裂缝孔隙介质中驱动问题的特征交替方向有限元方法及分析  

An Alternating Direction FEM Combined with the Modified Method of Characteristic for Incompressible Flow in Naturally Fractured Reservoirs

作　　者：崔明 

机构地区：[1]山东大学数学与系统科学学院,济南250100

出　　处：《工程数学学报》2007年第5期890-894,共5页Chinese Journal of Engineering Mathematics

基　　金：国家自然科学基金(10271066).

摘　　要：本文考虑裂缝孔隙介质中驱动问题的数值方法及理论分析。我们分别对压力方程采用混合元方法,对裂缝系统上的浓度方程采用特征线交替方向有限元方法,对岩块系统上的浓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L^2-模和H^1-模误差估计。The numerical method and theoretical analysis of mathematical model for single phase incompressible flow in naturally fractured reservoirs are considered. The mixed finite element method is adopted to the pressure equation. The alternating direction method combined with the method of characteristic is considered for the saturation equation in the fissures, and alternating direction method is proposed for the saturation equation in the rocks. Optimal error estimates in L^2-norm and H^1-norm are derived for the characteristic-alternating direction finite element method.

关 键 词：交替方向有限元法 混合有限元法 特征线法 

分 类 号：O241.82[理学—计算数学]