Page 45 - Fundamentals of Reservoir Engineering
P. 45

CONTENTS                                       XLV


                (p wf N  − p wf n  ) versus  n  ∆ q j  (  t  )                           (7.76)     217

                                             D
                  q −  q N        jN 1 q −  q N  p δ  D n  −  t δ  D − j 1
                   n
                                       n
                                  =+
                  ∆ p                                                                    (7.77)     225
                    1     versus log t ∆
                1−
                   Ct
                     ∆
                    162.6q B
                           µ
               kh =           o                                                          (7.78)     226
                        m

                             p     − p           k
                                −
                S =  1.151    wf(1 hr)  wf  − log   2  +  3.23                           (7.79)     226
                               −
                                11/ C t ∆      φµ cr w
                                 m
                ∆ pF  T   ∆ pT
                    ×   =                                                                (7.80)     229
                 q    F    q

                                                  s.cc / sec     r.cc / sec
                                     Q Mscf / d

                               atm                   Mscf / d     s.cc / sec         r  3
                ( pp wf ) psi        =                                µ 	 ln  e  −  + S 
  (8.1)    241
                  −
                                psi      2k mD       D   h ft   cm         r w  4
                                          π

                                                      mD         ft
                        711 Qµ   ZT     r   3
               pp   wf  =             ln  e  −  +  S                                      (8.2)     242
                 −

                            khp        r w  4
                   pp
                     +

               p =      wf                                                                (8.3)     242
                      2
                                            pp
                       pp
                        +                    +
                µ =  µ     wf     and Z =  Z     wf                                       (8.4)     242
                         2                     2
                        1422 Q ZT       r   3
                                µ
                 2
               p − p 2 wf  =  kh       ln r w e  −  4  +  S                               (8.5)     242

                         711 Q ZT      4 .000264kt
                               µ
                 2
               p −  p 2 wf  =         ln             +  2S                                (8.6)     242
                 i
                             kh          γ  φ µ  i  w 2
                                            ( ) c r
                         p  pdp
               mp      2                                                                  (8.7)     243
                  () =
                        p b  µ Z
                                                                             ()
                                                                          ∂ mp    2p ∂  p
               Then                                                             =         (8.8)     248
                                                                             r ∂  µΖ    r ∂
                                                                             ()
                                                                          ∂ mp    2p ∂  p
               and similarly                                                    =         (8.9)     248
                                                                             t ∂  µΖ    t ∂
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