Journal
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volume 314, Issue -, Pages 40-60Publisher
ELSEVIER
DOI: 10.1016/j.cam.2016.10.022
Keywords
Fluid-filled phase field fracture; Fixed stress splitting; Pressure diffraction equation; Level-set method; Crack width; Porous media
Categories
Funding
- DOE [DE-FG02-04ER25617]
- Statoil [STNO-4502931834]
- Aramco [UTA 11-000320]
- JT Oden Program of the Institute for Computational Engineering and Science (ICES)
- Center for Subsurface Modeling (CSM), UT Austin
- Direct For Computer & Info Scie & Enginr
- Div Of Information & Intelligent Systems [1546145] Funding Source: National Science Foundation
- Div Of Information & Intelligent Systems
- Direct For Computer & Info Scie & Enginr [1546251, 1546553] Funding Source: National Science Foundation
- U.S. Department of Energy (DOE) [DE-FG02-04ER25617] Funding Source: U.S. Department of Energy (DOE)
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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. (C) 2016 Elsevier B.V. All rights reserved.
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