100 200 300 400 500 600 700 800 900 1,0000

500

1,000

1,500

2,000

2,500

3,000

3,500

Pressure (psia)D

ep

th (

ft)

1 2 3 4 5 6 70

100

200

300

400

500

600

700

800

900

1,000

Pressure (MPa)D

ep

th (

m)

HagedornBrownCorrelation.xls

Input Data 1 0

Depth (D): 3,000 ft 3000.00 m

3.958 in. 0.0500 m

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

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

Production GLR (GLR): 223.65 scf/bbl 90

0.8 air =1 0.709 air =1

200 psia 5.00 MPa

80 80.00

200 90.00

11000 stb/day 300.00

Water cut (WC): 18 % 0 %

30 dynes/cm 0.030 N/m

1.07 1.076

Depth Pressure

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

103 32 222 1.51207 63 244 1.66310 95 267 1.81414 126 289 1.97517 158 312 2.13621 189 336 2.28724 221 359 2.45828 252 383 2.61931 284 408 2.77

1,034 315 432 2.941,138 347 457 3.111,241 378 482 3.281,345 410 507 3.451,448 442 532 3.621,552 473 558 3.791,655 505 583 3.971,759 536 609 4.151,862 568 636 4.32

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

1,966 599 662 4.502,069 631 688 4.682,172 662 715 4.872,276 694 742 5.052,379 725 769 5.232,483 757 797 5.422,586 788 824 5.612,690 820 852 5.792,793 852 879 5.982,897 883 907 6.173,000 915 935 6.36

0

1

3,000 ft

3.958 in. Aera = 0.085

35 S.G. = 0.85

5 cp

224 scf/bbl Gas = ### scf/day

0.8 air =1

200 psia

80

200

11,000 stb/day Liquid= 0.889 S.G.

18 % qw = 1980 bbl/day

30 dynes/cm Mass flow rate =

1.07 Liquid viscosity =

Temp. Ppr Tpr

(oF)80 0.30 1.29 0.12827984 0.34 1.29 0.14049188 0.37 1.30 0.15279692 0.40 1.31 0.16518097 0.44 1.32 0.177616

101 0.47 1.33 0.190153105 0.51 1.34 0.202843109 0.54 1.35 0.215563113 0.58 1.36 0.228406117 0.62 1.37 0.241319121 0.65 1.38 0.254296126 0.69 1.39 0.267332130 0.73 1.40 0.280421134 0.76 1.41 0.293560138 0.80 1.42 0.306743142 0.84 1.43 0.319965146 0.88 1.44 0.333223150 0.92 1.45 0.346511154 0.96 1.46 0.359826

ft2

oAPI

oF

oF

ln (mg/m1*Tpr)

159 1.00 1.47 0.373164163 1.04 1.48 0.386520167 1.08 1.49 0.399891171 1.12 1.50 0.413272175 1.16 1.51 0.426661179 1.20 1.52 0.440053183 1.24 1.53 0.453446188 1.29 1.54 0.466835192 1.33 1.55 0.480219196 1.37 1.56 0.493593200 1.41 1.57 0.506954

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

8.37085769351 ft/s 0.00441

0.08393

3578726.03234 lbm/day -0.1864

4.19 cp 0.02033

-0.0006095

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

(cp) (cp)0.010019 0.008864 0.77814815 0.044928 7.7336 -56.10 4.3744 0.01420.010083 0.009030 0.77223067 0.044444 7.6870 -54.87 4.3577 0.01560.010147 0.009199 0.76640252 0.043967 7.6411 -53.66 4.3413 0.01680.010211 0.009373 0.76066167 0.043496 7.5959 -52.49 4.3251 0.01780.010275 0.009549 0.7550062 0.04303 7.5515 -51.34 4.3091 0.01930.010339 0.009730 0.74943419 0.042572 7.5077 -50.21 4.2934 0.02160.010403 0.009915 0.74394383 0.042119 7.4647 -49.11 4.2779 0.02240.010466 0.010104 0.73853333 0.041672 7.4223 -48.04 4.2627 0.02450.010530 0.010297 0.73320096 0.041232 7.3805 -46.99 4.2476 0.02600.010594 0.010494 0.72794504 0.040797 7.3393 -45.96 4.2328 0.02740.010658 0.010695 0.72276394 0.040369 7.2987 -44.96 4.2182 0.02880.010722 0.010900 0.71765607 0.039946 7.2587 -43.98 4.2038 0.03020.010786 0.011110 0.71261988 0.03953 7.2193 -43.02 4.1896 0.03160.010850 0.011323 0.70765389 0.039119 7.1805 -42.08 4.1756 0.03300.010914 0.011541 0.70275663 0.038714 7.1421 -41.16 4.1618 0.03440.010978 0.011763 0.69792669 0.038314 7.1043 -40.26 4.1482 0.03570.011041 0.011990 0.69316268 0.037921 7.0670 -39.38 4.1347 0.03710.011105 0.012220 0.68846328 0.037532 7.0302 -38.52 4.1215 0.03840.011169 0.012455 0.68382716 0.03715 6.9939 -37.68 4.1084 0.0397

oR

a0

a1

a2

a3

a4

a5

a6

a7

a8

a9

a10

usl = a11

a12

a13

a14

a15

0.011233 0.012695 0.67925307 0.036772 6.9580 -36.85 4.0955 0.04100.011297 0.012939 0.67473976 0.036401 6.9226 -36.04 4.0828 0.04230.011361 0.013187 0.67028603 0.036034 6.8877 -35.25 4.0702 0.04360.011425 0.013440 0.66589071 0.035672 6.8532 -34.48 4.0578 0.04480.011489 0.013697 0.66155266 0.035316 6.8191 -33.72 4.0456 0.04600.011553 0.013959 0.65727077 0.034965 6.7854 -32.98 4.0335 0.04720.011617 0.014225 0.65304394 0.034619 6.7522 -32.25 4.0216 0.04840.011680 0.014497 0.64887114 0.034278 6.7193 -31.54 4.0098 0.04960.011744 0.014772 0.64475132 0.033941 6.6868 -30.84 3.9982 0.05070.011808 0.015053 0.64068349 0.03361 6.6547 -30.16 3.9867 0.05180.011872 0.015338 0.63666667 0.033283 6.6230 -29.49 3.9754 0.0529

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)-4.6E-05 0.952095 24.22965 32.60051 18.92009 54.76467 54.22746 0.018833 0.002636

-0.000151 0.954626 22.05583 30.42668 18.92009 49.85132 54.22746 0.018833 0.002636-0.000371 0.963677 20.38995 28.7608 18.92009 46.08603 54.22746 0.018833 0.002636-0.000814 0.985085 19.22848 27.59934 18.92009 43.46086 54.22746 0.018833 0.002636-0.000715 0.97208 17.61697 25.98783 18.92009 39.81847 54.22746 0.018833 0.002636-5.78E-06 0.929171 15.71555 24.08641 18.92009 35.52081 54.22746 0.018833 0.002636-0.000548 0.951749 15.0865 23.45735 18.92009 34.099 54.22746 0.018833 0.002636-4.64E-06 0.922328 13.76137 22.13223 18.92009 31.10391 54.22746 0.018833 0.002636-5.91E-06 0.91923 12.95279 21.32365 18.92009 29.27634 54.22746 0.018833 0.002636-7.31E-06 0.916298 12.23322 20.60408 18.92009 27.64993 54.22746 0.018833 0.002636-8.78E-06 0.913529 11.58915 19.96 18.92009 26.19417 54.22746 0.018833 0.002636

-1E-05 0.910919 11.00966 19.38052 18.92009 24.8844 54.22746 0.018833 0.002636-1.19E-05 0.908468 10.48585 18.85671 18.92009 23.70048 54.22746 0.018833 0.002636

-1E-05 0.906066 10.0092 18.38006 18.92009 22.62313 54.22746 0.018833 0.002636-1.16E-05 0.903916 9.575894 17.94675 18.92009 21.64375 54.22746 0.018833 0.002636-1.29E-05 0.901917 9.179663 17.55052 18.92009 20.74818 54.22746 0.018833 0.002636-1.42E-05 0.900065 8.816152 17.18701 18.92009 19.92656 54.22746 0.018833 0.002636-1.55E-05 0.898358 8.48166 16.85252 18.92009 19.17053 54.22746 0.018833 0.002636-5.4E-06 0.896475 8.170145 16.541 18.92009 18.46643 54.22746 0.018833 0.002636

usg um Nvl Nvg ND NL CNL

-5.73E-06 0.895032 7.884581 16.25544 18.92009 17.82099 54.22746 0.018833 0.002636-6E-06 0.893725 7.619791 15.99065 18.92009 17.22251 54.22746 0.018833 0.002636

-6.32E-06 0.89255 7.373715 15.74457 18.92009 16.66632 54.22746 0.018833 0.002636-6.58E-06 0.891504 7.144554 15.51541 18.92009 16.14836 54.22746 0.018833 0.002636-6.81E-06 0.890583 6.930725 15.30158 18.92009 15.66505 54.22746 0.018833 0.002636

-7E-06 0.889785 6.730835 15.10169 18.92009 15.21326 54.22746 0.018833 0.002636-7.19E-06 0.889105 6.543651 14.91451 18.92009 14.79018 54.22746 0.018833 0.002636-7.34E-06 0.88854 6.368077 14.73894 18.92009 14.39334 54.22746 0.018833 0.002636-7.45E-06 0.888087 6.203138 14.574 18.92009 14.02054 54.22746 0.018833 0.002636-7.54E-06 0.887743 6.047961 14.41882 18.92009 13.6698 54.22746 0.018833 0.002636-7.59E-06 0.887503 5.901765 14.27262 18.92009 13.33937 54.22746 0.018833 0.002636

-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

0.000120 0.355448 0.002354 -1.000000 0.012000 0.9951640.000127 0.366280 0.002142 -1.000000 0.012000 0.9951640.000135 0.375680 0.001981 -1.000000 0.012000 0.9951640.000140 0.383119 0.001868 -1.000000 0.012000 0.9951640.000149 0.393532 0.001711 -1.000000 0.012000 0.9951640.000160 0.406874 0.001527 -1.000000 0.012000 0.9951640.000165 0.412557 0.001465 -1.000000 0.012000 0.9951640.000175 0.423749 0.001337 -1.000000 0.012000 0.9951640.000183 0.431608 0.001258 -1.000000 0.012000 0.9951640.000190 0.439117 0.001188 -1.000000 0.012000 0.9951640.000197 0.446305 0.001126 -1.000000 0.012000 0.9951640.000204 0.453193 0.001069 -1.000000 0.012000 0.9951640.000211 0.459803 0.001019 -1.000000 0.012000 0.9951640.000218 0.466166 0.000972 -1.000000 0.012000 0.9951640.000225 0.472274 0.000930 -1.000000 0.012000 0.9951640.000231 0.478153 0.000892 -1.000000 0.012000 0.9951640.000238 0.483817 0.000856 -1.000000 0.012000 0.9951640.000244 0.489277 0.000824 -1.000000 0.012000 0.9951640.000251 0.494588 0.000794 -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

0.000257 0.499677 0.000766 -1.000000 0.012000 0.9951640.000263 0.504592 0.000740 -1.000000 0.012000 0.9951640.000269 0.509344 0.000716 -1.000000 0.012000 0.9951640.000275 0.513939 0.000694 -1.000000 0.012000 0.9951640.000281 0.518386 0.000673 -1.000000 0.012000 0.9951640.000287 0.522690 0.000654 -1.000000 0.012000 0.9951640.000292 0.526859 0.000636 -1.000000 0.012000 0.9951640.000298 0.530898 0.000619 -1.000000 0.012000 0.9951640.000303 0.534812 0.000603 -1.000000 0.012000 0.9951640.000309 0.538609 0.000587 -1.000000 0.012000 0.9951640.000314 0.542291 0.000573 -1.000000 0.012000 0.995164

f dp/dz

(psi/ft)0.3537 254,086 0.004753 0.840223 20.17617 0.2125130.3645 234,978 0.00478 0.923036 20.81802 0.2151440.3739 219,290 0.004806 0.998449 21.37582 0.2175440.3813 207,169 0.004828 1.058758 21.81662 0.219520.3916 192,276 0.004858 1.155608 22.43973 0.2223730.4049 175,388 0.004898 1.295425 23.24457 0.2261810.4106 167,601 0.004918 1.34944 23.58297 0.2278680.4217 154,988 0.004955 1.479381 24.26126 0.2312520.4295 146,263 0.004983 1.571732 24.73646 0.23370.4370 138,356 0.005012 1.664183 25.19155 0.2360870.4441 131,162 0.00504 1.756671 25.62804 0.2384150.4510 124,595 0.005068 1.849132 26.04724 0.2406830.4576 118,581 0.005096 1.941503 26.45028 0.2428950.4639 113,048 0.005124 2.03396 26.83905 0.2450540.4700 107,961 0.005151 2.125996 27.21283 0.2471540.4758 103,264 0.005178 2.217763 27.57322 0.2492010.4815 98,918 0.005205 2.309207 27.92097 0.2511950.4869 94,887 0.005232 2.400275 28.25675 0.2531380.4922 91,119 0.005259 2.491794 28.58385 0.255046

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

0.4973 87,631 0.005285 2.582041 28.89769 0.2568920.5022 84,376 0.005312 2.671768 29.20126 0.2586920.5069 81,335 0.005338 2.760931 29.49505 0.2604450.5115 78,489 0.005363 2.849487 29.77951 0.2621550.5159 75,820 0.005389 2.937401 30.05505 0.2638210.5202 73,315 0.005414 3.024635 30.32207 0.2654460.5243 70,959 0.005439 3.111156 30.58093 0.2670290.5283 68,741 0.005464 3.196933 30.83198 0.2685740.5322 66,650 0.005488 3.281938 31.07553 0.270080.5360 64,677 0.005512 3.366145 31.31188 0.2715480.5397 62,812 0.005536 3.44953 31.54133 0.272981