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

Lee, Sanghyun; Wheeler, Mary F.; Wick, Thomas

doi:10.1016/j.cma.2016.02.037

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

Journal Article · Wed Jun 15 00:00:00 EDT 2016 · Computer Methods in Applied Mechanics and Engineering

DOI:https://doi.org/10.1016/j.cma.2016.02.037· OSTI ID:1387952

^[1]; Wheeler, Mary F. ^[1];

^[2]

Univ. of Texas, Austin, TX (United States)
Austrian Academy of Sciences, Linz (Austria); Technische Univ. München, Garching bei München (Germany)

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. Finally in particular, mesh refinement allows us to perform systematic studies with respect to the spatial discretization parameter.

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Research Organization:: Energy Frontier Research Centers (EFRC) (United States). Center for Frontiers of Subsurface Energy Security (CFSES)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0001114; UTA 10-000444; STNO-450291834

OSTI ID:: 1387952

Alternate ID(s):: OSTI ID: 1358958

Journal Information:: Computer Methods in Applied Mechanics and Engineering, Vol. 305, Issue C; Related Information: CFSES partners with University of Texas at Austin (lead); Sandia National Laboratory; ISSN 0045-7825

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 176 works

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The effect of stress boundary conditions on fluid‐driven fracture propagation in porous media using a phase‐field modeling approach Shiozawa, Sogo; Lee, Sanghyun; Wheeler, Mary F. International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 43, Issue 6 https://doi.org/10.1002/nag.2899	journal	January 2019
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