TY - JOUR

T1 - Pressure and fluid-driven fracture propagation in porous media using an adaptive finite element phase field model

AU - Lee, Sanghyun

AU - Wheeler, Mary F.

AU - Wick, Thomas

N1 - Funding Information: The authors want to acknowledge that contributions from S. Lee were supported by funding from the Center for Frontiers of Subsurface Energy Security, an Energy Frontier Research Center funded by the U.S. Department of Energy, Office of Science, and Office of Basic Energy Sciences , DOE Project # DE-SC0001114 . The research by M. F. Wheeler was partially supported by ConocoPhilips grant UTA 10-000444 , Statoil grant STNO-4502931834 , and T. Wick was partially supported by the Austrian Academy of Sciences , The Institute for Computational Engineering and Sciences JT Oden fellowship , and the Center for Subsurface Modeling at UT Austin . Publisher Copyright: © 2016 Elsevier B.V. Copyright: Copyright 2017 Elsevier B.V., All rights reserved.

PY - 2016/6/15

Y1 - 2016/6/15

N2 - 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.

AB - 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.

KW - Adaptive finite elements

KW - Fluid filled fracture

KW - Phase field

KW - Porous media

KW - Primal-dual active set

UR - http://www.scopus.com/inward/record.url?scp=84961653856&partnerID=8YFLogxK

U2 - 10.1016/j.cma.2016.02.037

DO - 10.1016/j.cma.2016.02.037

M3 - Article

AN - SCOPUS:84961653856

VL - 305

SP - 111

EP - 132

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

SN - 0045-7825

ER -