Page 190 - Formation Damage during Improved Oil Recovery Fundamentals and Applications
P. 190

3           C 7  C 7  C 7  C 7  C 7  A 7  5
           ϕ)                              1 1 7  ffiffiffiC C 7  xC C 7  C C 7  C C 7  A C 7
           (X,                                                1  C  C  C  C  A
           in                                     Λ 2         !  ffiffiffi  X
           S s                                 e 2Λ p  2         X w 2 ϕ 2 p  s I
           concentration  ffiffiffiffiffiffiffiffiffiffi    ffiffi p  ϕ 1x w x2 p  2s I  ffiffiffiffiffiffiffiffiffiffiffi    ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi  ϕ  2  X w  s I  ffiffiffiffi 1  X A  Λ 2  ffiffiffiffiffiffiffiffiffiffi r  Λ


                                                         e 2Λ p

           particle  γ J  γ I  0        2Λ  ffiffi ; γ I  e  ffiffi p  ϕ 1X w x2 p  2s I  0  0  ffiffiffiffi s  X  e 2Λ p  Λ  e 2Λ X  2  Λ  ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi 1  ϕ A e  2  X w  s I  ffiffiffiffi   X  0


           strained         q p  x    2Λ  S aI e  2 X w Þ    ffiffiffiffiffiffiffiffiffiffi 0  X w 2 ϕ B  s I B  B  B  @  0  ffiffiffi @ X  s  2 2 2Λ  2 2 2Λ p
                             2πr e

           and                2 S cr     X  r  Λ          2 e Λ p  0  s I @  2 s I
           c,                S aI        ϕ 1 s I ð  0  B  B  B  e  B  B  B  B  B  B  @  0  B  B  B  B  @
           concentration  Solution      2  ΛS aI    6  6  6  6  6  1 ffiffiffi 6  6  6 X 1 2S cr s I B  6  6  6  6  4  ΛS aI  ffiffiffi 2  XΛ 2  2 p





           particle                                 2 p

           suspended      X ml Þ         X ml Þ




           γ,      ϕ . 0  , ϕ , 0  X crl Þ  X ml Þ , ϕ , 0  ϕ . 0  X crl Þ  X ml Þ , ϕ , 0  ϕ . 0
           transport  Domain  2s I X  ϕ , ϕð  X crl Þ , ϕ , ϕð  ϕð  ϕ , ϕð  X crl Þ , ϕ , ϕð  ϕð



           salt           ϕð             ϕð
           for  system
           solutions  auxiliary  X; ϕÞ  cX; ϕÞ          X; ϕÞ



           Analytical  the  for  Term  γð  ð            S s ð



           3.14       II
           Table  coordinate  Zone  III  I,  0,  0  I  II  III  0  I  II    III
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