Page 471 - Petrophysics
P. 471

RADIAL FLOW SYSTEMS           439


                                                         TABLE 7.1
                                     VALUES OF THE SHAPE FACTOR FOR VARIOUS WELL LOCATIONS
                                                  AND DRAINAGE AREA SHAPES

                                      System     CA                    System       CA
                                      0 31.62                          +j1       21.83


                                      rl  30.88
                                      0                                          4.51

                                                31.6
                                                                                  2.08
                                      //        27.6                               2.69

                                     mo.                                           0.232

                                                27.1

                                                                                   0.1 15
                                  t&            21.9

                                                                                   3.335
                                                21.83


                                                  5.38                             3.1 57

                                        5
    1       1          .           I              2.36
                                                                                   0.581

                                      F11        12.98
                                        1
                                                                                   0.1 11
                                      F{  4.51
                                            1


                              Kumar  presented an  equation giving the  flow rate  at  any  radius r
                            between r,  and re  1211:


                                   [          r," 121
                            q,=q  1-(1-f)-                                               (7.65)


                            where q is the wellbore flow rate. If Equation 7.65 is substituted in Darcy's
                            law (Equation 7.52), and integration is carried out between r,  and re,
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