Page 43 - Fundamentals of Reservoir Engineering
P. 43

CONTENTS                                       XLIII


                0.0189 (3500 p )  =   α −   ½ p D(MBH)  (t )                             (7.47)     185
                             −
                                                     DA
                                wf
                           kh                         t +∆ t              4t
                                                                t
                7.08 10 -3      (p − p    ) 1.151 log      + p  () −  ½ ln  D            (7.48)     189
                                           =
                    ×
                          qB      i  ws(LIN)            t ∆   D  D         γ
                           µ
                              o
                                 kt
                t DA  =  0.000264    (t-hours)                                           (7.49)     189
                               φµ cA
                          qB
                            µ
               m =  162.6      o     psi/log.cycle                                       (7.50)     190
                            kh
                            kh
                7.08 10 -3       (p − p  ) =  p (t ) +  S                                (7.51)     190
                    ×
                          qB   o   i  wf     D  D
                            µ
                            (p      −  p  )        k
                S =  1.151   ws(LIN) 1 -hr  wf  −  log  +  3.23                          (7.52)     191
                                 m               φµ cr 2
                                                      w

                             ( )
               k =  k (abs )  × k ro S w                                                 (7.53)     191

                              qB         t +∆ t
                                µ
               p =  p − 162.2      o  log                                                (7.54)     192
                     i
                 ws
                                kh         t ∆
                            kh               n  ∆ q j
                7.08 10 -3       (p − p ws  ) =     p D  ( D  t  )  − p D  ( t∆  D )     (7.55)     193
                    ×
                                                      t + ∆
                                   i
                          qB   o             j1 q n    n     j D 1
                                                             −
                            µ
                           n
                                             =
                            kh                         t +∆ t
                7.08 10 -3      ( i  p    ) =  1.151 log  n
                    ×
                                 p −
                          qB   o      ws(LIN)             t ∆
                            µ
                           n
                                              n  ∆ q                    4t               (7.56)     193
                                                       t
                                          +        j  p D  ( D  +  t ∆  ) − ½ ln  D n
                                              j1 q n    n     j D 1      γ
                                                               −
                                              =
                 *   *         t n
               p −  p = m log                                                            (7.57)     194
                 n t           t
                                    kh    *
               p D(MBH) (t )0.01416 qB o  (p  - p) =  2.303 log (C  t )                  (7.58)     195
                       DA
                                                              A
                                                                 DA
                                    µ
                                    n
                                µ
                 *            qB  o
                               n
               p −  p =  162.6      log (C t  ) =  m log (C t  )                         (7.59)     195
                                         A DA
                                                         A DA
                               kh
                 *
               p −  p =  m log(C t    )                                                  (7.60)     195
                 n t  n t         A DA n
                ( p − p * ) ( p − p =  m log t t n                                       (7.61)     195
                 *
                                )
                        −
                  n t
                            n t
                              *
                            ( p − p )
                   t +∆ t
               log      s  =                                                             (7.62)     198
                      t ∆  s   m
                   t +∆ t
               log      s  = log (C t DA )                                               (7.63)     198
                                 A
                      t ∆  s
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