Krylov subspace projection method and its application on oil reservoir simulation |
| |
Authors: | Liu Xiaoming Associate Professor Lu Zhiming Liu Yulu |
| |
Institution: | (1) Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, 200072 Shanghai, P R China |
| |
Abstract: | 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 matrixH
m, 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-Elimination 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 further presented.
Paper from Liu Yulu, Member of Editorial Committee, AMM
Foundation item: the National Natural Science Foundation of China (19872043)
Biography: Liu Xiaoming (1950≈) |
| |
Keywords: | Krylov subspace methods block PE method numerical oil reservoir simulation |
本文献已被 CNKI SpringerLink 等数据库收录! |
| 点击此处可从《应用数学和力学(英文版)》浏览原始摘要信息 |
| 点击此处可从《应用数学和力学(英文版)》下载免费的PDF全文 |