期刊
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
卷 305, 期 -, 页码 111-132出版社
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2016.02.037
关键词
Phase field; Fluid filled fracture; Adaptive finite elements; Porous media; Primal-dual active set
资金
- Center for Frontiers of Subsurface Energy Security, an Energy Frontier Research Center - U.S. Department of Energy, Office of Science, and Office of Basic Energy Sciences, DOE [DE-SC0001114]
- ConocoPhilips [UTA 10-000444]
- Statoil [STNO-4502931834]
- Austrian Academy of Sciences
- Institute for Computational Engineering and Sciences JT Oden fellowship
- Center for Subsurface Modeling at UT Austin
This work presents phase field fracture modeling in heterogeneous porous media. We develop robust and efficient numerical algorithms for pressure-driven and fluid-driven settings in which the focus relies on mesh adaptivity in order to save computational cost for large-scale 3D applications. In the fluid-driven framework, we solve for three unknowns pressure, displacements and phase field that are treated with a fixed-stress iteration in which the pressure and the displacement-phase-field system are decoupled. The latter subsystem is solved with a combined Newton approach employing a primal-dual active set method in order to account for crack irreversibility. Numerical examples for pressurized fractures and fluid filled fracture propagation in heterogeneous porous media demonstrate our developments. In particular, mesh refinement allows us to perform systematic studies with respect to the spatial discretization parameter. (C) 2016 Elsevier B.V. All rights reserved.
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