摘要
该文应用无网格伽辽金法对油藏中的油-水两相渗流问题进行了研究。这种方法是基于移动最小二乘法来建立近似函数的,与传统的最小二乘法相比它具有紧支性其系数矩阵是稀疏的。文中较为详细地描述了油藏地层中油-水两相渗流数学模型的建立以及无网格伽辽金法的基本原理。推导了油水两相渗流问题的无网格伽辽金法具体计算格式,编制了相应的计算程序进行实例计算,其计算结果是可靠有效的,为进一步研究利用无网格方法求解复杂介质、边界条件的油藏多相渗流提供了基础。
In this paper, a kind of meshless （meshfree） methods, namely Element-Free C-alerkin Meshless Method （EFGM）, has been applied to the numerical simulation of two-phase flow through porous media in reservoir. The main feature of this approach is to use the approximation schemes in local supported domains based on Moving Least-Square method. As a result, Moving Least-Square method is different from the traditional LSM because it is local and its algebraic matrix is banded. In the numerical testing, it was applied to solve a 2D reservoir problem. Some preliminary numerical simulation results, which will be beneficial for us to further investigate reservoir simulations by the present method, have been obtained.
出处
《水动力学研究与进展（A辑）》
CSCD
北大核心
2006年第6期796-804,共9页
Chinese Journal of Hydrodynamics
关键词
无网格伽辽金法
油藏两相渗流
移动最小二乘法
影响域
Element-Free Galerkin Meshless Method
two-phase flow in reservoir
moving least-squares
domain of influence
