TY - JOUR

T1 - Iterative coupling of flow, geomechanics and adaptive phase-field fracture including level-set crack width approaches

AU - Lee, Sanghyun

AU - Wheeler, Mary F.

AU - Wick, Thomas

N1 - Funding Information: The authors want to thank Brice Lecampion, Emmanuel Detournay, Alf Birger Rustad, Håkon Høgstøl, and Ali Dogru for providing information and discussions on fluid-filled fractures and the resulting pressure behavior. The research by S. Lee and M. F. Wheeler was partially supported by a DOE grant DE-FG02-04ER25617 , a Statoil grant STNO-4502931834 , and an Aramco grant UTA 11-000320 . T. Wick would like to thank the JT Oden Program of the Institute for Computational Engineering and Science (ICES) and the Center for Subsurface Modeling (CSM) , UT Austin for funding and hospitality during his visit in April 2016. Publisher Copyright: © 2016 Elsevier B.V. Copyright: Copyright 2018 Elsevier B.V., All rights reserved.

PY - 2017/4/1

Y1 - 2017/4/1

N2 - In this work, we present numerical studies of fixed-stress iterative coupling for solving flow and geomechanics with propagating fractures in a porous medium. Specifically, fracture propagations are described by employing a phase-field approach. The extension to fixed-stress splitting to propagating phase-field fractures and systematic investigation of its properties are important enhancements to existing studies. Moreover, we provide an accurate computation of the fracture opening using level-set approaches and a subsequent finite element interpolation of the width. The latter enters as fracture permeability into the pressure diffraction problem which is crucial for fluid filled fractures. Our developments are substantiated with several numerical tests that include comparisons of computational cost for iterative coupling and nonlinear and linear iterations as well as convergence studies in space and time.

AB - In this work, we present numerical studies of fixed-stress iterative coupling for solving flow and geomechanics with propagating fractures in a porous medium. Specifically, fracture propagations are described by employing a phase-field approach. The extension to fixed-stress splitting to propagating phase-field fractures and systematic investigation of its properties are important enhancements to existing studies. Moreover, we provide an accurate computation of the fracture opening using level-set approaches and a subsequent finite element interpolation of the width. The latter enters as fracture permeability into the pressure diffraction problem which is crucial for fluid filled fractures. Our developments are substantiated with several numerical tests that include comparisons of computational cost for iterative coupling and nonlinear and linear iterations as well as convergence studies in space and time.

KW - Crack width

KW - Fixed stress splitting

KW - Fluid-filled phase field fracture

KW - Level-set method

KW - Porous media

KW - Pressure diffraction equation

UR - http://www.scopus.com/inward/record.url?scp=84999287048&partnerID=8YFLogxK

U2 - 10.1016/j.cam.2016.10.022

DO - 10.1016/j.cam.2016.10.022

M3 - Article

AN - SCOPUS:84999287048

VL - 314

SP - 40

EP - 60

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

SN - 0377-0427

ER -