不规则多边形有限差分网格方法及其在油藏数值模拟中的应用  

A NEW FINITE DIFFERENCE METHOD WITH IRREGULAR GRIDS AND ITS APPLICATION IN RESERVOIR SIMULATION

作　　者：尹定[1] 

机构地区：[1]华北油田勘探开发研究院

出　　处：《石油学报》1990年第3期82-86,共5页Acta Petrolei Sinica

摘　　要：本文提出了一种新的任意多边形的网格划分差分方法。这种方法在某些方面和有限元法相似,但它能够进行油气藏多相流动模拟。它和一般矩形网格相比具有可能更好地逼近任意形状油藏、便于局部加密等优点。本文推导了不规则网格的差分方程,介绍了网格自动形成的方法,并将这种方法应用于双重介质底水油田的油水两相模拟程序中,取得了良好的效果。This paper presents a new finite difference method with irregular grids. This method is similar to the conventional finite element method is some aspects, but it can be used in the multi-phase folw reservoir simulator. Comparing with the widely used cartesian coordinate grid, it has the advantages of more flexible approximation of reservoir geometry, and convenient to refine locally. This paper set up the difference equations for the irregular grid system, and describes how to determine the grids automatically, and pre-sents the application of this method in a double porosity medium oil-water two-phase reservoir simulator with bottom water drive.

关 键 词：油藏 数值模拟 网格划分差分 

分 类 号：TE319[石油与天然气工程—油气田开发工程]