Page 197 - Petrophysics 2E
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170    PETROPHYSICS: RESERVOIR ROCK PROPERTIES



                                                 TABLE 3.7
                                      PERMEABILITY DATA FOR WELL HBK5

                                     Interval                   K, mD
                                         1                        120
                                         2                        213
                                         3                        180
                                         4                        200
                                         5                        212
                                         6                        165
                                         7                        145
                                         8                        198
                                         9                        210
                                        10                        143
                                        11                         79
                                        12                        118
                                        13                        212
                                        14                        117





                       The arithmetic, geometric and harmonic averages of the core-derived
                     permeability values are, respectively:


                          Cki     120+ 213 + *  e  .  + 117  = 165 mD
                          --  -
                            n               14
                                            14
                          fklk~k3.. . kn =  4120 * 213 * . . . * 117 = 158.7 mD
                              n
                                    -           14           = 151.4mD
                                        1     1       +-  1
                           (.2 kl;)  - 120 + Ti5 +..-  117
                            I=  I
                       The  harmonic  averaging technique yields,  as expected,  the lowest
                     value  of  average permeability.  But  the  difference  between  the  three
                     averages is  not  significant,  implying that  the formation is  essentially
                     homogeneous.
                       (2)  The  effective  permeability  of  this  14-meter thick  formation  is
                     estimated from Equation 3.124.
                       From Equation 3.125,  we calculate the geometric mean of the natural
                     log of the corederived permeability values:


                     kG=$nklInk21nk3  ... lnkn=(7.173x lo’)&  =5.05SmD
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