Abstract: Wellbore constrained equations were deduced considering separated layer water injection in a heavy oil model. A numerical model constrained by fine separated layer water injection was constructed. A linear system consisted of a seven-diagonal sparse coefficient matrix with attached columns and rows was derived, which was solved by partitioned matrix multiplication combined with preliminary treatment of conjugate gradient. Development effects of separated layer water injection and generalized water injection were compared and influences of segmentation and injection allocation models were assessed.

Key words: separated layer water injection, conjugate gradient, numerical reservoir simulation, heterogeneous, recovery