Details
| Original language | English |
|---|---|
| Pages (from-to) | 111-132 |
| Number of pages | 22 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 305 |
| Publication status | Published - 15 Jun 2016 |
| Externally published | Yes |
Abstract
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.
Keywords
- Adaptive finite elements, Fluid filled fracture, Phase field, Porous media, Primal-dual active set
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
- Physics and Astronomy(all)
- Computer Science(all)
- Computer Science Applications
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In: Computer Methods in Applied Mechanics and Engineering, Vol. 305, 15.06.2016, p. 111-132.
Research output: Contribution to journal › Article › Research › peer review
}
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 -