油-水两相渗流问题的无网格伽辽金法

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。

Solving two-phase fluid flow in reservoir with meshless method

In this paper,a kind of meshless(meshfree) methods,namely Element-Free Galerkin 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.