

a1

a2

a3

a4

a5

a6

a7

a8

a9

a10

usl = a11

a12

a13

a14

a15

0.011471 0.020681 0.6384598 0.033429 6.6372 -29.79 3.9805 0.13000.011525 0.021471 0.63486486 0.033136 6.6088 -29.19 3.9703 0.13560.011579 0.022278 0.63131019 0.032848 6.5806 -28.60 3.9603 0.14080.011633 0.023100 0.6277951 0.032563 6.5528 -28.03 3.9504 0.14560.011687 0.023936 0.62431894 0.032282 6.5253 -27.46 3.9406 0.15030.011741 0.024785 0.62088106 0.032004 6.4980 -26.90 3.9309 0.15460.011795 0.025646 0.61748083 0.03173 6.4710 -26.36 3.9213 0.15870.011849 0.026519 0.61411765 0.03146 6.4443 -25.82 3.9118 0.16260.011903 0.027402 0.6107909 0.031193 6.4178 -25.30 3.9024 0.16630.011957 0.028293 0.6075 0.030929 6.3916 -24.78 3.8932 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)-3.57E-05 0.963566 2.2304 4.500852 5.070201 4.980761 26.68122 0.020699 0.002745-0.00074 0.997504 1.742411 4.012862 5.070201 3.89102 26.68122 0.020699 0.002745-6.17E-05 0.939399 1.303094 3.573545 5.070201 2.90997 26.68122 0.020699 0.002745-5.11E-05 0.925825 1.053695 3.324147 5.070201 2.353033 26.68122 0.020699 0.002745-3.72E-05 0.912438 0.874869 3.14532 5.070201 1.953691 26.68122 0.020699 0.002745-4.89E-05 0.900227 0.742327 3.012779 5.070201 1.657709 26.68122 0.020699 0.002745-2.59E-05 0.887394 0.639784 2.910235 5.070201 1.428716 26.68122 0.020699 0.002745-0.000295 0.882067 0.563558 2.83401 5.070201 1.258495 26.68122 0.020699 0.002745-0.00014 0.867134 0.496566 2.767018 5.070201 1.108894 26.68122 0.020699 0.002745

-0.000122 0.856252 0.443623 2.714075 5.070201 0.990666 26.68122 0.020699 0.002745-0.000103 0.846296 0.399916 2.670368 5.070201 0.893062 26.68122 0.020699 0.002745-8.47E-05 0.837325 0.363423 2.633875 5.070201 0.811569 26.68122 0.020699 0.002745-5.77E-05 0.829279 0.332617 2.603069 5.070201 0.742775 26.68122 0.020699 0.002745-5.61E-05 0.822686 0.306578 2.57703 5.070201 0.684627 26.68122 0.020699 0.002745-3.68E-05 0.816971 0.284219 2.55467 5.070201 0.634696 26.68122 0.020699 0.002745

-2E-05 0.812446 0.264992 2.535444 5.070201 0.59176 26.68122 0.020699 0.002745-7.39E-06 0.809118 0.248375 2.518826 5.070201 0.554651 26.68122 0.020699 0.0027451.591E-06 0.806977 0.233947 2.504398 5.070201 0.522432 26.68122 0.020699 0.0027456.183E-06 0.805999 0.221368 2.49182 5.070201 0.494343 26.68122 0.020699 0.002745-0.000782 0.81307 0.212166 2.482618 5.070201 0.473794 26.68122 0.020699 0.002745

usg um Nvl Nvg ND NL CNL

-0.000111 0.80828 0.200928 2.47138 5.070201 0.448698 26.68122 0.020699 0.0027450.000118 0.80862 0.191944 2.462395 5.070201 0.428634 26.68122 0.020699 0.0027450.000144 0.811553 0.184353 2.454804 5.070201 0.411682 26.68122 0.020699 0.0027450.000166 0.815373 0.177614 2.448066 5.070201 0.396635 26.68122 0.020699 0.0027450.000186 0.820008 0.171612 2.442064 5.070201 0.383231 26.68122 0.020699 0.0027450.000202 0.825383 0.166247 2.436698 5.070201 0.37125 26.68122 0.020699 0.0027450.000214 0.831423 0.161434 2.431886 5.070201 0.360502 26.68122 0.020699 0.0027450.000223 0.838059 0.157101 2.427553 5.070201 0.350827 26.68122 0.020699 0.0027450.000228 0.845224 0.153187 2.423639 5.070201 0.342087 26.68122 0.020699 0.0027450.000231 0.852856 0.14964 2.420091 5.070201 0.334164 26.68122 0.020699 0.002745

-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

0.000269 0.509331 0.001012 -1.000000 0.012000 0.9951640.000319 0.545702 0.000791 -1.000000 0.012000 0.9951640.000386 0.587378 0.000591 -1.000000 0.012000 0.9951640.000445 0.619033 0.000478 -1.000000 0.012000 0.9951640.000505 0.646922 0.000397 -1.000000 0.012000 0.9951640.000563 0.671609 0.000337 -1.000000 0.012000 0.9951640.000622 0.693871 0.000290 -1.000000 0.012000 0.9951640.000678 0.712939 0.000256 -1.000000 0.012000 0.9951640.000737 0.731585 0.000225 -1.000000 0.012000 0.9951640.000795 0.748121 0.000201 -1.000000 0.012000 0.9951640.000852 0.763187 0.000181 -1.000000 0.012000 0.9951640.000909 0.776943 0.000165 -1.000000 0.012000 0.9951640.000965 0.789535 0.000151 -1.000000 0.012000 0.9951640.001019 0.801004 0.000139 -1.000000 0.012000 0.9951640.001072 0.811534 0.000129 -1.000000 0.012000 0.9951640.001124 0.821168 0.000120 -1.000000 0.012000 0.9951640.001175 0.829982 0.000113 -1.000000 0.012000 0.9951640.001223 0.838044 0.000106 -1.000000 0.012000 0.9951640.001270 0.845419 0.000100 -1.000000 0.012000 0.9951640.001309 0.851224 0.000096 -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

0.001358 0.858209 0.000091 -1.000000 0.012000 0.9951640.001402 0.864114 0.000087 -1.000000 0.012000 0.9951640.001442 0.869325 0.000084 -1.000000 0.012000 0.9951640.001480 0.874105 0.000081 -1.000000 0.012000 0.9951640.001516 0.878495 0.000078 -1.000000 0.012000 0.9951640.001551 0.882533 0.000075 -1.000000 0.012000 0.9951640.001584 0.886254 0.000073 -1.000000 0.012000 0.9951640.001616 0.889688 0.000071 -1.000000 0.012000 0.9951640.001646 0.892865 0.000070 -1.000000 0.012000 0.9951640.001674 0.895809 0.000068 -1.000000 0.012000 0.995164

f dp/dz

(psi/ft)0.5069 11,694 0.007664 0.726443 27.16548 0.1994810.5431 9,202 0.008117 0.929895 29.14645 0.2130990.5845 7,023 0.008687 1.243395 31.43162 0.2288860.6160 5,709 0.00917 1.537692 33.17153 0.2409720.6438 4,756 0.009633 1.852003 34.7087 0.2516880.6684 4,046 0.010073 2.182676 36.07218 0.2612230.6905 3,499 0.010497 2.532512 37.30378 0.2698580.7095 3,087 0.010883 2.875054 38.35884 0.2772740.7280 2,735 0.011278 3.262929 39.39239 0.284550.7445 2,457 0.011646 3.652331 40.30848 0.2910120.7595 2,229 0.011995 4.051501 41.14271 0.2969070.7732 2,039 0.012327 4.45833 41.90351 0.3022910.7857 1,881 0.012641 4.871245 42.59886 0.3072180.7971 1,747 0.012937 5.284981 43.23083 0.3117030.8076 1,634 0.013216 5.700746 43.80967 0.3158160.8172 1,536 0.013478 6.11437 44.33769 0.3195720.8260 1,453 0.013724 6.523453 44.81914 0.3230.8340 1,380 0.013954 6.925762 45.25792 0.3261290.8413 1,317 0.014168 7.319298 45.65769 0.3289810.8471 1,269 0.014344 7.636738 45.96946 0.331213

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

0.8541 1,215 0.014551 8.063867 46.34636 0.3339040.8599 1,171 0.014731 8.441327 46.66263 0.3361670.8651 1,133 0.014893 8.788913 46.94002 0.3381540.8699 1,100 0.015044 9.122346 47.19318 0.3399690.8742 1,070 0.015184 9.441404 47.42452 0.3416290.8783 1,043 0.015315 9.74611 47.6362 0.343150.8820 1,019 0.015436 10.03668 47.83023 0.3445450.8854 997 0.015549 10.31347 48.00842 0.3458270.8885 978 0.015655 10.57698 48.17238 0.3470080.8915 960 0.015754 10.82774 48.32357 0.348097