Reservoir cylindrical system and the well centered the reservoir
Course Project
A well is producing a water-drive undersaturated oil reservoir. Reservoir is a cylindrical system and the well is centered in the reservoir. Total liquid production rate at reservoir conditions is equal to water encroachment rate. Reservoir and fluid properties are given in Table 1.
| Sw | So | Kro | Krw |
| 0.00% | 100.00% | 0.4800 | 0.0000 |
| 20.00% | 80.00% | 0.4800 | 0.0000 |
| 21.16% | 78.84% | 0.4594 | 0.0002 |
| 22.32% | 77.68% | 0.4393 | 0.0007 |
| 23.48% | 76.52% | 0.4196 | 0.0017 |
| 24.64% | 75.36% | 0.4005 | 0.0030 |
| 25.80% | 74.20% | 0.3819 | 0.0047 |
| 26.96% | 73.04% | 0.3638 | 0.0067 |
| 28.12% | 71.88% | 0.3461 | 0.0091 |
| 29.28% | 70.72% | 0.3290 | 0.0119 |
| 30.43% | 69.57% | 0.3123 | 0.0151 |
| 31.59% | 68.41% | 0.2961 | 0.0187 |
| 32.75% | 67.25% | 0.2804 | 0.0226 |
| 33.91% | 66.09% | 0.2651 | 0.0269 |
| 35.07% | 64.93% | 0.2504 | 0.0316 |
| 36.23% | 63.77% | 0.2361 | 0.0366 |
| 37.39% | 62.61% | 0.2222 | 0.0420 |
| 38.55% | 61.45% | 0.2088 | 0.0478 |
| 39.71% | 60.29% | 0.1959 | 0.0540 |
| 40.87% | 59.13% | 0.1835 | 0.0605 |
| 42.03% | 57.97% | 0.1715 | 0.0674 |
| 43.19% | 56.81% | 0.1599 | 0.0747 |
| 44.35% | 55.65% | 0.1488 | 0.0823 |
| 45.51% | 54.49% | 0.1381 | 0.0904 |
| 46.67% | 53.33% | 0.1279 | 0.0988 |
| 47.83% | 52.17% | 0.1181 | 0.1075 |
| 48.99% | 51.01% | 0.1087 | 0.1167 |
| 50.14% | 49.86% | 0.0998 | 0.1262 |
| 51.30% | 48.70% | 0.0913 | 0.1361 |
| 52.46% | 47.54% | 0.0832 | 0.1464 |
| 53.62% | 46.38% | 0.0755 | 0.1570 |
| 54.78% | 45.22% | 0.0683 | 0.1680 |
| 55.94% | 44.06% | 0.0614 | 0.1794 |
| 57.10% | 42.90% | 0.0550 | 0.1912 |
| 58.26% | 41.74% | 0.0489 | 0.2033 |
| 59.42% | 40.58% | 0.0432 | 0.2158 |
| 60.58% | 39.42% | 0.0379 | 0.2287 |
| 61.74% | 38.26% | 0.0330 | 0.2420 |
| 62.90% | 37.10% | 0.0285 | 0.2556 |
| 64.06% | 35.94% | 0.0243 | 0.2696 |
| 65.22% | 34.78% | 0.0205 | 0.2840 |
| 66.38% | 33.62% | 0.0171 | 0.2987 |
| 67.54% | 32.46% | 0.0140 | 0.3138 |
| 68.70% | 31.30% | 0.0112 | 0.3293 |
| 69.86% | 30.14% | 0.0088 | 0.3452 |
| 71.01% | 28.99% | 0.0067 | 0.3615 |
| 72.17% | 27.83% | 0.0049 | 0.3781 |
| 73.33% | 26.67% | 0.0034 | 0.3951 |
| 74.49% | 25.51% | 0.0022 | 0.4124 |
| 75.65% | 24.35% | 0.0013 | 0.4302 |
| 76.81% | 23.19% | 0.0007 | 0.4483 |
| 77.97% | 22.03% | 0.0002 | 0.4668 |
| 79.13% | 20.87% | 0.0000 | 0.4856 |
| 80.00% | 20.00% | 0.0000 | 0.5000 |
| 80.29% | 19.71% | 0.0000 | 0.5000 |
| 81.45% | 18.55% | 0.0000 | 0.5000 |
| 82.61% | 17.39% | 0.0000 | 0.5000 |
| 83.77% | 16.23% | 0.0000 | 0.5000 |
| 84.93% | 15.07% | 0.0000 | 0.5000 |
| 86.09% | 13.91% | 0.0000 | 0.5000 |
| 87.25% | 12.75% | 0.0000 | 0.5000 |
| 88.41% | 11.59% | 0.0000 | 0.5000 |
| 89.57% | 10.43% | 0.0000 | 0.5000 |
| 90.72% | 9.28% | 0.0000 | 0.5000 |
| 91.88% | 8.12% | 0.0000 | 0.5000 |
| 93.04% | 6.96% | 0.0000 | 0.5000 |
| 94.20% | 5.80% | 0.0000 | 0.5000 |
| 95.36% | 4.64% | 0.0000 | 0.5000 |
| 96.52% | 3.48% | 0.0000 | 0.5000 |
| 97.68% | 2.32% | 0.0000 | 0.5000 |
| 98.84% | 1.16% | 0.0000 | 0.5000 |
| 100.00% | 0.00% | 0.0000 | 0.5000 |
Assuming the effects of capillary pressure and gravity force can be ignored, determine the following:
Plot water front location versus producing time
Plot cumulative oil production versus producing time. Producing time starts from the beginning of production to water breakthrough and from water breakthrough to 5000 hours after water breakthrough