Abstract: Parallel numerical simulation of migration-accumulation of oil resources in porous media is to describe the process of oil migration and accumulation in basin evolution.It is of great value to the evaluation of oil resources and to the determination of the location and amount of oil deposite.This paper puts forward a numerical model,a parallel operator splitting-up implicit iterative scheme,parallel arithmetic program,parallel arithmetic information and alternating-direction mesh subdivision.It also discusses computation and analysis of different mesh step lengths.For the actual situation of Tanhai region of Shengli Petroleum Field,the numerical simulation test results and the actual conditions are coincident.For the model problem (nonlinear coupled system) optimal order estimates in l² norm are derived to determine the errors.The problem in the fields of permeation fluid mechanics and petroleus geology appears to be solved.

Key words: migration-accumulation of oil resources, multilayer parallel arithmetic, careful numeridal simulation, l² error estimates