Hagedorn Brown Correlation [PDF]

Citation preview

Pressure (psia) 0 0 500



Depth (ft)



1,000 1,500 2,000 2,500 3,000 3,500



100



200



300



400



500



600



700



800



900 1,000



Pressure (MPa) 0 0 100 200



Depth (m)



300 400 500 600 700 800 900



1,000



1



2



3



4



5



6



7



HagedornBrownCorrelation.xls 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.



Input Data



1 Depth (D): Tubing inner diameter (dti):



3,000 ft 3.958 in. o 35 API



Oil gravity (API): Oil viscosity (cp):



5 cp



Production GLR (GLR): Gas specific gravity (gg):



scf/bbl 223.65 0.8 air =1



Flowing tubing head pressure (phf):



0 3000.00 m 0.0500 m 0.80 S.G. 0.0020 Pa-s 3 3 90 sm /m 0.709 air =1



Flowing tubing head temperature (thf):



200 psia o 80 F



5.00 MPa o 80.00 C



Flowing temperature at tubing shoe (twf):



o 200 F



90.00



Liquid production rate (qL):



11000 stb/day



Water cut (WC): Interfacial tension (s): Specific gravity of water (gw):



1.07 H2O=1



Depth (ft) 0 103 207 310 414 517 621 724 828 931 1,034 1,138 1,241 1,345 1,448 1,552 1,655 1,759 1,862 1,966



C



3 300.00 sm /day



18 % 30 dynes/cm



o



0 % 0.030 N/m 1.076



Pressure (m) 0 32 63 95 126 158 189 221 252 284 315 347 378 410 442 473 505 536 568 599



(psia) 200 222 244 267 289 312 336 359 383 408 432 457 482 507 532 558 583 609 636 662



(MPa) 1.36 1.51 1.66 1.81 1.97 2.13 2.28 2.45 2.61 2.77 2.94 3.11 3.28 3.45 3.62 3.79 3.97 4.15 4.32 4.50



2,069 2,172 2,276 2,379 2,483 2,586 2,690 2,793 2,897 3,000



631 662 694 725 757 788 820 852 883 915



688 715 742 769 797 824 852 879 907 935



4.68 4.87 5.05 5.23 5.42 5.61 5.79 5.98 6.17 6.36



0



1



3,000 ft 3.958 in. o 35 API



Aera = S.G. =



2 0.085 ft



e=



0.85



5 cp 224 scf/bbl



Gas =



2E+06 scf/day



0.8 air =1 200 psia o 80 F 200



o



F



11,000 stb/day



usl =



Liquid=



0.889 S.G.



18 %



qw =



1980 bbl/day



30 dynes/cm



Mass flow rate =



3578726.032



Liquid viscosity =



4.19



1.07



Temp.



Ppr



Tpr



(oF) 80 84 88 92 97 101 105 109 113 117 121 126 130 134 138 142 146 150 154 159



0.30 0.34 0.37 0.40 0.44 0.47 0.51 0.54 0.58 0.62 0.65 0.69 0.73 0.76 0.80 0.84 0.88 0.92 0.96 1.00



1.29 1.29 1.30 1.31 1.32 1.33 1.34 1.35 1.36 1.37 1.38 1.39 1.40 1.41 1.42 1.43 1.44 1.45 1.46 1.47



ln (mg/m1*Tpr) Base Viscosity 0.128279 0.140491 0.152796 0.165180 0.177616 0.190153 0.202843 0.215563 0.228406 0.241319 0.254296 0.267332 0.280421 0.293560 0.306743 0.319965 0.333223 0.346511 0.359826 0.373164



(cp) 0.010019 0.010083 0.010147 0.010211 0.010275 0.010339 0.010403 0.010466 0.010530 0.010594 0.010658 0.010722 0.010786 0.010850 0.010914 0.010978 0.011041 0.011105 0.011169 0.011233



163 167 171 175 179 183 188 192 196 200



1.04 1.08 1.12 1.16 1.20 1.24 1.29 1.33 1.37 1.41



1.48 1.49 1.50 1.51 1.52 1.53 1.54 1.55 1.56 1.57



0.386520 0.399891 0.413272 0.426661 0.440053 0.453446 0.466835 0.480219 0.493593 0.506954



0.011297 0.011361 0.011425 0.011489 0.011553 0.011617 0.011680 0.011744 0.011808 0.011872



Tpc=169.0+314.0*SGFG



=



Ppc=708.75-57.5*SGFG



=



0.0006



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



lbm/day



a13



-0.1864



cp



a14



0.02033



8.370857694 ft/s



420.2



o



R



662.59 psia



a15 -0.0006095 Gas Viscosity



t=1/Tpr



A



B



C



D



Y



F



z



(cp) 0.008864 0.009030 0.009199 0.009373 0.009549 0.009730 0.009915 0.010104 0.010297 0.010494 0.010695 0.010900 0.011110 0.011323 0.011541 0.011763 0.011990 0.012220 0.012455 0.012695



0.77814815 0.77223067 0.76640252 0.76066167 0.7550062 0.74943419 0.74394383 0.73853333 0.73320096 0.72794504 0.72276394 0.71765607 0.71261988 0.70765389 0.70275663 0.69792669 0.69316268 0.68846328 0.68382716 0.67925307



0.044928 0.044444 0.043967 0.043496 0.04303 0.042572 0.042119 0.041672 0.041232 0.040797 0.040369 0.039946 0.03953 0.039119 0.038714 0.038314 0.037921 0.037532 0.03715 0.036772



7.7336 7.6870 7.6411 7.5959 7.5515 7.5077 7.4647 7.4223 7.3805 7.3393 7.2987 7.2587 7.2193 7.1805 7.1421 7.1043 7.0670 7.0302 6.9939 6.9580



-56.10 -54.87 -53.66 -52.49 -51.34 -50.21 -49.11 -48.04 -46.99 -45.96 -44.96 -43.98 -43.02 -42.08 -41.16 -40.26 -39.38 -38.52 -37.68 -36.85



4.3744 4.3577 4.3413 4.3251 4.3091 4.2934 4.2779 4.2627 4.2476 4.2328 4.2182 4.2038 4.1896 4.1756 4.1618 4.1482 4.1347 4.1215 4.1084 4.0955



0.0142 0.0156 0.0168 0.0178 0.0193 0.0216 0.0224 0.0245 0.0260 0.0274 0.0288 0.0302 0.0316 0.0330 0.0344 0.0357 0.0371 0.0384 0.0397 0.0410



-4.6E-05 -0.00015 -0.00037 -0.00081 -0.00072 -5.8E-06 -0.00055 -4.6E-06 -5.9E-06 -7.3E-06 -8.8E-06 -1E-05 -1.2E-05 -1E-05 -1.2E-05 -1.3E-05 -1.4E-05 -1.5E-05 -5.4E-06 -5.7E-06



0.952095 0.954626 0.963677 0.985085 0.97208 0.929171 0.951749 0.922328 0.91923 0.916298 0.913529 0.910919 0.908468 0.906066 0.903916 0.901917 0.900065 0.898358 0.896475 0.895032



0.012939 0.013187 0.013440 0.013697 0.013959 0.014225 0.014497 0.014772 0.015053 0.015338



0.67473976 0.67028603 0.66589071 0.66155266 0.65727077 0.65304394 0.64887114 0.64475132 0.64068349 0.63666667



0.036401 0.036034 0.035672 0.035316 0.034965 0.034619 0.034278 0.033941 0.03361 0.033283



6.9226 6.8877 6.8532 6.8191 6.7854 6.7522 6.7193 6.6868 6.6547 6.6230



-36.04 -35.25 -34.48 -33.72 -32.98 -32.25 -31.54 -30.84 -30.16 -29.49



4.0828 4.0702 4.0578 4.0456 4.0335 4.0216 4.0098 3.9982 3.9867 3.9754



0.0423 0.0436 0.0448 0.0460 0.0472 0.0484 0.0496 0.0507 0.0518 0.0529



-6E-06 -6.3E-06 -6.6E-06 -6.8E-06 -7E-06 -7.2E-06 -7.3E-06 -7.5E-06 -7.5E-06 -7.6E-06



0.893725 0.89255 0.891504 0.890583 0.889785 0.889105 0.88854 0.888087 0.887743 0.887503



a1



-2.698510E+00



a2



1.584095E-01



a3



-5.509976E-01



a4



5.478492E-01



a5



-1.219458E-01



usg



um



Nvl



Nvg



ND



NL



(ft/s) 24.22965 22.05583 20.38995 19.22848 17.61697 15.71555 15.0865 13.76137 12.95279 12.23322 11.58915 11.00966 10.48585 10.0092 9.575894 9.179663 8.816152 8.48166 8.170145 7.884581



(ft/s) 32.60051 30.42668 28.7608 27.59934 25.98783 24.08641 23.45735 22.13223 21.32365 20.60408 19.96 19.38052 18.85671 18.38006 17.94675 17.55052 17.18701 16.85252 16.541 16.25544



18.92009 18.92009 18.92009 18.92009 18.92009 18.92009 18.92009 18.92009 18.92009 18.92009 18.92009 18.92009 18.92009 18.92009 18.92009 18.92009 18.92009 18.92009 18.92009 18.92009



54.76467 49.85132 46.08603 43.46086 39.81847 35.52081 34.099 31.10391 29.27634 27.64993 26.19417 24.8844 23.70048 22.62313 21.64375 20.74818 19.92656 19.17053 18.46643 17.82099



54.22746 54.22746 54.22746 54.22746 54.22746 54.22746 54.22746 54.22746 54.22746 54.22746 54.22746 54.22746 54.22746 54.22746 54.22746 54.22746 54.22746 54.22746 54.22746 54.22746



0.018833 0.018833 0.018833 0.018833 0.018833 0.018833 0.018833 0.018833 0.018833 0.018833 0.018833 0.018833 0.018833 0.018833 0.018833 0.018833 0.018833 0.018833 0.018833 0.018833



CNL 0.002636 0.002636 0.002636 0.002636 0.002636 0.002636 0.002636 0.002636 0.002636 0.002636 0.002636 0.002636 0.002636 0.002636 0.002636 0.002636 0.002636 0.002636 0.002636 0.002636



7.619791 7.373715 7.144554 6.930725 6.730835 6.543651 6.368077 6.203138 6.047961 5.901765



15.99065 15.74457 15.51541 15.30158 15.10169 14.91451 14.73894 14.574 14.41882 14.27262



18.92009 18.92009 18.92009 18.92009 18.92009 18.92009 18.92009 18.92009 18.92009 18.92009



17.22251 16.66632 16.14836 15.66505 15.21326 14.79018 14.39334 14.02054 13.6698 13.33937



54.22746 54.22746 54.22746 54.22746 54.22746 54.22746 54.22746 54.22746 54.22746 54.22746



0.018833 0.018833 0.018833 0.018833 0.018833 0.018833 0.018833 0.018833 0.018833 0.018833



0.002636 0.002636 0.002636 0.002636 0.002636 0.002636 0.002636 0.002636 0.002636 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



N vg N N vl  p    N vg0.575  p st 



0 .1



0.000120 0.000127 0.000135 0.000140 0.000149 0.000160 0.000165 0.000175 0.000183 0.000190 0.000197 0.000204 0.000211 0.000218 0.000225 0.000231 0.000238 0.000244 0.000251 0.000257



CN L ND



N D2.14



N vg N L0.38 yL/j



N D2.14



0.355448 0.366280 0.375680 0.383119 0.393532 0.406874 0.412557 0.423749 0.431608 0.439117 0.446305 0.453193 0.459803 0.466166 0.472274 0.478153 0.483817 0.489277 0.494588 0.499677



0.002354 0.002142 0.001981 0.001868 0.001711 0.001527 0.001465 0.001337 0.001258 0.001188 0.001126 0.001069 0.001019 0.000972 0.000930 0.000892 0.000856 0.000824 0.000794 0.000766



0.38 L



Index: -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



Modified: 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



j 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



0.000263 0.000269 0.000275 0.000281 0.000287 0.000292 0.000298 0.000303 0.000309 0.000314



0.504592 0.509344 0.513939 0.518386 0.522690 0.526859 0.530898 0.534812 0.538609 0.542291



0.000740 0.000716 0.000694 0.000673 0.000654 0.000636 0.000619 0.000603 0.000587 0.000573



-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



0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164



yL



NRe



f



Average r



rg 3



0.3537 0.3645 0.3739 0.3813 0.3916 0.4049 0.4106 0.4217 0.4295 0.4370 0.4441 0.4510 0.4576 0.4639 0.4700 0.4758 0.4815 0.4869 0.4922 0.4973



254,086 234,978 219,290 207,169 192,276 175,388 167,601 154,988 146,263 138,356 131,162 124,595 118,581 113,048 107,961 103,264 98,918 94,887 91,119 87,631



0.004753 0.00478 0.004806 0.004828 0.004858 0.004898 0.004918 0.004955 0.004983 0.005012 0.00504 0.005068 0.005096 0.005124 0.005151 0.005178 0.005205 0.005232 0.005259 0.005285



(lbm/ft ) 0.840223 0.923036 0.998449 1.058758 1.155608 1.295425 1.34944 1.479381 1.571732 1.664183 1.756671 1.849132 1.941503 2.03396 2.125996 2.217763 2.309207 2.400275 2.491794 2.582041



3



(lbm/ft ) 20.17617 20.81802 21.37582 21.81662 22.43973 23.24457 23.58297 24.26126 24.73646 25.19155 25.62804 26.04724 26.45028 26.83905 27.21283 27.57322 27.92097 28.25675 28.58385 28.89769



dp/dz (psi/ft) 0.212513 0.215144 0.217544 0.21952 0.222373 0.226181 0.227868 0.231252 0.2337 0.236087 0.238415 0.240683 0.242895 0.245054 0.247154 0.249201 0.251195 0.253138 0.255046 0.256892



0.5022 0.5069 0.5115 0.5159 0.5202 0.5243 0.5283 0.5322 0.5360 0.5397



84,376 81,335 78,489 75,820 73,315 70,959 68,741 66,650 64,677 62,812



0.005312 0.005338 0.005363 0.005389 0.005414 0.005439 0.005464 0.005488 0.005512 0.005536



2.671768 2.760931 2.849487 2.937401 3.024635 3.111156 3.196933 3.281938 3.366145 3.44953



29.20126 29.49505 29.77951 30.05505 30.32207 30.58093 30.83198 31.07553 31.31188 31.54133



0.258692 0.260445 0.262155 0.263821 0.265446 0.267029 0.268574 0.27008 0.271548 0.272981