Pressure (psia) 0
500
1,000
1,500
2,000
2,500
3,000
3,500
0 2,000 4,000 ) t f ( h t 6,000 p e D 8,000 10,000 12,000
Pressure (MPa) 0 0 500 1,000 ) m 1,500 ( h t p e 2,000 D
5
10
15
20
25
Pressure (MPa) 0
5
10
15
20
25
0 500 1,000 ) m 1,500 ( h t p e 2,000 D
2,500 3,000 3,500
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):
9,700 ft
Tubing inner diameter (dti):
1.995 in. o 40 API
Oil gravity (API): Oil viscosity (cp): Production GLR (GLR):
5 cp 75 scf/bbl
Gas specific gravity ( gg):
0.7 air =1
Flowing tubing head pressure (p hf ):
200 psia o
0
3000.00 m 0.0500 m 0.80 S.G. 0.0020 Pa-s 90 sm /m 0.709 air =1 5.00 MPa o
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):
9,700 ft
Tubing inner diameter (dti):
1.995 in. o 40 API
Oil gravity (API): Oil viscosity (cp):
0
3000.00 m 0.0500 m 0.80 S.G.
5 cp
Production GLR (GLR):
0.0020 Pa-s 90 sm /m
75 scf/bbl
Gas specific gravity ( gg):
0.7 air =1
0.709 air =1
Flowing tubing head pressure (p hf ):
200 psia o 80 F
5.00 MPa o 80.00 C
90.00
Flowing tubing head temperature (t hf ):
o
Flowing temperature at tubing shoe (twf ):
180 F
Liquid production rate (qL):
758 stb/day
Water cut (WC): Interfacial tension (s): Specific gravity of water ( gw):
Depth (ft) 0 334 669 1,003 1,338 1,672 2,007 2,341 2,676 3,010 3,345 3,679 4,014 4,348 4,683 5,017 5,352 5,686 6,021 6,355 6,690
C
300.00 sm /day
10 % 30 dynes/cm 1.05 H2O=1
o
0 %
0.030 N/m 1.076
Pressure (m) 0 102 204 306 408 510 612 714 816 918 1,020 1,122 1,224 1,326 1,428 1,530 1,632 1,734 1,836 1,938 2,040
(psia) 200 267 338 415 495 579 667 757 850 945 1,042 1,142 1,243 1,345 1,450 1,555 1,662 1,770 1,879 1,989 2,100
(MPa) 1.36 1.81 2.30 2.82 3.37 3.94 4.54 5.15 5.78 6.43 7.09 7.77 8.45 9.15 9.86 10.58 11.31 12.04 12.78 13.53 14.29
7,024 7,359 7,693 8,028 8,362 8,697 9,031 9,366 9,700
2,142 2,243 2,345 2,447 2,549 2,651 2,753 2,855 2,957
2,212 2,324 2,437 2,551 2,665 2,780 2,895 3,011 3,127
15.05 15.81 16.58 17.35 18.13 18.91 19.70 20.48 21.27
0
1
9,700 ft 1.995 in. o 40 API
Aera =
0.022 ft
S.G. =
0.825
e=
5 cp 75 scf/bbl
Gas =
56850 scf/day
0.7 air =1 200 psia o 80 F 180
o
F
758 stb/day 10 %
Liquid= qw =
30 dynes/cm 1.05
Temp. (oF) 80 83 87 90 94 97 101 104 108 111 114 118 121 125 128 132 135 139 142 146 149
0.848 S.G. 75.8 bbl/day
Mass flow rate = Liquid viscosity =
Ppr 0.30 0.40 0.51 0.62 0.74 0.87 1.00 1.13 1.27 1.41 1.56 1.71 1.86 2.01 2.17 2.33 2.49 2.65 2.81 2.98 3.14
usl =
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
228145.0335 4.55
ln (mg/m1*Tpr ) Base Viscosity 0.222213 0.251374 0.282121 0.314682 0.348448 0.383157 0.418584 0.454548 0.490837 0.527385 0.564045 0.600708 0.637276 0.673665 0.709795 0.745600 0.781021 0.816003 0.850501 0.884473 0.917849
(cp) 0.010392 0.010446 0.010500 0.010554 0.010608 0.010662 0.010716 0.010770 0.010824 0.010878 0.010932 0.010986 0.011040 0.011094 0.011148 0.011202 0.011256 0.011310 0.011364 0.011417 0.011471
152 156 159 163 166 170 173 177 180
3.31 3.48 3.65 3.82 3.99 4.16 4.33 4.51 4.68
1.58 1.58 1.59 1.60 1.61 1.62 1.63 1.64 1.65
0.950667 0.982879 1.014456 1.045379 1.075635 1.105213 1.134105 1.162305 1.189809
0.011525 0.011579 0.011633 0.011687 0.011741 0.011795 0.011849 0.011903 0.011957
Tpc=169.0+314.0*S
=
Ppc=708.75-57.5*S
=
a0
a1 a2
o
R
668.36 psia
-2.462
388.8
2.97 -0.2862
a3 0.008054
0.0006
a4
2.808
a5
-3.498
a6
0.3603
a7 -0.01044 a8
a9 2.270451656 ft/s lbm/day cp
-0.7933
1.396
a10
-0.1491
a11
0.00441
a12
0.08393
a13 a14
-0.1864 0.02033
a15 -0.0006095 Gas Viscosity
t=1/Tpr
(cp) 0.009344 0.009671 0.010024 0.010409 0.010822 0.011261 0.011726 0.012217 0.012732 0.013272 0.013835 0.014423 0.015033 0.015667 0.016322 0.016999 0.017697 0.018415 0.019152 0.019908 0.020681
0.72 0.71543147 0.71092055 0.70646617 0.70206725 0.69772277 0.69343173 0.68919315 0.68500608 0.68086957 0.67678271 0.67274463 0.66875445 0.66481132 0.66091442 0.65706294 0.65325608 0.64949309 0.6457732 0.64209567 0.6384598
A
B
0.04014 7.2771 0.039762 7.2413 0.039389 7.2060 0.039021 7.1712 0.038657 7.1367 0.038297 7.1027 0.037943 7.0691 0.037593 7.0359 0.037247 7.0031 0.036906 6.9707 0.036569 6.9386 0.036236 6.9070 0.035908 6.8757 0.035584 6.8447 0.035264 6.8141 0.034948 6.7838 0.034636 6.7538 0.034328 6.7242 0.034025 6.6949 0.033725 6.6659 0.033429 6.6372
C -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
D
Y
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
0.0125 0.0159 0.0212 0.0261 0.0314 0.0369 0.0427 0.0483 0.0546 0.0609 0.0674 0.0739 0.0805 0.0871 0.0936 0.1001 0.1065 0.1127 0.1187 0.1235 0.1300
F -3.6E-05 -0.00074 -6.2E-05 -5.1E-05 -3.7E-05 -4.9E-05 -2.6E-05 -0.0003 -0.00014 -0.00012 -0.0001 -8.5E-05 -5.8E-05 -5.6E-05 -3.7E-05 -2E-05 -7.4E-06 1.59E-06 6.18E-06 -0.00078 -0.00011
z 0.963566 0.997504 0.939399 0.925825 0.912438 0.900227 0.887394 0.882067 0.867134 0.856252 0.846296 0.837325 0.829279 0.822686 0.816971 0.812446 0.809118 0.806977 0.805999 0.81307 0.80828
0.021471 0.022278 0.023100 0.023936 0.024785 0.025646 0.026519 0.027402 0.028293
0.63486486 0.63131019 0.6277951 0.62431894 0.62088106 0.61748083 0.61411765 0.6107909 0.6075
0.033136 6.6088 0.032848 6.5806 0.032563 6.5528 0.032282 6.5253 0.032004 6.4980 0.03173 6.4710 0.03146 6.4443 0.031193 6.4178 0.030929 6.3916
-29.19 -28.60 -28.03 -27.46 -26.90 -26.36 -25.82 -25.30 -24.78
3.9703 3.9603 3.9504 3.9406 3.9309 3.9213 3.9118 3.9024 3.8932
0.1356 0.1408 0.1456 0.1503 0.1546 0.1587 0.1626 0.1663 0.1697
0.000118 0.000144 0.000166 0.000186 0.000202 0.000214 0.000223 0.000228 0.000231
0.80862 0.811553 0.815373 0.820008 0.825383 0.831423 0.838059 0.845224 0.852856
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) 2.2304 1.742411 1.303094 1.053695 0.874869 0.742327 0.639784 0.563558 0.496566 0.443623 0.399916 0.363423 0.332617 0.306578 0.284219 0.264992 0.248375 0.233947 0.221368 0.212166 0.200928
(ft/s) 4.500852 4.012862 3.573545 3.324147 3.14532 3.012779 2.910235 2.83401 2.767018 2.714075 2.670368 2.633875 2.603069 2.57703 2.55467 2.535444 2.518826 2.504398 2.49182 2.482618 2.47138
5.070201 5.070201 5.070201 5.070201 5.070201 5.070201 5.070201 5.070201 5.070201 5.070201 5.070201 5.070201 5.070201 5.070201 5.070201 5.070201 5.070201 5.070201 5.070201 5.070201 5.070201
4.980761 3.89102 2.90997 2.353033 1.953691 1.657709 1.428716 1.258495 1.108894 0.990666 0.893062 0.811569 0.742775 0.684627 0.634696 0.59176 0.554651 0.522432 0.494343 0.473794 0.448698
26.68122 26.68122 26.68122 26.68122 26.68122 26.68122 26.68122 26.68122 26.68122 26.68122 26.68122 26.68122 26.68122 26.68122 26.68122 26.68122 26.68122 26.68122 26.68122 26.68122 26.68122
0.020699 0.020699 0.020699 0.020699 0.020699 0.020699 0.020699 0.020699 0.020699 0.020699 0.020699 0.020699 0.020699 0.020699 0.020699 0.020699 0.020699 0.020699 0.020699 0.020699 0.020699
CNL 0.002745 0.002745 0.002745 0.002745 0.002745 0.002745 0.002745 0.002745 0.002745 0.002745 0.002745 0.002745 0.002745 0.002745 0.002745 0.002745 0.002745 0.002745 0.002745 0.002745 0.002745
0.191944 0.184353 0.177614 0.171612 0.166247 0.161434 0.157101 0.153187 0.14964
2.462395 2.454804 2.448066 2.442064 2.436698 2.431886 2.427553 2.423639 2.420091
5.070201 5.070201 5.070201 5.070201 5.070201 5.070201 5.070201 5.070201 5.070201
0.428634 0.411682 0.396635 0.383231 0.37125 0.360502 0.350827 0.342087 0.334164
26.68122 26.68122 26.68122 26.68122 26.68122 26.68122 26.68122 26.68122 26.68122
0.020699 0.020699 0.020699 0.020699 0.020699 0.020699 0.020699 0.020699 0.020699
0.002745 0.002745 0.002745 0.002745 0.002745 0.002745 0.002745 0.002745 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 0.38
N vl p
N vg N L
0.1
0.575 N vg p st 0.000269 0.000319 0.000386 0.000445 0.000505 0.000563 0.000622 0.000678 0.000737 0.000795 0.000852 0.000909 0.000965 0.001019 0.001072 0.001124 0.001175 0.001223 0.001270 0.001309 0.001358
CN L N D
0.38
2.14
N vg N L yL/j 0.509331 0.545702 0.587378 0.619033 0.646922 0.671609 0.693871 0.712939 0.731585 0.748121 0.763187 0.776943 0.789535 0.801004 0.811534 0.821168 0.829982 0.838044 0.845419 0.851224 0.858209
2.14
N D
0.001012 0.000791 0.000591 0.000478 0.000397 0.000337 0.000290 0.000256 0.000225 0.000201 0.000181 0.000165 0.000151 0.000139 0.000129 0.000120 0.000113 0.000106 0.000100 0.000096 0.000091
N D 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 -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 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 0.995164
0.001402 0.001442 0.001480 0.001516 0.001551 0.001584 0.001616 0.001646 0.001674
0.864114 0.869325 0.874105 0.878495 0.882533 0.886254 0.889688 0.892865 0.895809
0.000087 0.000084 0.000081 0.000078 0.000075 0.000073 0.000071 0.000070 0.000068
-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
0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164 0.995164
yL
NRe
f
rg 3
0.5069 0.5431 0.5845 0.6160 0.6438 0.6684 0.6905 0.7095 0.7280 0.7445 0.7595 0.7732 0.7857 0.7971 0.8076 0.8172 0.8260 0.8340 0.8413 0.8471 0.8541
11,694 9,202 7,023 5,709 4,756 4,046 3,499 3,087 2,735 2,457 2,229 2,039 1,881 1,747 1,634 1,536 1,453 1,380 1,317 1,269 1,215
0.007664 0.008117 0.008687 0.00917 0.009633 0.010073 0.010497 0.010883 0.011278 0.011646 0.011995 0.012327 0.012641 0.012937 0.013216 0.013478 0.013724 0.013954 0.014168 0.014344 0.014551
(lbm/ft ) 0.726443 0.929895 1.243395 1.537692 1.852003 2.182676 2.532512 2.875054 3.262929 3.652331 4.051501 4.45833 4.871245 5.284981 5.700746 6.11437 6.523453 6.925762 7.319298 7.636738 8.063867
Average r dp/dz 3
(lbm/ft ) 27.16548 29.14645 31.43162 33.17153 34.7087 36.07218 37.30378 38.35884 39.39239 40.30848 41.14271 41.90351 42.59886 43.23083 43.80967 44.33769 44.81914 45.25792 45.65769 45.96946 46.34636
(psi/ft) 0.199481 0.213099 0.228886 0.240972 0.251688 0.261223 0.269858 0.277274 0.28455 0.291012 0.296907 0.302291 0.307218 0.311703 0.315816 0.319572 0.323 0.326129 0.328981 0.331213 0.333904
0.8599 0.8651 0.8699 0.8742 0.8783 0.8820 0.8854 0.8885 0.8915
1,171 1,133 1,100 1,070 1,043 1,019 997 978 960
0.014731 0.014893 0.015044 0.015184 0.015315 0.015436 0.015549 0.015655 0.015754
8.441327 8.788913 9.122346 9.441404 9.74611 10.03668 10.31347 10.57698 10.82774
46.66263 46.94002 47.19318 47.42452 47.6362 47.83023 48.00842 48.17238 48.32357
0.336167 0.338154 0.339969 0.341629 0.34315 0.344545 0.345827 0.347008 0.348097
