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松弛ILU预处理器在油藏数值模拟软件中的移植 被引量：2

IMPLEMENTATION OF THE RELAXED ILU PRECONDITIONER TORESERVOIR SIMULATORS
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摘要 In this paper, the Relaxed-ILU preconditioner is applied to solve the linear equations arising from the black oil models. Numerical experiments demonstrate that the method is superior to the ILU preconditioner which is already extensively used in reservoir simulations. We have implemented the relaxed-ILU preconditioner into some practical reservoir simulators. In this paper, the Relaxed-ILU preconditioner is applied to solve the linear equations arising from the black oil models. Numerical experiments demonstrate that the method is superior to the ILU preconditioner which is already extensively used in reservoir simulations. We have implemented the relaxed-ILU preconditioner into some practical reservoir simulators.
作者 戴民 郭艳玲 石济民 王瑞河
机构地区 北京大学数学科学学院 中国人民公安大学理科部 香港理工大学应用数学系 中国石油勘探开发研究院
出处 《数值计算与计算机应用》 CSCD 北大核心 2004年第3期183-191,共9页 Journal on Numerical Methods and Computer Applications
关键词 线性代数 网格方程 系数矩阵 条件数 迭代法 ILU 预处理器 ILU MILU relaxed preconditioner, numerical reservoir simulation
分类号 O245 [理学—计算数学]
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参考文献12

  • 1H.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.
  • 2W. Hackbusch, Iterative Solution of Large Sparse Linear Systems of Equations. Applied Math.Sci. Series, No. 95, Springer Verlag, 1994.
  • 3T. 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.
  • 4I. Gustafsson, A Class of First-order Factorization Methods. BIT, 18 (1978), 142-156.
  • 5I. Gustafsson, Modified incomplete cholesky (MIC) methods. Preconditioning Methods-Theory and Applications, edited by D. Evans, 265-293. Gordon and Breach, new York, 1983.
  • 6O. Axelsson and G. Lindskog. On the eigenvalue distribution of a class of preconditioning matrices.Numer. Math., 48 (1986), 479-498.
  • 7C. Ashcraft and R. Grimes. On vectorizing incomplete factorizations and SSOR preconditioners.SIAM J. Sci. Stat. Comput., 9 (1988), 122-151.
  • 8P.K.W. Vinsome, Orthomin, An Iterative Method for Solving Sparse Sets of Simultaneous Linear Equations, Paper SPE 5729, Society of Petroleum Engineers of AIME, 1976.
  • 9T.F. Chan, H.A. Van Der Vorst, Approximate and Incomplete Factorizations, 1994. (preprint)
  • 10J.A. Meijerink, H.A. Van Der Vorst, Guidelines for the Usage of Incomplete Decompositions in Solving Sets of Linear Equations as They Occur in Practical Problems, J. Comp. Phys., 44:1(1981), 134-155.

二级参考文献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).

共引文献2

同被引文献12

  • 1李晓梅,吴建平.稀疏线性方程组不完全分解预条件方法[J].计算机工程与科学,2006,28(8):59-62. 被引量：7
  • 2张烈辉,李允,代艳英.块预处理正交极小化方法及其在水平井油藏模拟中的应用[J].西南石油学院学报,1997,19(1):32-36. 被引量：2
  • 3Palagi C L, Aziz K. Use of Voronoi Grid in Reservoir Simu-lation Source : Proceedings-SPE Annual Technical Confer-ence and Exhibition, v Sigma, Reservoir Engineering,SPE79685,1991:77-92.
  • 4Faisal Al-Thawad, Dominic Agyapong, Raj Banerjee, M BIssaka, Saudi Aramco. Pressure Transient Analysis of Hori-zontal Wells in a Fractured Reservoir; Gridding BetweenArt and Science,87013 - MS,2004.
  • 5Gunasekera D, Cox J,Lindsey P. Generation and Applica-tion of K-orthogonal Grid Systems Source: Proceedings ofthe SPE Symposium on Reservoir Simulation, Spe 379981997:199-214.
  • 6Freddy H Escobar, Djebbar Tiab. PEBI Grid Selection forNumerical Simulation of Transient Tests, SPE 76783 -MS.
  • 7B L Beckner, A K Usadi and M B Ray and 0 V Diyankov,NeurOK Techsoft. Next Generation Reservoir SimulationUsing Russian Linear Solvers, SPE 103578 - MS,2006.
  • 8蔡大用,白峰杉.髙等数值分析[M].南京:河海大学出版社,1997:51 -52.
  • 9胡家赣,王邦荣,陈创飞,刘兴平.予条件共轭梯度法的收敛性[J].计算物理.1986(04)
  • 10钟宝江,王正盛,戴华.解线性方程组的广义共轭梯度法的一种推广[J].南京航空航天大学学报,1998,30(5):515-520. 被引量：3

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数值计算与计算机应用
2004年 第3期

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