Page 367 - Fundamentals of Reservoir Engineering
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NATURAL WATER INFLUX                                   302

                     which is expressed in Darcy units. The corresponding equation in field units, with t
                     measured in hours, is


                                         3
                                         −
                                                     ∆
                           W =  3.26 10 hw     φ kct  x p      (bbls)                               (9.14)
                                     ×
                             e
                                                πµ
                     Note that dimensionless time is not used in the above equations.
                          4.0
                                                                = 4.0  = 3.5

                                                               r eD  r eD
                          3.5                                               = 3.0
                                                                          r eD
                                                          =
                                                         r eD


                          3.0



                                                                                     r= 2.5
                                                                                     eD
                          2.5





                      W D  2.0






                                                                                           r= 2.0
                          1.5                                                               eD






                          1.0


                                                                                           r= 1.5
                                                                                            eD
                          0.5






                           0
                             0         1.0       2.0       3.0       4.0       5.0       6.0       7.0
                                                                         t D

                     Fig. 9.3   Dimensioniess water influx, constant terminal pressure case, radial flow.
                                (After Hurst and van Everdingen, ref. 1)
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