Liu Xiaoming, Lu Zhiming, Liu Yulu. Krylov Subspace Projection Method and ItsApplication on Oil Reservoir Simulation[J]. Applied Mathematics and Mechanics, 2000, 21(6): 551-560.
Citation: Liu Xiaoming, Lu Zhiming, Liu Yulu. Krylov Subspace Projection Method and ItsApplication on Oil Reservoir Simulation[J]. Applied Mathematics and Mechanics, 2000, 21(6): 551-560.

Krylov Subspace Projection Method and ItsApplication on Oil Reservoir Simulation

  • Received Date: 1999-03-15
  • Rev Recd Date: 1999-12-10
  • Publish Date: 2000-06-15
  • Krylov subspace projection methods are known to be highly efficient for solving large linear systems.Many different versions arise from different choices to the left and right subspaces.These methods were classified into two groups in terms of the different forms of matrix Hm,the main properties in applications and the new versions of these two types of methods were briefly reviewed,then one of the most efficient versions,GMRES method was applied to oil reservoir simulation.The block Pseudo-Elinimation method was used to generate the preconditioned matrix.Numerical results show much better performance of this preconditioned techniques and the GMRES method than that of preconditioned ORTHMIN method,which is now in use in oil reservoir simulation.Finally,some limitations of Krylov subspace methods and some potential improvements to this type of methods are furtherly presented.
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