期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 327, 期 -, 页码 894-918出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2016.09.063
关键词
Poromechanics; Preconditioners; Iterative methods; Mixed formulation; Algebraic multigrid
资金
- Reservoir Simulation Industrial Affiliates Consortium at Stanford University-SUPRI-B
- Total S.A. through the Stanford Total Enhanced Modeling of Source rock-STEMS-project
- University of Padova project Stable and efficient discretizations of the mechanics of faults
- U.S. Department of Energy by Lawrence Livermore National Laboratory [DE-AC52-07-NA27344]
We introduce a class of block preconditioners for accelerating the iterative solution of coupled poromechanics equations based on a three-field formulation. The use of a displacement/velocity/pressure mixed finite-element method combined with a first order backward difference formula for the approximation of time derivatives produces a sequence of linear systems with a 3 x 3 unsymmetric and indefinite block matrix. The preconditioners are obtained by approximating the two-level Schur complement with the aid of physically-based arguments that can be also generalized in a purely algebraic approach. A theoretical and experimental analysis is presented that provides evidence of the robustness, efficiency and scalability of the proposed algorithm. The performance is also assessed for a real-world challenging consolidation experiment of a shallow formation. (C) 2016 Elsevier Inc. All rights reserved.
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