Details
| Original language | English |
|---|---|
| Pages (from-to) | 40-60 |
| Number of pages | 21 |
| Journal | Journal of Computational and Applied Mathematics |
| Volume | 314 |
| Publication status | Published - 1 Apr 2017 |
| Externally published | Yes |
Abstract
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.
Keywords
- Crack width, Fixed stress splitting, Fluid-filled phase field fracture, Level-set method, Porous media, Pressure diffraction equation
ASJC Scopus subject areas
- Mathematics(all)
- Computational Mathematics
- Mathematics(all)
- Applied Mathematics
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In: Journal of Computational and Applied Mathematics, Vol. 314, 01.04.2017, p. 40-60.
Research output: Contribution to journal › Article › Research › peer review
}
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 -