TABLE 8.1 (Pag 284 Craft & Hawkins)

(Pag 284 Craft & Hawkins)

Dimensionless FluidTime Influx Manual Interpolation (Example)

tD0.00 0.000 Upper limit 5.000.01 0.112 target => 4.63

0.05 0.278 Lower limit 4.000.10 0.4040.15 0.5200.20 0.6060.25 0.6890.30 0.7580.40 0.8980.50 1.0200.60 1.1400.70 1.2510.80 1.3590.90 1.469

1 1.5692 2.4473 3.2024 3.8935 4.5396 5.1537 5.7438 6.3149 6.869

10 7.41111 7.94012 8.45713 8.96414 9.46115 9.94916 10.43417 10.91318 11.38619 11.85520 12.31921 12.77822 13.23323 13.68424 14.13125 14.57326 15.013

Infinite aquifer values of dimensionless water influx Q(t) (or W eD) for values of dimensionless time t

WeD

tD

27 15.45028 15.88329 16.31330 16.74231 17.16732 17.59033 18.01134 18.42935 18.84536 19.25937 19.67138 20.08039 20.48840 20.89441 21.29842 21.70143 22.10144 22.50045 22.89746 23.29147 23.68448 24.07649 24.46650 24.85551 25.24452 25.63353 26.02054 26.40655 26.79156 27.17457 27.55558 27.93559 28.31460 28.69161 29.06862 29.44363 29.81864 30.19265 30.56566 30.93767 31.30868 31.67969 32.04870 32.41771 32.78572 33.15173 33.51774 33.883

75 34.24776 34.61177 34.97478 35.33679 35.69780 36.05881 36.41882 36.77783 37.13684 37.49485 37.85186 38.20787 38.56388 38.91989 39.27290 39.62691 39.97992 40.33193 40.68494 41.03495 41.38596 41.73597 42.08498 42.43399 42.781

100 43.129105 44.858110 46.574115 48.277120 49.968125 51.648130 53.317135 54.976140 56.625145 58.265150 59.895155 61.517160 63.131165 64.737170 66.336175 67.928180 69.512185 71.090190 72.661195 74.226200 75.785205 77.338210 78.886

215 80.428220 81.965225 83.497230 85.023235 86.545240 88.062245 89.575250 91.084255 92.589260 94.090265 95.588270 97.081275 98.571280 100.057285 101.540290 103.019295 104.495300 105.968305 107.437310 108.904315 110.367320 111.827325 113.284330 114.738335 116.189340 117.638345 119.083350 120.526355 121.966360 123.403365 124.838370 126.720375 127.699380 129.126385 130.550390 131.972395 133.391400 134.808405 136.223410 137.635415 139.045420 140.453425 141.859430 143.262435 144.664440 146.064445 147.461450 148.856

455 150.249460 151.640465 153.029470 154.416475 155.801480 157.184485 158.565490 159.945495 161.322500 162.698510 165.444520 168.183525 169.549530 170.914540 173.639550 176.357560 179.069570 181.774575 183.124580 184.473590 187.166600 189.852610 192.533620 195.208625 196.544630 197.878640 200.542650 203.201660 205.854670 208.502675 209.825680 211.145690 213.784700 216.417710 219.046720 221.670725 222.980730 224.289740 226.904750 229.514760 232.120770 234.721775 236.020780 237.318790 239.912800 242.501810 245.086820 247.668

825 248.957830 250.245840 252.819850 255.388860 257.953870 260.515875 261.795880 263.073890 265.629900 268.181910 270.729920 273.274925 274.545930 275.815940 278.353950 280.888960 283.420970 285.948975 287.211980 288.473990 290.995

1,000 293.5141,010 296.0301,020 298.5431,025 299.7991,030 301.0531,040 303.5601,050 306.0651,060 308.5671,070 311.0661,075 312.3141,080 313.5621,090 316.0551,100 318.5451,110 321.0321,120 323.5171,125 324.7601,130 326.0001,140 328.4801,150 330.9581,160 333.4331,170 335.9061,175 337.1421,180 338.3761,190 340.8431,200 343.3081,210 345.7701,220 348.230

1,225 349.4601,230 350.6881,240 353.1441,250 355.5971,260 358.0481,270 360.4961,275 361.7201,280 362.9421,290 365.3861,300 367.8281,310 370.2671,320 372.7041,325 373.9221,330 375.1391,340 377.5721,350 380.0031,360 382.4321,370 384.8591,375 386.0701,380 387.2831,390 389.7051,400 392.1251,410 394.5431,420 396.9591,425 398.1671,430 399.3731,440 401.7861,450 404.1971,460 406.6061,470 409.0131,475 410.2141,480 411.4181,490 413.8201,500 416.2201,525 422.2141,550 428.1961,575 434.1681,600 440.1281,625 446.0771,650 452.0161,675 457.9451,700 463.8631,725 469.7711,750 475.6691,775 481.5581,800 487.4371,825 493.3071,850 499.167

1,875 505.0191,900 510.8611,925 516.6951,950 522.5201,975 528.3372,000 534.1452,025 539.9452,050 545.7372,075 551.5222,100 557.2992,125 563.0682,150 568.8302,175 574.5852,200 580.3322,225 586.0722,250 591.8062,275 597.5322,300 603.2522,325 608.9652,350 614.6722,375 620.3722,400 626.0662,425 631.7552,450 637.4372,475 643.1132,500 648.7812,550 660.0932,600 671.3792,650 682.6402,700 693.8772,750 705.0902,800 716.2802,850 727.4492,900 738.5982,950 749.7253,000 760.8333,050 771.9223,100 782.9923,150 794.0423,200 805.0753,250 816.0903,300 827.0883,350 838.0673,400 849.0283,450 859.9743,500 870.9033,550 881.8163,600 892.712

3,650 903.5943,700 914.4593,750 925.3093,800 936.1443,850 946.9663,900 957.7733,950 968.5664,000 979.3444,050 990.1084,100 1,000.8584,150 1,011.5954,200 1,022.3184,250 1,033.0284,300 1,043.7244,350 1,054.4094,400 1,065.0824,450 1,075.7434,500 1,086.3904,550 1,097.0244,600 1,107.6464,650 1,118.2574,700 1,128.8544,750 1,139.4394,800 1,150.0124,850 1,160.5744,900 1,171.1254,950 1,181.6665,000 1,192.1985,100 1,213.2225,200 1,234.2035,300 1,255.1415,400 1,276.0375,500 1,296.8935,600 1,317.7095,700 1,338.4865,800 1,359.2255,900 1,379.9276,000 1,400.5936,100 1,421.2246,200 1,441.8206,300 1,462.3836,400 1,482.9126,500 1,503.4086,600 1,523.8726,700 1,544.3056,800 1,564.7066,900 1,585.0777,000 1,605.418

7,100 1,625.7297,200 1,646.0117,300 1,666.2657,400 1,686.4907,500 1,706.6887,600 1,726.8597,700 1,747.0027,800 1,767.1207,900 1,787.2128,000 1,807.2788,100 1,827.3198,200 1,847.3368,300 1,867.3298,400 1,887.2988,500 1,907.2438,600 1,927.1668,700 1,947.0658,800 1,966.9428,900 1,986.7969,000 2,006.6289,100 2,026.4389,200 2,046.2279,300 2,065.9969,400 2,085.7449,500 2,105.4739,600 2,125.1849,700 2,144.8789,800 2,164.5559,900 2,184.216

10,000 2,203.86112,500 2,688.96715,000 3,164.78017,500 3,633.36820,000 4,095.80025,000 5,005.72630,000 5,899.50835,000 6,780.24740,000 7,650.09650,000 9,363.09960,000 11,047.29970,000 12,708.35875,000 13,531.45780,000 14,350.12190,000 15,975.389

100,000 17,586.284125,000 21,560.7321.5E+05 2.538E+042.0E+05 3.308E+04

2.5E+05 4.066E+043.0E+05 4.817E+044.0E+05 6.267E+045.0E+05 7.699E+046.0E+05 9.113E+047.0E+05 1.051E+058.0E+05 1.189E+059.0E+05 1.326E+051.0E+06 1.462E+051.5E+06 2.126E+052.0E+06 2.781E+052.5E+06 3.427E+053.0E+06 4.064E+054.0E+06 5.313E+055.0E+06 6.544E+056.0E+06 7.761E+057.0E+06 8.965E+058.0E+06 1.016E+069.0E+06 1.134E+061.0E+07 1.252E+061.5E+07 1.828E+062.0E+07 2.398E+062.5E+07 2.961E+063.0E+07 3.517E+064.0E+07 4.610E+065.0E+07 5.689E+066.0E+07 6.758E+067.0E+07 7.816E+068.0E+07 8.866E+069.0E+07 9.911E+061.0E+08 1.095E+071.5E+08 1.604E+072.0E+08 2.108E+072.5E+08 2.607E+073.0E+08 3.100E+074.0E+08 4.071E+075.0E+08 5.032E+076.0E+08 5.984E+077.0E+08 6.928E+078.0E+08 7.865E+079.0E+08 8.797E+071.0E+09 9.725E+071.5E+09 1.429E+082.0E+09 1.880E+082.5E+09 2.328E+083.0E+09 2.771E+084.0E+09 3.645E+085.0E+09 4.510E+08

6.0E+09 5.368E+087.0E+09 6.220E+088.0E+09 7.066E+089.0E+09 7.909E+081.0E+10 8.747E+081.5E+10 1.288E+092.0E+10 1.697E+092.5E+10 2.103E+093.0E+10 2.505E+094.0E+10 3.299E+095.0E+10 4.087E+096.0E+10 4.868E+097.0E+10 5.643E+098.0E+10 6.414E+099.0E+10 7.183E+091.0E+11 7.948E+091.5E+11 1.170E+102.0E+11 1.550E+102.5E+11 1.920E+103.0E+11 2.290E+104.0E+11 3.020E+105.0E+11 3.750E+106.0E+11 4.470E+107.0E+11 5.190E+108.0E+11 5.890E+109.0E+11 6.580E+101.0E+12 7.280E+101.5E+12 1.080E+112.0E+12 1.420E+11

Manual Interpolation (Example)

Q(t)

4.5394.30

3.893

) for values of dimensionless time t D

Table 4-7 Dimensionless water influx for finite outcroping radial aquifer (courtesy of SPE)3

1.5 2 2.5

0.05 0.276 0.05 0.278 0.1 0.408 0.30.06 0.304 0.05 0.345 0.15 0.509 0.40.07 0.33 0.1 0.404 0.2 0.599 0.50.08 0.354 0.125 0.458 0.25 0.681 0.60.09 0.375 0.15 0.507 0.3 0.758 0.70.1 0.395 0.175 0.553 0.35 0.829 0.8

0.11 0.414 0.2 0.597 0.4 0.897 0.90.12 0.431 0.225 0.638 0.45 0.962 10.13 0.446 0.25 0.678 0.5 1.024 1.250.14 0.461 0.275 0.715 0.55 1.083 1.50.15 0.474 0.3 0.751 0.6 1.14 1.750.16 0.486 0.325 0.785 0.65 1.195 20.17 0.497 0.35 0.817 0.7 1.248 2.250.18 0.507 0.375 0.848 0.75 1.229 2.50.19 0.517 0.4 0.877 0.8 1.348 2.750.2 0.525 0.425 0.905 0.85 1.395 3

0.21 0.533 0.45 0.932 0.9 1.44 3.250.22 0.541 0.475 0.958 0.95 1.484 3.50.23 0.548 0.5 0.982 1 1.526 3.750.24 0.554 0.55 1.028 1.1 1.605 40.25 0.559 0.6 1.07 1.2 1.679 4.250.26 0.565 0.65 1.108 1.3 1.747 4.50.28 0.574 0.7 1.143 1.4 1.811 4.750.3 0.582 0.75 1.174 1.5 1.87 5

0.32 0.588 0.8 1.203 1.6 1.924 5.50.34 0.594 0.9 1.253 1.7 1.975 60.36 0.599 1 1.295 1.8 2.022 6.50.38 0.603 1.1 1.33 2 2.106 70.4 0.606 1.2 1.358 2.2 2.178 7.5

0.45 0.613 1.3 1.382 2.4 2.241 80.5 0.617 1.4 1.402 2.6 2.294 90.6 0.621 1.6 1.432 2.8 2.34 100.7 0.623 1.7 1.444 3 2.38 110.8 0.624 1.8 1.453 3.4 2.444 12

2 1.468 3.8 2.491 142.5 1.487 4.2 2.525 163 1.495 4.6 2.551 184 1.499 5 2.57 205 1.5 6 2.599 227 2.613 24 4 308 2.619 35 5.624 469 2.622 40 5.625 5010 2.624

rD= rD= rD= rD=

tD Qt tD Qt tD Qt tD

Table 4-7 Dimensionless water influx for finite outcroping radial aquifer (courtesy of SPE)3

3 3.5 4 4.5

0.755 1 1.571 2 2.442 2.5 2.8350.895 1.2 1.761 2.2 2.598 3 3.1961.023 1.4 1.94 2.4 2.748 3.5 3.5371.143 1.6 2.111 2.6 2.893 4 3.8591.256 1.8 2.273 2.8 3.034 4.5 4.1651.363 2 2.427 3 3.17 5 4.4541.465 2.2 2.574 3.25 3.334 5.5 4.7271.563 2.4 2.715 3.5 3.493 6 4.9861.791 2.6 2.849 3.75 3.645 6.5 5.2311.997 2.8 2.976 4 3.792 7 5.4642.184 3 3.098 4.25 3.932 7.5 5.6842.353 3.25 3.242 4.5 4.068 8 5.8922.507 3.5 3.379 4.75 4.198 8.5 6.0892.646 3.75 3.507 5 4.323 9 6.2762.772 4 3.628 5.5 4.56 9.5 6.4532.886 4.25 3.742 6 4.779 10 6.6212.99 4.5 3.85 6.5 4.982 11 6.93

3.084 4.75 3.951 7 5.169 12 7.2083.17 5 4.047 7.5 5.343 13 7.457

3.247 5.5 4.222 8 5.504 14 7.683.317 6 4.378 8.5 5.653 15 7.883.381 6.5 4.516 9 5.79 16 8.063.439 7 4.639 9.5 5.917 18 8.3653.491 7.5 4.749 10 6.035 20 8.6113.581 8 4.846 11 6.246 22 8.8093.656 8.5 4.932 12 6.425 24 8.9683.717 9 5.009 13 6.58 26 9.0973.767 9.5 5.078 14 6.712 28 9.23.809 10 5.138 15 6.825 30 9.2833.843 11 5.241 16 6.922 34 9.4043.894 12 5.321 17 7.004 38 9.4813.928 13 5.385 18 7.076 42 9.5323.951 14 5.435 20 7.189 46 9.5653.967 15 5.476 22 7.272 50 9.5863.985 16 5.506 24 7.332 60 9.6123.993 17 5.531 26 7.377 70 9.6213.997 18 5.551 30 7.434 80 9.6233.999 20 5.579 34 7.464 90 9.6243.999 25 5.611 38 7.481 100 9.6255.621 42 7.497.4947.497

rD= rD= rD=

Qt tD Qt tD Qt tD Qt

Manual Interpolation (Example)

Q(t)

Upper limit 0.15 0.461target => 0.12 0.45

Lower limit 0.10 0.446

tD