The Multigrid Method for Reservoir Simulation

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1989 > 10(7): 621-628

Chen Tian-xiang, Lü Tao, Lin Ai-min. The Multigrid Method for Reservoir Simulation[J]. Applied Mathematics and Mechanics, 1989, 10(7): 621-628.

Citation:

Chen Tian-xiang, Lü Tao, Lin Ai-min. The Multigrid Method for Reservoir Simulation[J]. Applied Mathematics and Mechanics, 1989, 10(7): 621-628.

Citation:

Chen Tian-xiang, Lü Tao, Lin Ai-min. The Multigrid Method for Reservoir Simulation[J]. Applied Mathematics and Mechanics, 1989, 10(7): 621-628.

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).