Petroleum Engineering 324 — Well Performance€¦ · Petroleum Engineering 324 — Well...

Petroleum Engineering 324 — Well Performance Homework No. 8 — Pre- and Post-Fracture Gas Well Pressure Buildup Cases

07 April 2003 — Due: Monday 14 April 2003

Field Case: Mid-Continent Gas Well

These gas well test data were obtained from an operator in the Mid-Continent region of the U.S. The appropriate pseudopressure and pseudotime transforms are applied — you can simply analyze these well test data in the same manner as you would for data from an oil well test.

Note that you are given 2 (two) separate tests — a pre-fracture buildup test that has some apparent wellbore storage anomalies, and a post-fracture pressure buildup test that exhibits fractured well behavior.

Reservoir properties: φ = 0.095 rw = 0.33 ft h = 96 ft

Gas properties: (at the initial reservoir pressure (pi) of 5700 psia) γg = 0.718 (air = 1.0) T = 190 deg F Bgi = 0.6052 RB/MSCF µgi = 0.0345 cp ct = cgi = 9.55x10-5 psia-1

Production parameters: Pre-Fracture Buildup: ppwf(∆t=0) = 626.02 psia qg= 1,900 MSCF/D tp = 64 hr Post-Fracture Buildup: ppwf(∆t=0) = 2535.20 psia qg= 10,500 MSCF/D tp = 2130 hr

Required:

For this problem, you are to perform the following analyses:

l "Preliminary" log-log analysis. l Cartesian analysis of "early" time (wellbore storage distorted) data. l Semilog analysis of "middle" time (radial flow) data. l Log-log type curve analysis.

You are to complete the tables on the attached pages which are provided for you to tabulate your results.

Hint:

Focus on the analysis of the post-fracture data first, the pre-fracture data are severely distorted — apparently by anomalous wellbore storage conditions, but also (possibly) by near-well fluid (condensate) banking.

2


07 April 2003 — Due: Monday 14 April 2003 Governing Equations

Pseudopressure-Pseudotime Relations:

Pseudopressure: Pseudotime:

⌡

⌠=

p

pdp

zp

p

zp

base gi

igip

µ

µ

⌡

⌠∆∆=∆

ttd

ticgit ticgia

0

1

µµ

Early-Time Cartesian Analysis: (pseudopressure-pseudotime form)

.24

yields which ,24

where,)(or 0)( wbs

gigs

s

gigwbsaeawbspwfpws m

BqC

C

Bqmttmtpp ==∆∆+=∆=

Semilog Analysis: (pseudopressure-pseudotime form)

Horner:

.6.162 gives which ,6.162 where, ln hm

Bqk

kh

Bqm

t

ttmpp

sl

gigiggigigsl

a

apslpipws

µµ==

∆

∆+−=

and the skin factor, s, is given by:

+

−

+−

=∆−=∆= 2275.3

2log

1log

0))(hr) 1((1513.1

wrticgi

kt

t

slmatpwfpatpwsp

sp

p

φµ

MDH:

.6.162 where,8686.02275.32

log )ln( 0)(kh

Bqms

wrticgi

kmtmtpp gigig

slslaslapwfpwsµ

φµ=

+−

+∆+=∆=

where the formation permeability, k, and the skin factor, s, are given by:

hm

Bqk

sl

gigig µ6.162= and

+

−

=∆−=∆= 2275.3

2log

0))(hr) 1((1513.1

wrticgi

k

slmatpwfpatpwsp

sφµ

Type Curve Analysis Relations: (pseudopressure-pseudotime form)

"Bourdet -Gringarten" Type Curves: "Economides" Type Curves: (Unfractured Vertical Well with (Fractured Vertical Well with Wellbore Storage and Skin Effects) Wellbore Storage Effects)

Family Parameter: CDe2s Family Parameter: CDf

Formation Permeability: Formation Permeability:

]or [

]or [ 2.141

MP'pp

MP'wDwDgigig

pp

pph

Bqk

∆∆=

µ ]or [

]or [ 2.141

MP'pp

MP'wDwDgigig

pp

pph

Bqk

∆∆=

µ

Dimensionless Wellbore Storage Coefficient: Fracture Half-Length:

]/[

]or [ 0002637.0

2 MPDD

MPaea

wtigiD Ct

tt

rc

kC

∆∆=

φµ

]/[]or [1

0002637.02

MPDfDxf

MPaea

Dftigif Ct

ttCc

kx

∆∆=

φµ

Skin Factor:

][

ln21

2

=

D

MPs

DCeC

s

3


07 April 2003 — Due: Monday 14 April 2003 Required Results — Pre-Fracture Pressure Buildup Test Data (Mid-continent gas well)

Required: Pre-Fracture Pressure Buildup Test Data (Mid-continent gas well)

You are to estimate the following:

l "Preliminary" log-log analysis: a. The wellbore storage coefficient, Cs. b. The dimensionless wellbore storage coefficient, CD. c. The formation permeability, k.

l Cartesian analysis of "early" time (wellbore storage distorted) data: a. The pseudopressure at the start of the test, ppws(∆t=0). b. The wellbore storage coefficient, Cs. c. The dimensionless wellbore storage coefficient, CD.

l Semilog analysis of "middle" time (radial flow) data: (use both Horner and MDH methods) a. The formation permeability, k. b. The near well skin factor, s. c. The radius of investigation, rinv, at the end of radial flow or the end of the test data.

l Log-log type curve analysis: (use ∆tae methods) a. The formation permeability, k. b. The near well skin factor, s. c. The wellbore storage coefficient, Cs. d. The dimensionless wellbore storage coefficient, CD.

Results: Pre-Fracture Pressure Buildup Test Data (Mid-continent gas well)

Log-log Analysis:

Wellbore storage coefficient, Cs = RB/psi

Dimensionless wellbore storage coefficient, CD =

Formation permeability, k = md

Cartesian Analysis: Early Time Data

Pressure drop at the start of the test, ppws(∆t=0) = psi


Dimensionless wellbore storage coefficient, CD =

Semilog Analysis: Horner ∆ta (MDH)

Formation permeability, k = md = md

Near well skin factor, s = =

Radius of investigation, rinv (end of radial flow or end of test) = ft = ft

Log-Log Type Curve Analysis: ∆tae ∆ta



Wellbore storage coefficient, Cs = RB/psi = RB/psi

Dimensionless wellbore storage coefficient, CD = =

4


07 April 2003 — Due: Monday 14 April 2003 Required Results — Post-Fracture Pressure Buildup Test Data (Mid-continent gas well)

Required: Post-Fracture Pressure Buildup Test Data (Mid-continent gas well)

You are to estimate the following:

l "Preliminary" log-log analysis: a. The wellbore storage coefficient, Cs. b. The dimensionless wellbore storage coefficient, CDf (based on xf). c. The formation permeability, k.

l Cartesian analysis of "early" time (wellbore storage distorted) data: a. The pseudopressure at the start of the test, ppws(∆t=0). b. The wellbore storage coefficient, Cs. c. The dimensionless wellbore storage coefficient, CDf (based on xf).

l Semilog analysis of "middle" time (radial flow) data: (use both Horner and MDH methods) a. The formation permeability, k. b. The near well skin factor, s. c. The radius of investigation, rinv, at the end of radial flow or the end of the test data.

l Log-log type curve analysis: (use ∆tae methods) a. The dimensionless fracture conductivity, CfD. b. The formation permeability, k. c. The fracture half-length, xf. d. The wellbore storage coefficient, Cs. e. The dimensionless wellbore storage coefficient, CD. f. The pseudoradial flow skin factor, spr.

Results: Post-Fracture Pressure Buildup Test Data (Mid-continent gas well)

Log-log Analysis:


Dimensionless wellbore storage coefficient, CDf (based on xf) =


Cartesian Analysis: Early Time Data

Pressure drop at the start of the test, ppws(∆t=0) = psi



Semilog Analysis: Horner ∆ta (MDH)



Radius of investigation, rinv (end of radial flow or end of test) = ft = ft

Log-Log Type Curve Analysis: ∆tae (∆ta=∆tae, tp=2130 hr)

Dimensionless fracture conductivity, CfD =


Fracture half-length, xf = ft



Pseudoradial flow skin factor, spr =

5


07 April 2003 — Due: Monday 14 April 2003 Pre-Fracture Pressure Buildup Test Data


Well Test Data Functions: Pre-Fracture Pressure Buildup Test Data

Point ∆t, hr pws, psia ∆ta, hr ∆tae, hr (tp+∆ta)/∆ta ppws, psia ∆pp, psi ∆pp'(∆ta), psi ∆pp'(∆tae), psi 1 0.0290 1636 0.0045 0.0045 14289.904 637.54 11.52 13.45 13.45 2 0.0580 1681 0.0135 0.0135 4741.741 672.43 46.41 50.38 50.40 3 0.0940 1729 0.0249 0.0249 2571.281 709.65 83.63 88.70 88.74 4 0.1240 1773 0.0346 0.0346 1850.711 743.76 117.74 112.57 112.64 5 0.1660 1826 0.0485 0.0485 1320.588 784.86 158.84 158.28 158.41 6 0.2060 1885 0.0621 0.0620 1031.596 830.60 204.58 212.05 212.27 7 0.2420 1936 0.0746 0.0745 858.909 870.14 244.12 269.29 269.63 8 0.2720 1986 0.0853 0.0852 751.293 908.91 282.89 303.90 304.33 9 0.3040 2038 0.0970 0.0969 660.794 952.25 326.23 323.73 324.24

10 0.3360 2084 0.1089 0.1087 588.695 993.89 367.87 337.70 338.28 11 0.3700 2129 0.1217 0.1215 526.883 1034.62 408.60 319.02 319.62 12 0.4120 2169 0.1377 0.1374 465.779 1070.83 444.81 310.97 311.64 13 0.4610 2211 0.1566 0.1562 409.685 1108.85 482.83 284.04 284.74 14 0.5000 2241 0.1719 0.1714 373.309 1136.00 509.98 275.40 276.13 15 0.5570 2278 0.1944 0.1938 330.218 1169.49 543.47 295.93 296.85 16 0.6280 2316 0.2228 0.2220 288.253 1203.89 577.87 304.23 305.33 17 0.6750 2348 0.2418 0.2409 265.682 1232.85 606.83 317.77 319.02 18 0.7290 2381 0.2640 0.2629 243.424 1262.72 636.70 336.45 337.89 19 0.7850 2413 0.2872 0.2859 223.841 1291.69 665.67 372.64 374.36 20 0.8500 2448 0.3146 0.3131 204.433 1323.37 697.35 404.23 406.32 21 0.9090 2482 0.3397 0.3379 189.402 1354.15 728.13 430.77 433.18 22 0.9750 2522 0.3683 0.3662 174.771 1390.91 764.89 461.80 464.58 23 1.0600 2573 0.4057 0.4031 158.752 1440.99 814.97 521.25 524.69 24 1.1380 2617 0.4404 0.4374 146.322 1484.20 858.18 553.38 557.33 25 1.2250 2664 0.4795 0.4759 134.472 1530.35 904.33 606.05 610.79 26 1.3150 2720 0.5206 0.5164 123.935 1585.34 959.32 632.57 637.89 27 1.4160 2773 0.5674 0.5624 113.795 1637.39 1011.37 679.53 685.80 28 1.5250 2841 0.6189 0.6130 104.409 1704.16 1078.14 787.11 795.09 29 1.6430 2903 0.6758 0.6687 95.703 1765.05 1139.03 908.05 918.40 30 1.7710 2977 0.7391 0.7307 87.592 1837.71 1211.69 995.39 1007.82 31 1.9140 3087 0.8119 0.8017 79.827 1948.42 1322.40 1062.56 1076.80 32 2.0650 3217 0.8914 0.8792 72.797 2080.92 1454.90 1137.59 1153.63 33 2.2290 3325 0.9806 0.9658 66.266 2191.00 1564.98 1228.13 1247.11 34 2.4000 3428 1.0766 1.0588 60.446 2295.98 1669.96 1272.80 1294.72 35 2.5890 3535 1.1865 1.1649 54.940 2405.30 1779.28 1272.59 1297.31

6


07 April 2003 — Due: Monday 14 April 2003 Pre-Fracture Pressure Buildup Test Data


Well Test Data Functions: Pre-Fracture Pressure Buildup Test Data

Point ∆t, hr pws, psia ∆ta, hr ∆tae, hr (tp+∆ta)/∆ta ppws, psia ∆pp, psi ∆pp'(∆ta), psi ∆pp'(∆tae), psi 36 2.7910 3664 1.3079 1.2817 49.933 2538.43 1912.41 1294.35 1321.76 37 3.0110 3804 1.4447 1.4128 45.300 2682.91 2056.89 1326.61 1357.11 38 3.2530 3947 1.6015 1.5624 40.963 2830.49 2204.47 1391.20 1426.37 39 3.5110 4075 1.7754 1.7275 37.048 2962.54 2336.52 1320.01 1356.63 40 3.7960 4209 1.9741 1.9150 33.420 3100.72 2474.70 1269.61 1308.77 41 4.1070 4366 2.1988 2.1258 30.107 3262.61 2636.59 1222.79 1263.99 42 4.4370 4463 2.4458 2.3558 27.167 3362.64 2736.62 1230.30 1277.92 43 4.7890 4581 2.7169 2.6063 24.556 3483.79 2857.77 1140.77 1189.26 44 5.1700 4700 3.0185 2.8826 22.203 3605.55 2979.53 986.75 1032.67 45 5.5830 4837 3.3551 3.1880 20.075 3745.73 3119.71 916.22 960.16 46 6.0340 4917 3.7326 3.5269 18.146 3827.59 3201.57 835.76 880.84 47 6.5230 4977 4.1494 3.8968 16.424 3888.99 3262.97 724.57 769.03 48 7.0490 5029 4.6044 4.2954 14.900 3942.03 3316.01 583.56 625.46 49 7.6150 5099 5.1006 4.7241 13.548 4012.83 3386.81 512.07 551.63 50 8.2270 5148 5.6431 5.1859 12.341 4062.40 3436.38 472.71 512.70 51 8.8830 5193 6.2302 5.6775 11.273 4107.92 3481.90 428.54 467.52 52 9.5930 5227 6.8707 6.2046 10.315 4142.31 3516.29 349.58 385.07 53 10.3640 5260 7.5712 6.7703 9.453 4175.69 3549.67 296.47 329.10 54 11.1970 5283 8.3325 7.3726 8.681 4198.96 3572.94 247.51 277.83 55 12.0960 5303 9.1580 8.0116 7.988 4219.19 3593.17 215.20 244.38 56 13.0640 5319 10.0504 8.6863 7.368 4235.38 3609.36 169.55 194.81 57 14.1150 5334 11.0227 9.4032 6.806 4250.55 3624.53 147.87 173.47 58 15.2420 5348 12.0687 10.1539 6.303 4264.71 3638.69 125.47 152.92 59 16.4550 5354 13.1971 10.9410 5.850 4270.78 3644.76 110.66 129.63 60 17.7740 5364 14.4263 11.7726 5.436 4280.89 3654.87 90.87 119.51 61 19.1920 5371 15.7503 12.6397 5.063 4287.98 3661.96 78.61 101.90 62 20.7260 5378 17.1850 13.5473 4.724 4295.06 3669.04 73.24 88.87 63 22.3880 5382 18.7413 14.4963 4.415 4299.10 3673.08 64.45 81.49 64 24.1830 5389 20.4244 15.4832 4.134 4306.18 3680.16 52.79 67.60 65 26.1090 5392 22.2324 16.5005 3.879 4309.22 3683.20 43.44 60.10 66 28.1920 5397 24.1896 17.5546 3.646 4314.27 3688.25 39.64 52.38 67 30.4400 5398 26.3034 18.6418 3.433 4315.29 3689.27 28.12 58.06 68 32.8750 5400 28.5938 19.7638 3.238 4317.31 3691.29 26.26 48.17 69 35.4920 5402 31.0565 20.9098 3.061 4319.33 3693.31 30.19 46.56 70 38.3280 5403 33.7262 22.0870 2.898 4320.35 3694.33 30.22 44.80 71 41.3840 5405 36.6041 23.2860 2.748 4322.37 3696.35 30.25 39.99 72 44.9280 5412 39.9451 24.5946 2.602 4329.45 3703.43 40.21 51.10

7


07 April 2003 — Due: Monday 14 April 2003 Post-Fracture Pressure Buildup Test Data


Well Test Data Functions: Post-Fracture Pressure Buildup Test Data

Point ∆t, hr pws, psia ∆ta, hr ∆tae, hr (tp+∆ta)/∆ta ppws, psia ∆pp, psi ∆pp'(∆tae), psi 1 0.0019 3663.62 0.00083 0.00083 2560097.000 2543.51 8.11 7.51 2 0.0061 3671.00 0.00340 0.00340 626103.250 2554.09 18.69 10.27 3 0.0103 3680.37 0.00598 0.00598 356426.719 2560.50 25.10 11.26 4 0.0144 3685.99 0.00850 0.00850 250589.250 2564.44 29.04 12.24 5 0.0187 3689.80 0.01110 0.01110 191892.938 2567.92 32.52 11.76 6 0.0270 3694.43 0.01620 0.01620 131482.469 2571.68 36.28 10.49 7 0.0353 3697.83 0.02130 0.02130 100000.984 2574.66 39.26 12.23 8 0.0437 3700.87 0.02650 0.02650 80378.359 2577.66 42.26 12.02 9 0.0520 3703.22 0.03160 0.03160 67406.063 2579.84 44.44 12.36

10 0.0604 3704.84 0.03680 0.03680 57881.441 2581.41 46.01 12.98 11 0.0687 3706.70 0.04190 0.04190 50836.324 2583.31 47.91 11.95 12 0.0729 3707.61 0.04450 0.04450 47866.172 2584.66 49.26 12.61 13 0.0812 3709.28 0.04960 0.04960 42944.543 2585.86 50.46 13.25 14 0.0978 3711.16 0.05990 0.05990 35560.262 2587.82 52.42 13.18 15 0.1145 3713.62 0.07020 0.07020 30342.881 2590.30 54.90 15.99 16 0.1312 3716.02 0.08050 0.08050 26460.625 2593.45 58.05 16.58 17 0.1478 3717.79 0.09080 0.09080 23459.150 2594.52 59.12 17.01 18 0.1645 3719.64 0.10110 0.10110 21069.250 2596.42 61.02 17.45 19 0.2019 3723.23 0.12430 0.12429 17136.967 2600.06 64.66 18.58 20 0.2479 3727.13 0.15280 0.15279 13940.796 2604.04 68.64 19.82 21 0.2853 3729.93 0.17600 0.17599 12103.270 2606.92 71.52 20.58 22 0.3270 3732.72 0.20190 0.20188 10550.775 2609.76 74.36 21.39 23 0.4062 3737.41 0.25110 0.25107 8483.677 2614.58 79.18 24.48 24 0.4854 3742.11 0.30040 0.30036 7091.546 2619.48 84.08 24.56 25 0.5645 3745.54 0.34970 0.34964 6091.935 2622.90 87.50 24.89 26 0.6479 3748.69 0.40170 0.40162 5303.464 2626.16 90.76 24.46 27 0.7229 3751.46 0.44850 0.44841 4750.164 2629.01 93.61 26.50 28 0.8061 3754.37 0.50050 0.50038 4256.744 2632.00 96.60 28.21 29 0.9644 3759.54 0.59950 0.59933 3553.961 2637.33 101.93 30.46 30 1.1312 3764.42 0.70390 0.70367 3026.998 2642.36 106.96 32.96 31 1.2896 3768.65 0.80320 0.80290 2652.892 2646.72 111.32 34.49 32 1.4479 3773.01 0.90260 0.90222 2360.850 2651.22 115.82 34.97 33 1.6145 3776.78 1.00730 1.00682 2115.563 2655.08 119.68 36.05 34 1.9979 3784.05 1.24860 1.24787 1706.910 2662.58 127.18 37.97 35 2.3978 3791.37 1.50080 1.49974 1420.243 2670.14 134.74 42.52

8


07 April 2003 — Due: Monday 14 April 2003 Post-Fracture Pressure Buildup Test Data


Well Test Data Functions: Post-Fracture Pressure Buildup Test Data

Point ∆t, hr pws, psia ∆ta, hr ∆tae, hr (tp+∆ta)/∆ta ppws, psia ∆pp, psi ∆pp'(∆tae), psi 36 2.7979 3798.00 1.75360 1.75216 1215.645 2676.97 141.57 45.48 37 3.1979 3804.14 2.00680 2.00491 1062.391 2683.31 147.91 48.21 38 3.9980 3815.37 2.51460 2.51164 848.053 2694.90 159.50 51.19 39 4.7480 3823.86 2.99190 2.98770 712.922 2703.65 168.25 53.83 40 5.4980 3831.82 3.47040 3.46476 614.762 2711.85 176.45 57.62 41 6.2479 3839.09 3.94990 3.94259 540.254 2719.36 183.96 59.61 42 7.2480 3847.80 4.59090 4.58103 464.961 2728.33 192.93 61.57 43 7.9979 3854.06 5.07260 5.06055 420.903 2734.80 199.40 63.77 44 9.4980 3864.78 6.03870 6.02163 353.725 2745.86 210.46 67.06 45 10.9980 3874.46 7.00770 6.98472 304.951 2755.85 220.45 69.38 46 12.4980 3883.28 7.97960 7.94982 267.931 2764.95 229.55 71.69 47 13.9979 3891.53 8.95390 8.91642 238.885 2773.46 238.06 73.67 48 15.4980 3898.84 9.93070 9.88461 215.486 2781.00 245.60 75.17 49 19.4980 3916.34 12.54560 12.47214 170.781 2799.06 263.66 79.57 50 23.4980 3931.20 15.17380 15.06647 141.374 2814.39 278.99 81.38 51 26.9981 3941.74 17.48330 17.34096 122.831 2825.27 289.87 85.63 52 30.9981 3953.57 20.13239 19.94389 106.800 2837.48 302.08 86.59 53 38.4981 3972.83 25.12510 24.83218 85.776 2857.36 321.96 92.01 54 45.9981 3989.11 30.14740 29.72666 71.653 2874.16 338.76 93.10 55 53.4981 4003.26 35.19540 34.62330 61.519 2888.76 353.36 98.92 56 60.4981 4015.27 39.92810 39.19340 54.346 2901.15 365.75 100.98 57 67.9981 4027.36 45.01530 44.08364 48.317 2913.61 378.21 103.31 58 71.9981 4033.01 47.73371 46.68743 45.623 2919.44 384.04 103.64

9


07 April 2003 — Due: Monday 14 April 2003 "Cinco-Samaniego" Type Curve

"Cinco-Samaniego" Type Curve: pwD and pwD' vs. tDxf — Various CfD Values (NO WELLBORE STORAGE EFFECTS) (1"x1" format)

10


07 April 2003 — Due: Monday 14 April 2003 "Cinco-Samaniego" Skin Factor Correlation

"Cinco-Samaniego" Skin Factor Correlation: (used to relate the fractured well case to the Pseudoradial flow skin factor)

11


07 April 2003 — Due: Monday 14 April 2003 Bourdet-Gringarten Type Curve (Unfractured Well)

Bourdet-Gringarten Type Curve: pwD and pwD' vs. tD/CD — Various CD Values (Radial Flow Case — Includes Wellbore Storage and Skin Effects) (1"x1" format)

12


07 April 2003 — Due: Monday 14 April 2003 "Economides" Type Curve (CfD =1, CDf =various)

"Economides" Type Curve: pwD and pwD' vs. tDxf/CDf — CfD =1 (Fractured Well Case — Includes Wellbore Storage Effects) (1"x1" format)

13




14




15




16


07 April 2003 — Due: Monday 14 April 2003 "Economides" Type Curve (CfD =1x10-3, CDf =various)

"Economides" Type Curve: pwD and pwD' vs. tDxf/CDf — CfD =1x103 (Fractured Well Case — Includes Wellbore Storage Effects) (1"x1" format)

17


07 April 2003 — Due: Monday 14 April 2003 Ansah Type Curve — Pressure Buildup in a Bounded (Closed) Reservoir System

Ansah Type Curve: Pressure Buildup in a Bounded (Closed) Reservoir System (1"x1" format)

18


07 April 2003 — Due: Monday 14 April 2003 Stewart Type Curve — Well in an Infinite-Acting Reservoir System with a Single or Multiple Sealing Faults

Stewart Type Curve: Well in an Infinite-Acting Reservoir System with a Single or Multiple Sealing Faults. (1"x1" format)

19


07 April 2003 — Due: Monday 14 April 2003 Early-Time Cartesian Plot — Pre-Fracture Gas Well Pressure Buildup Case

Early-Time Cartesian Plot: Pre-Fracture Gas Well Pressure Buildup Case — Pseudopressure Data (Wellbore Storage Distorted Data)

20


07 April 2003 — Due: Monday 14 April 2003 Semilog Plot — Pre-Fracture Gas Well Pressure Buildup Case — Pseudopressure Data (Undistorted Radial Flow Data)

Semilog Plot: Pre-Fracture Gas Well Pressure Buildup Case — Pseudopressure Data (Undistorted Radial Flow Data)

21


07 April 2003 — Due: Monday 14 April 2003 Horner Semilog Plot — Pre-Fracture Gas Well Pressure Buildup Case — Pseudopressure Data (Undistorted Radial Flow Data)

Horner Semilog Plot: Pre-Fracture Gas Well Pressure Buildup Case — Pseudopressure Data (Undistorted Radial Flow Data)

22


07 April 2003 — Due: Monday 14 April 2003 Log-Log Plot — Pre-Fracture Gas Well Pressure Buildup Case — (No Rate History Included — Using Shut-In Pseudotime)

Log-Log Plot: Pre-Fracture Gas Well Pressure Buildup Case — (No Rate History Included — Using Shut-In Pseudotime)

23


07 April 2003 — Due: Monday 14 April 2003 Log-Log Plot — Pre-Fracture Gas Well Pressure Buildup Case — (Rate History Included — Using Effective Pseudotime)

Log-Log Plot: Pre-Fracture Gas Well Pressure Buildup Case — (Rate History Included — Using Effective Pseudotime)

24


07 April 2003 — Due: Monday 14 April 2003 Semilog Plot (Results) — Pre-Fracture Gas Well Pressure Buildup Case — Pseudopressure Data (Undistorted Radial Flow Data)

Semilog Plot (Results): Pre-Fracture Gas Well Pressure Buildup Case — Pseudopressure Data (Undistorted Radial Flow Data)

25


07 April 2003 — Due: Monday 14 April 2003 Horner Semilog Plot (Results) — Pre-Fracture Gas Well Pressure Buildup Case — Pseudopressure Data (Undistorted Radial Flow Data)

Horner Semilog Plot (Results): Pre-Fracture Gas Well Pressure Buildup Case — Pseudopressure Data (Undistorted Radial Flow Data)

26


07 April 2003 — Due: Monday 14 April 2003 Log-Log Plot (Results) — Pre-Fracture Gas Well Pressure Buildup Case — (No Rate History Included — Using Shut-In Pseudotime)

Log-Log Plot (Results): Pre-Fracture Gas Well Pressure Buildup Case — (No Rate History Included — Using Shut-In Pseudotime)

27


07 April 2003 — Due: Monday 14 April 2003 Log-Log Plot (Results) — Fracture Gas Well Pressure Buildup Case — (Rate History Included — Using Effective Pseudotime)

Log-Log Plot (Results): Pre-Fracture Gas Well Pressure Buildup Case — (Rate History Included — Using Effective Pseudotime)

28


07 April 2003 — Due: Monday 14 April 2003 Early-Time Cartesian Plot — Post-Fracture Gas Well Pressure Buildup Case — Pseudopressure Data (Wellbore Storage Distorted Data)

Early-Time Cartesian Plot: Post-Fracture Gas Well Pressure Buildup Case—Pseudopressure Data (Wellbore Storage Distorted Data)

29


07 April 2003 — Due: Monday 14 April 2003 Semilog Plot Post — Fracture Gas Well Pressure Buildup Case — Pseudopressure Data (Undistorted Radial Flow Data)

Semilog Plot: Post-Fracture Gas Well Pressure Buildup Case — Pseudopressure Data (Undistorted Radial Flow Data)

30


07 April 2003 — Due: Monday 14 April 2003 Horner Semilog Plot — Post-Fracture Gas Well Pressure Buildup Case — Pseudopressure Data (Undistorted Radial Flow Data)

Horner Semilog Plot: Post-Fracture Gas Well Pressure Buildup Case — Pseudopressure Data (Undistorted Radial Flow Data)

31


07 April 2003 — Due: Monday 14 April 2003 Log-Log Plot — Post-Fracture Gas Well Pressure Buildup Case — (Rate History Included — Using Effective Pseudotime)

Log-Log Plot: Post-Fracture Gas Well Pressure Buildup Case — (Rate History Included — Using Effective Pseudotime)

32


07 April 2003 — Due: Monday 14 April 2003 Early-Time Cartesian Plot (Results) — Post-Fracture Gas Well Pressure Buildup Case — Pseudopressure Data (Wellbore Storage Distorted Data)

Early-Time Cartesian Plot (Results): Post-Fracture Gas Well Pressure Buildup Case — Pseudopressure Data (Wellbore Storage Distorted Data)

33


07 April 2003 — Due: Monday 14 April 2003 Semilog Plot (Results) — Post-Fracture Gas Well Pressure Buildup Case — Pseudopressure Data (Undistorted Radial Flow Data)

Semilog Plot (Results): Post-Fracture Gas Well Pressure Buildup Case — Pseudopressure Data (Undistorted Radial Flow Data)

34


07 April 2003 — Due: Monday 14 April 2003 Horner Semilog Plot (Results) — Post-Fracture Gas Well Pressure Buildup Case — Pseudopressure Data (Undistorted Radial Flow Data)

Horner Semilog Plot (Results): Post-Fracture Gas Well Pressure Buildup Case — Pseudopressure Data (Undistorted Radial Flow Data)

35


07 April 2003 — Due: Monday 14 April 2003 Log-Log Plot (Results) — Post-Fracture Gas Well Pressure Buildup Case — (Rate History Included — Using Effective Pseudotime)

Log-Log Plot (Results): Post-Fracture Gas Well Pressure Buildup Case — (Rate History Included — Using Effective Pseudotime)

Date post:	07-Jul-2018
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Petroleum Engineering 324 — Well Performance€¦ · Petroleum Engineering 324 — Well...

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