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