油气藏两相渗流问题的多重网格法

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名

邮箱

手机号码

标题

留言内容

验证码

The Multigrid Method for Reservoir Simulation

摘要: 油气藏数值模拟要解一套高维、非线性、奇异、不定常方程组,工作量很大.本文讨论非线性椭圆-抛物方程的多重网格算法,给出了四重网格计算子程序,并把它用于底水气田计算,与SOR法比较,计算结果完全相同,计算效率显著提高.

Abstract: This paper describes a way of solving the reservoir simulation pressure equation using mulligrid technique. The subroutine MG of four-grid method is presented. The result for 2-D two-phase problem is exactly the same as that of the SOR method and the CPU time is much less than that of the latter one.

[1]	Fedorenko,R.P.,A relaxation method for solving elliptic difference equation,U.S.S.R.Computational Math,and Math.Phys.1,5(1962),1092-1096.
[2]	Brandt,A.,Multi-level adaptive solution to boundary-value problems.,Math.Comp.,31(1977),333-390.
[3]	Hackbusch,W.,Convergence of multi-grid iterations applied to difference equations,Math.Comp.,34(1980),425-440.
[4]	Studen,K.,Multigrid methods:Fundamental algorithms,model problem analysis and applications,Multigrid Methods,Proceedings of the Conference,Koln-Porz(1981).
[5]	Aziz,K.,Petroleum Reservoir Simulator,Applied Science Publishers Ltd(1979).
[6]	张厚清、吕涛,底水气藏三维模拟与分数步长法,石油学报,7,4 (1986).
[7]	Hachbusch,W.,The Multigrid Method,Springer(1985).
[8]	Parter,S.V.and D.Kamowitg,A study of multigrid ideas,Science Report of University of Wisconsin-Madison(1984).
[9]	Crichlow,H.B.,Modern Reservoir Engineering-A Simulation Approcch(1977).
[10]	Spalding,D.B.,Numerical Prediction of Flow,Heat Transfer,Turbulence and Combustion,Pergamon Press(1983).