Page 158 - Formation Damage during Improved Oil Recovery Fundamentals and Applications

136 Thomas Russell et al.

(A) T X =X ml +αT
1 X =X w +αT X = X mJ + αT X = X crl + αT 9
T 1 8 X = X w + T
2
T crI 7
T mJ 6 0
T 3 4 5 1
T mI
3
X w X mI X 3 X mJ X crI X 1 1 X
(B) C
T=0
T mJ
T mI
T 3 T crI

T 1

X w X mI X 3 X mJ X crI X 1 1 X
(C) S s
T mJ
T 3
T crI
T 1
T mI
T=0
X w X mI X 3 X mJ X crI X 1 1 X
(D) S a
T
S aI 0
S (γ ) I T crI T 1
cr
T mJ
T 3 S (γ )
cr
J
T mI
X w X mI X 3 X mJ X crI X 1 1 X
Figure 3.22 Exact solution of low-salinity water injection in vertical well with fines
migration: (A) concentration front in (X,T)-plane; (B) suspended concentration profiles
in four moments k 5 1, 2, 3, 4; (C) profiles of strained concentration in the same four
moments (X: dimensionless spatial coordinate, T: dimensionless time, C: dimension-
less suspended concentration, S s : dimensionless strained concentration, S a : dimen-
sionless attached concentration, S cr : dimensionless maximum retention function, γ:
fluid salinity).