裂缝孔隙介质中二相驱动问题的交替方向有限元方法及理论分析

The Alternating Direction Finite Element Methodand Analysis for Two Phase Incompressible Flow in Naturally Fractured Reservoirs

考虑裂缝孔隙介质中二相驱动问题的数值方法及理论分析 .对压力方程采用混合有限元方法 ,对裂缝和岩块系统上的饱和度方程采用交替方向有限元方法 ,证明了交替方向有限元格式具有最优 L2 -模和 H1-模误差估计 .

The numerical method and analysis for the mathematical model for two phase incom pressible flow in natrurally fractured reservoirs are considered. The mixed finite element method is adopted for the pressure equation and alterna ting direction method is proposed for the satuation equations in the fissures an d in the rocks respectively. Optimal error estimates in L\+2 norm and H\+1 norm are derived for the alternating direction finite element method.