Numerical simulation of oil migration and accumulation is to describe the h
istory of oil migration and accumulation in basin evolution. It is of great
value in the exploration oil resources and their rational evaluation. This
paper, puts forward the mathematical model and the modified method of alte
rnating-direction implicit interactive scheme. For the famous hydraulic exp
eriment of secondary migration-accumulation (cut plane and plane problem),
it has been done the numerical simulation test, and both the computational
and experimental results are identical.