两维两相不稳定渗流变分有限元数值模拟方法  

A VARIATIONAL FINITE ELEMENT METHOD TO SIMULATE TWO DIMENSION AND TWO PHASESUNSTEADY STATE FLOW THROUGH POROUS MEDIUM

作　　者：张子香[1] 宋洪才[1] 范江[1] 

机构地区：[1]大庆石油学院

出　　处：《石油学报》1992年第3期79-87,共9页Acta Petrolei Sinica

摘　　要：本文用变分有限元方法处理了两维两相非线性不稳定渗流模型。因为该模型是非椭圆型的,不能直接得到其能量泛函数。本文用非稳定流分解法处理这种非椭圆型方程,却获得了成功。文中采用八结点二次等参数单元给出了方程的数值解,对油田注水开发的实例,进行了计算,其结果令人满意。In this paper, a non-linear model for two dimension and two phases unsteady state flow through a porous medium is solved by a variational finite element method. Because of this model being non-elliptic a, its energy functional form can not be salved directly. However, it is successful to treat the non-elliptic model equation by the use of a breaking up unsteady state flow tecnique. The numerical solution of the equation is given by iso-par-ameter element of second order with eight nodal points. An example of a field developed by water injection is illustrated in this paper and the results are satisfactory.

关 键 词：饱和度 二维二相 变分法 有限元法 

分 类 号：TE357.6[石油与天然气工程—油气田开发工程]