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Issue:ISSN 1006-5539
          CN 51-1183/TE

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    Your Position ：Home->Past Journals Catalog->2011 Vol.5

    Research on Numerical Reservoir Simulation Based on Preprocessing GMRES Algorithm
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    Key Words：Numerical reservoir simulation；Large?鄄scale linear equations；GMRES algorithm；
    Abstract：：With continuous development of numerical reservoir simulation，the researched reservoir types are more and more complex，accordingly，solving large?鄄scale linear equations is much more difficult. Based on solving large?鄄scale linear equations in numerical reservoir simulation，introduced is the generalized minimal residual algorithm（GMRES）. Discussed is the iterative principle of GMRES，conducted is matrix preconditioning of the equations by using incomplete LU resolution method，thereby，ill?鄄conditioned matrix can be improved. Practical reservoir simulation results show that the generalized minimal residual algorithm has demonstrated much more significant superior in arithmetic speed than the traditional method of Gauss?鄄Seidel iteration and the arithmetic speed can be doubled by the matrix preconditioning.
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