Application of auxiliary space preconditioning in field-scale reservoir simulation

Xiao Zhe Hu, Jin Chao Xu, Chen Song Zhang

Research output: Contribution to journalArticle

8 Scopus citations

Abstract

We study a class of preconditioners to solve large-scale linear systems arising from fully implicit reservoir simulation. These methods are discussed in the framework of the auxiliary space preconditioning method for generality. Unlike in the case of classical algebraic preconditioning methods, we take several analytical and physical considerations into account. In addition, we choose appropriate auxiliary problems to design the robust solvers herein. More importantly, our methods are user-friendly and general enough to be easily ported to existing petroleum reservoir simulators. We test the efficiency and robustness of the proposed method by applying them to a couple of benchmark problems and real-world reservoir problems. The numerical results show that our methods are both efficient and robust for large reservoir models.

Original languageEnglish (US)
Pages (from-to)2737-2751
Number of pages15
JournalScience China Mathematics
Volume56
Issue number12
DOIs
StatePublished - 2013

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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