计算物理 ›› 1989, Vol. 6 ›› Issue (1): 38-48.

• 论文 • 上一篇    下一篇

两相渗流数值模拟非线性处理的稳定性分析

张子香, 曲德斌, 范江   

  1. 大庆石油学院, 大庆市
  • 收稿日期:1987-11-05 修回日期:1988-10-04 出版日期:1989-03-25 发布日期:1989-03-25

A NONLINEAR STABILITY ANALYSIS FOR NUMERICAL SIMULATION OF TWO PHASE FLOW

Zhang Zixing, Qu Debin, Fan Jiang   

  1. Daqing Petroleum Institute, Heilongjiang
  • Received:1987-11-05 Revised:1988-10-04 Online:1989-03-25 Published:1989-03-25

摘要: 描述油藏动态的偏微分方程的非线性处理是油藏数值模拟研究的重要课题之一一。本文对两相渗流的数值模拟采用显示法,全隐式法,半隐式导数法和半隐式弦斜率导数法进行了非线性处理,用Von Naumann方法对各种处理的稳定性进行了理论分析,并用大庆升平油田的实际数据对这四种非线性处理方法进行了计算,从几个方面进行了分析比较,所得结论对进行油藏数值模拟有重要的指导意义。

Abstract: In This paper, nonlinear stability has been analysed for numerical simulation of two phase flow using explicit, completely implicit, semi-implicit with old derivative and semi-implicit with chord slope derivative. Several stability conditions are given by Van Naumann method, Through out Theoretical analysis and practical calculation, The above four appreaches of nonlinear problem are analysed and compared from several aspects. This recearch is important in mathematics and mcmerical reservoir simulation itself.