Application of auxiliary space preconditioning in field-scale reservoir simulation

CSpace

	Application of auxiliary space preconditioning in field-scale reservoir simulation
其他题名	Application of auxiliary space preconditioning in field-scale reservoir simulation
	Hu XiaoZhe 1; Xu JinChao 1; Zhang ChenSong 2
	2013
发表期刊	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
卷号	56 期号:12 页码:2737-2751
摘要	In this paper, 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.
其他摘要	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.
关键词	ITERATIVE METHODS BLOCK EQUATIONS SYSTEMS GRIDS reservoir simulation black-oil model fully implicit method auxiliary space preconditioning algebraic multigrid method Krylov subspace iterative method
收录类别	CSCD
语种	英语
资助项目	[Petro-China Joint Research Funding] ; [National Science Foundation of USA] ; [Dean's Startup Fund, Academy of Mathematics and System Sciences] ; [State High Tech Development Plan of China (863 Program)]
CSCD记录号	CSCD:5017321
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/52795
专题	中国科学院数学与系统科学研究院
作者单位	1.中国科学院大学 2.中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Hu XiaoZhe,Xu JinChao,Zhang ChenSong. Application of auxiliary space preconditioning in field-scale reservoir simulation[J]. SCIENCE CHINA-MATHEMATICS,2013,56(12):2737-2751.
APA	Hu XiaoZhe,Xu JinChao,&Zhang ChenSong.(2013).Application of auxiliary space preconditioning in field-scale reservoir simulation.SCIENCE CHINA-MATHEMATICS,56(12),2737-2751.
MLA	Hu XiaoZhe,et al."Application of auxiliary space preconditioning in field-scale reservoir simulation".SCIENCE CHINA-MATHEMATICS 56.12(2013):2737-2751.