水平井油藏数值模拟的有限元方法

本文对底水油藏水平井三维两相渗流的数学模型给出了一种有限单元解法。在求解过程中，对压力场采用基于Ｇａｌｅｒｋｉｎ方法的经典有限元技术，对饱和度场，引入了非标准的不连续有限元方法，以反映实际油藏中水驱前缘的含水饱和度不连续跃度的性质。整个过程采用计算功能极强的ＮＤＰ－ＦＯＲＴＲＡＮ语言编程实现，对有限元整体刚度矩阵采用变带宽一维压缩存储，以节省数组存储空间，进一步提高程序的运算能力和运行速度。

A Finite Element Method for Horizontal Well Reservoir Simulation

Starting from the physical model of the bottom-water-drive reservoir, this paper established the mathematical model of horizontal well of 3-D diphase flow in bottom-water-drive reservoir and solve the equation by means of the Finite Element Method. When solving the pressure equations, the classical Finite Element Method based on Galerkin method is used, and the discontinuous Finite Element Method is used in solving the saturation equations to take into account the discontinuous saturation front. Using this FEM Model, the sensitive factor of the oil and water production rate of horizontal well bottom-water-drive reservoir was analysed.