A phase-field modeling approach of hydraulic fracture in saturated porous media |
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| Affiliation: | 1. The Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, TX 78712, USA;2. RICAM, Austrian Academy of Sciences, Altenberger Str. 69, 4040 Linz, Austria;3. John and Willie Leone Family Department of Energy and Mineral Engineering, The Pennsylvania State University, University Park, PA 16802, USA;1. Center for Subsurface Modeling, The Institute of Computational Engineering and Sciences, The University of Texas at Austin, 201 East 24th Street, Austin TX 78712, USA;2. Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, 4040 Linz, Austria;3. Fakultät für Mathematik, Lehrstuhl M17, Technische Universität München, 85747 Garching bei München, Germany;1. Université Paris-Est, Laboratoire Modélisation et Simulation Multi Échelle, MSME UMR 8208 CNRS, 5 bd Descartes, 77454 Marne-la-Vallée, France;2. The State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan, China;3. Université Paris-Est, Laboratoire Navier, CNRS UMR 8205, ENPC, IFSTTAR, 6/8 avenue Blaise Pascal, 77455 Marne-la-Vallée, France |
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| Abstract: | Continuum porous media theories, extended by a diffusive phase-field modeling (PFM) approach, introduce a convenient and efficient tool to the simulation of hydraulic fracture in fluid-saturated heterogeneous materials. In this, hydraulic- or tension-induced fracture occurs in the solid phase. This leads to permanent local changes in the permeability, the volume fractions of the constituents as well as the interstitial-fluid flow. In this work, the mechanical behaviors of the multi-field, multi-phase problem of saturated porous media, such as the pore-fluid flow and the solid-skeleton deformation, are described using the macroscopic Theory of Porous Media (TPM). To account for crack nucleation and propagation in the sense of brittle fracture, the energy-minimization-based PFM procedure is applied, which approximates the sharp edges of the crack by a diffusive transition zone using an auxiliary phase-field variable. Furthermore, the PFM can be implemented in usual continuum finite element packages, allowing for a robust solution of initial-boundary-value problems (IBVP). For the purpose of validation and comparison, simulations of a two-dimensional IBVP of hydraulic fracture are introduced at the end of this research paper. |
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| Keywords: | Hydraulic fracture Phase-field modeling PFM Porous media TPM |
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