摘要
A kind of differential scheme,named bidirectional one-dimension splitting-correction scheme,is presented to solve the mass conservation equation,a sort of reaction-convection-diffusion equation,which is used to describe hydrocarbon micro-seepage processes.This scheme,integrating the features of Crank-Nicolson scheme,the features of alternative-direction-implicit scheme,and the features of predictor-corrector scheme,and being characterized by second order accuracy and unconditional stability,is an improved form of predictor-corrector scheme.Since each step of the scheme is formulated as tri-diagonal system,the scheme belongs to parallel algorithm.The numerical experiments are conducted to indicate that the scheme can be used to solve the hydrocarbon micro-seepage processes equation,and its solutions are consistent with the theoretical model of hydrocarbon micro seepage.