Page 151 - Formation Damage during Improved Oil Recovery Fundamentals and Applications
P. 151

1 2 α
                                                       1 2 α
                                                    1 2 α
                                                      X
                                                          2
                                                          exp
                                                      2  i
                                                          1 2 αÞX 1 αX w
                                                      exp
                                                    X w
                                                      1 αX w
                                                   exp
                                                          ð
                                                X w
                                                      1 2 αÞX
                                                   1 2 αÞX 1 αX w
                                                          X
                                                      ð
                                                          2
                                                      X
                                                   ð
                                                          exp
                                                             2
                                                      2
                                                   X
                                                      exp
                                                    X w
                                                   2
           axisymmetric injection  water low-salinity  during  model analytical  Solution  1  0  0       q p 1 S cr ffiffiffi ; γ I  φ  X  2πr e  S aI =φ  0       q p 1 S cr ffiffiffi ; γ J  φ  X  2πr e  0         ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi    ffiffiffiffi 2 p  p  q p Λ  ffiffiffiffi ffi    p ffiffiffi ; γ I 2 αT  X  X  2  exp  2 S cr  S aI  X w  X  2πr e    ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi    ffiffiffiffi 2 p
                                                          2 S cr
                                                   1 S aI =φ exp
                                                          S aI
                                                             2 S cr
                                                X w
           the                           1    φ     2  exp     2 S cr    i  1  1  φ  1    S aI  φ h  1  1 2 αÞφ  ð
           in                                   S aI =φ  q p ffiffiffi ; γ I  X    1  S aI  1  φ  q p ffiffiffi ; γ J  2πr e  i X  1
           concentrations                     h     1  1 2 αÞφ S cr  ð  2πr e       q p ffiffiffi ; γ I  X  2πr e       2 S cr     q p ffiffiffi ; γ J  X  2πr e
           particle                              h   h  1  1 2 αÞφ S cr  ð    q p ffiffiffi ; γ I  X  2πr e  h  2 S cr  S aI  1 2 αÞφ
           and                                          h  S cr  h  1  ð
                                                         1  1 2 αÞφ
           salinity                                     h  ð
           for  1 T  . X w  1 T  , X w  A  1 T  . X w  B; C  1 T  . X w  D  1 T  . X w  A; B  1 T  , X w  D  1 T  , X w  0  1  3  4  5  6  7  8  9  2
           Formulae  Zones  X  X  X  X  X  X  C;  X
           3.8  Term  X; TÞ  Γð  S a ðX; TÞ  cðX; TÞ
           Table  Line  1  2  3  4  5  6  7  8  9  10  11  12  13  14  15  16  17
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