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三维三相黑油模型的MILU-CG方法及数值结果比较 被引量:3

MILU-CG METHOD AND NUMERICAL COMPARISON FOR A 3-DIMENSIONAL 3-PHASE BLACK-OIL MODEL. PED
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摘要 本文以参考文献[1]中SPE考题设计的三维三相黑油模型的地层参数、PVT表及生产方式为模拟的依据,利用LSOR、SSOR-CG、ILU-CG及MILU-CG方法进行模拟,结果表明MILU-CG方法较LSOR快10倍,较ILU-CG也快约1倍。随着问题规模的增加,MILU-CG显得更有效,因此是油藏数值模拟中值得重视和推广的好算法。 Based on the rock and PVT data given in 1980's SPE comparative solution project we employ four methods: LSOR, SSOR-CG, ILU-CG, and MILU-CG to simulate a 3-phase black-oil model. The numerical result demonstrates that the CPU time used by the modified incomplete LU decomposition conjugate gradient method (MILU-CG) is about one tenth of that used by LSOR method, and is about half of that used by the general ILU-CG method. Furthermore, as the scale of a problem is concerned f the finer the mesh is, the more effcient the method will be.
出处 《石油勘探与开发》 EI CAS CSCD 北大核心 1994年第6期46-52,共7页 Petroleum Exploration and Development
基金 香港大学与理工科研基金
关键词 三维模型 三相流动 黑油模型 数值模拟 3D model, three phase flow, block oil model, numberical simulation conjugate gradient method
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参考文献2

  • 1林小兵.二维多相油藏数值模拟的BILUCG算法[J]石油勘探与开发,1987(01).
  • 2张厚清,吕涛.底水气藏三维模拟与分数步长算法[J]石油学报,1986(04).

同被引文献23

  • 1马明学,鞠斌山.一种新的计算泥浆侵入储层电阻率分布的数学模型[J].测井技术,2004,28(6):503-507. 被引量:10
  • 2张建华,胡启,刘振华.钻井泥浆滤液侵入储集层的理论计算模型[J].石油学报,1994,15(4):73-78. 被引量:44
  • 3林纯增 张肪.钻井液侵入特征的测井应用.测井技术,2001,25(5).
  • 4H.A. Van der Vorst, The convergence behaviour of preconditioned CG and CG-S in the presence of rounding errors. Preconditioned Conjugate Gradient Methods, edited by O. Axelsson and L.Yu.Kolotilina, Springer-Verlag, 1990.
  • 5W. Hackbusch, Iterative Solution of Large Sparse Linear Systems of Equations. Applied Math.Sci. Series, No. 95, Springer Verlag, 1994.
  • 6T. Dupont, R. Kendall, and H. Rachford. An Approximate Factorization Procedure for Solving Self-adjoint Elliptic Difference Equations. SIAM J. Numer. Anal., 5 (1968), 559-573.
  • 7I. Gustafsson, A Class of First-order Factorization Methods. BIT, 18 (1978), 142-156.
  • 8I. Gustafsson, Modified incomplete cholesky (MIC) methods. Preconditioning Methods-Theory and Applications, edited by D. Evans, 265-293. Gordon and Breach, new York, 1983.
  • 9O. Axelsson and G. Lindskog. On the eigenvalue distribution of a class of preconditioning matrices.Numer. Math., 48 (1986), 479-498.
  • 10C. Ashcraft and R. Grimes. On vectorizing incomplete factorizations and SSOR preconditioners.SIAM J. Sci. Stat. Comput., 9 (1988), 122-151.

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