Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 367, Issue -, Pages -Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2020.113124
Keywords
Phase-field fracture; Porous media; Computer implementation; Numerical simulations; Handbook; IPACS
Funding
- CSM, United States
- NSF (National Science Foundation), United States [1911320]
- German Research Foundation, Priority Program 1748 [DFG SPP 1748, WI 4367/2-1, 392587580]
- Center for Subsurface Modeling
- J. T. Oden Faculty Fellowship Research Program from the Oden Institute for Computational Engineering and Sciences at the University of Texas at Austin, United States
- National Science Foundation, United States [NSF DMS-1913016]
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In this work, we review and describe our computational framework for solving multiphysics phase-field fracture problems in porous media. Therein, the following five coupled nonlinear physical models are addressed: displacements (geo-mechanics), a phase-field variable to indicate the fracture position, a pressure equation (to describe flow), a proppant concentration equation, and/or a saturation equation for two-phase fracture flow, and finally a finite element crack width problem. The overall coupled problem is solved with a staggered solution approach, known in subsurface modeling as the fixed-stress iteration. A main focus is on physics-based discretizations. Galerkin finite elements are employed for the displacement-phase-field system and the crack width problem. Enriched Galerkin formulations are used for the pressure equation. Further enrichments using entropy-vanishing viscosity are employed for the proppant and/or saturation equations. A robust and efficient quasi-monolithic semi-smooth Newton solver, local mesh adaptivity, and parallel implementations allow for competitive timings in terms of the computational cost. Our framework can treat two-and three-dimensional realistic field and laboratory examples. The resulting program is an in-house code named IPACS (Integrated Phase-field Advanced Crack Propagation Simulator) and is based on the finite element library deal.II. Representative numerical examples are included in this document. (C) 2020 Elsevier B.V. All rights reserved.
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