Page 381 - Fundamentals of Reservoir Engineering

NATURAL WATER INFLUX 316

-6
i.e. U = 1.119×.3889×.25×100×7×10 ×(9200) 2
U = 6446 bbls/psi

Time dimensionless ∆p j W D W D
(years) time (psi) (r eD = 10) (r eD = 5)
0 0 120
1 5.67 225 4.95 4.88

2 11.34 196 8.12 7.46
3 17.01 170 10.90 9.10
4 22.68 146 13.50 10.09

5 28.35 123 15.90 10.83
6 34.02 105 18.10 11.27
7 36.69 84 20.20 11.52
8 45.36 64 22.20 11.69
9 51.03 47 24.00 11.81

10 56.70 25.70 11.89
TABLE 9.4
The water influx can now be calculated, using values of ∆p j and W D listed in table 9.4,
as shown in table 9.5.

T W e = U n1 p W D (T D - t D ) W e
−
(years) ∆ j j (MMrb)
j0
=
1 6446 (120×4.95) 3.829
2 6446 (120×8.12 + 225×4.95) 13.460

3 6446 (120×10.90 + 225×8.12 + 196×4.95) 26.462
4 6446 (120×13.50 + 225×10.90 + 196×8.12 + 170×4.95) 41.935
5 6446 (120×15.90 + 225×13.50 + 196×10.90 + 170×8.12 59.207
+ 146×4.95)
6 6446 (120×18.10 + 225×15.90 + 196×13.50 + 170×10.90 77.628
+ 146×8.12 + 123×4.95)
7 6446 (120×20.20 + 225×18.10 + 196×15.90 + 170×13.50 96.805
+ 146×10.90 + 123×8.12 + 105×4.95)
8 6446 (120×22.20 + 225×20.20 + 196×18.10 + 170×15.90 116.284
+ 146×13.50 + 123×10.90 + 105×8.12 + 84×4.95)

9 6446 (120×24.00 + 225×22.20 + 196×20.20 + 170×18.10 135.601
+ 146×15.90 + 123×13.50 + 105×10.90 + 84×8.12
+ 64×4.95)

10 6446 (120×25.70 + 225×24.00 + 196×22.20 + 170×20.20 154.401
+ 146×18.10 + 123×15.90 + 105×13.50 + 84×10.90
+ 64×8.12 + 47×4.95)
TABLE 9.5