TY - JOUR

T1 - IPACS

T2 - Integrated Phase-Field Advanced Crack Propagation Simulator. An adaptive, parallel, physics-based-discretization phase-field framework for fracture propagation in porous media

AU - Wheeler, Mary F.

AU - Wick, Thomas

AU - Lee, Sanghyun

N1 - Funding Information: We thank Andro Mikeli? (Universit? de Lyon), Baehyun Min (Ewha Womans University), Mohamad Jammoul (UT Austin), Timo Heister (Clemson University), Sanjay Srinivasan (Penn State) for their previous contributions and discussions. The work of M.F. Wheeler is supported by the CSM, United States affiliates program and the NSF (National Science Foundation), United States grant High-fidelty modeling of poromechanics with strong discontinuities with the number 1911320. T. Wick is supported by the German Research Foundation, Priority Program 1748 (DFG SPP 1748) named Reliable Simulation Techniques in Solid Mechanics. Development of Non-standard Discretization Methods, Mechanical and Mathematical Analysis in the sub-project (WI 4367/2-1) under the number 392587580. Moreover, T. Wick thanks the Center for Subsurface Modeling for support during the stay in November 2019. The author S. Lee would like to thank the support from the 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, and the National Science Foundation, United States under Grant No. (NSF DMS-1913016).

PY - 2020/8/1

Y1 - 2020/8/1

N2 - 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.

AB - 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.

KW - Computer implementation

KW - Handbook

KW - IPACS

KW - Numerical simulations

KW - Phase-field fracture

KW - Porous media

UR - http://www.scopus.com/inward/record.url?scp=85085272699&partnerID=8YFLogxK

U2 - 10.1016/j.cma.2020.113124

DO - 10.1016/j.cma.2020.113124

M3 - Article

AN - SCOPUS:85085272699

VL - 367

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

SN - 0045-7825

M1 - 113124

ER -