【摘要】 这里提出以代表质量守恒的反应对流扩散方程作为主控方程的烃类垂向微渗漏方程组的差分格式,即双向一维分裂校正差分格式,并建立地层积木块模型对该格式的边界进行讨论。差分格式是预估～校正差分格式的一种改进形式,它融合了Crank-Nicolson格式、交替方向隐格式、预估～校正差分格式的特点,具有二阶差分精度,且无条件稳定。由于差分格式将每一步都归结为求解三对角线方程组,因此适合并行运算。数值实验表明,应用差分格式的数值模拟结果符合烃类垂向微渗漏过程的理论模型,可作为烃类垂向微渗漏过程分析的计算方法。更多还原

【Abstract】 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.更多还原