## 留言板

 引用本文: 陈天翔, 吕涛, 林爱民. 油气藏两相渗流问题的多重网格法[J]. 应用数学和力学, 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.

## 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.
•  [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).

##### 计量
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##### 出版历程
• 收稿日期:  1988-05-03
• 刊出日期:  1989-07-15

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