TY - JOUR

T1 - A phase-field multirate scheme with stabilized iterative coupling for pressure driven fracture propagation in porous media

AU - Jammoul, Mohamad

AU - Wheeler, Mary F.

AU - Wick, Thomas

N1 - Funding Information: We thank both anonymous referees for their numerous remarks and questions, which helped to improve significantly the first version of the manuscript. The work of M. Jammoul is supported by the Center for Subsurface Modeling (CSM), USA affiliates program. M.F. Wheeler is supported by the CSM, USA affiliates program and the National Science Foundation (NSF), USA grant High-fidelity 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 project number 392587580 . Moreover, T. Wick thanks the Center for Subsurface Modeling at the Oden Institute, UT Austin, for support during the stay in November 2019.

PY - 2021/6/1

Y1 - 2021/6/1

N2 - Phase-field methods have the potential to simulate large scale evolution of networks of fractures in porous media without the need to explicitly track interfaces. Practical field simulations require however that robust and efficient decoupling techniques can be applied for solving these complex systems. In this work, we focus on the mechanics-step that involves the coupling of elasticity and the phase-field variable. We develop a multirate scheme in which a coarser time grid is employed for the mechanics equation (i.e., the displacements) and a finer time grid is taken for the phase-field problem. The performance of this algorithm is demonstrated for two test cases.

AB - Phase-field methods have the potential to simulate large scale evolution of networks of fractures in porous media without the need to explicitly track interfaces. Practical field simulations require however that robust and efficient decoupling techniques can be applied for solving these complex systems. In this work, we focus on the mechanics-step that involves the coupling of elasticity and the phase-field variable. We develop a multirate scheme in which a coarser time grid is employed for the mechanics equation (i.e., the displacements) and a finer time grid is taken for the phase-field problem. The performance of this algorithm is demonstrated for two test cases.

KW - Benchmarks

KW - Iterative coupling

KW - Multirate

KW - Phase-field fracture

KW - Porous media

UR - http://www.scopus.com/inward/record.url?scp=85097412415&partnerID=8YFLogxK

U2 - 10.1016/j.camwa.2020.11.009

DO - 10.1016/j.camwa.2020.11.009

M3 - Article

AN - SCOPUS:85097412415

VL - 91

SP - 176

EP - 191

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

SN - 0898-1221

ER -