Details
| Original language | English |
|---|---|
| Pages (from-to) | 1542-1580 |
| Number of pages | 39 |
| Journal | Multiscale Modeling and Simulation |
| Volume | 16 |
| Issue number | 4 |
| Early online date | 9 Oct 2018 |
| Publication status | Published - 2018 |
Abstract
We propose an immiscible two phase flow fracture model, based on a phase-field for treating crack propagation in porous media. This multifluid model is an extension of classical flow models and we take into account nonzero capillary pressure. Using lubrication theory, we provide details of the determination of effective parameters: Absolute and relative permeabilities. The phasefield formulation is a generalization of previous works by the authors and extends the single phase model to the two phase case. Here the resulting flow system has four unknowns: Resident and injected pressures and saturations, respectively. The solid contribution consists of displacements and a phase-field variable. Both systems are coupled employing a fixed-stress splitting. Therein, the flow problem is treated with an iterative scheme and the solid problem fully implicitly. Modeling and algorithms are substantiated with several numerical tests.
Keywords
- Biot system, finite elements, fixed-stress iterative coupling, fracture propagation, multiphase flow, phase-field fracture
ASJC Scopus subject areas
- Chemistry(all)
- Mathematics(all)
- Modelling and Simulation
- Environmental Science(all)
- Ecological Modelling
- Physics and Astronomy(all)
- Computer Science(all)
- Computer Science Applications
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In: Multiscale Modeling and Simulation, Vol. 16, No. 4, 2018, p. 1542-1580.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Phase-field modeling of two phase fluid filled fractures in a poroelastic medium
AU - Lee, Sanghyun
AU - Mikeli, Andro
AU - Wheeler, Mary F.
AU - Wick, Thomas
N1 - Funding Information: Funding: The research of the first and third authors was partially supported by Center for Frontiers of Subsurface Energy Security, an Energy Frontier Research Center funded by the U.S. Department of Energy, Office of Science, and Office of Basic Energy Sciences, DOE Project DESC0001114, and a DOE grant DE FG02-04ER25617. The third author was also partially supported by Moncrief Grand Challenge Faculty Awards from The Institute for Computational Engineering and Sciences (ICES), the University of Texas at Austin. The second and fourth authors were supported by The J. Tinsley Oden Faculty Fellowship Research Program and Center for Subsurface Modeling at Institute for Computational Engineering and Science (ICES), the University of Texas at Austin.
PY - 2018
Y1 - 2018
N2 - We propose an immiscible two phase flow fracture model, based on a phase-field for treating crack propagation in porous media. This multifluid model is an extension of classical flow models and we take into account nonzero capillary pressure. Using lubrication theory, we provide details of the determination of effective parameters: Absolute and relative permeabilities. The phasefield formulation is a generalization of previous works by the authors and extends the single phase model to the two phase case. Here the resulting flow system has four unknowns: Resident and injected pressures and saturations, respectively. The solid contribution consists of displacements and a phase-field variable. Both systems are coupled employing a fixed-stress splitting. Therein, the flow problem is treated with an iterative scheme and the solid problem fully implicitly. Modeling and algorithms are substantiated with several numerical tests.
AB - We propose an immiscible two phase flow fracture model, based on a phase-field for treating crack propagation in porous media. This multifluid model is an extension of classical flow models and we take into account nonzero capillary pressure. Using lubrication theory, we provide details of the determination of effective parameters: Absolute and relative permeabilities. The phasefield formulation is a generalization of previous works by the authors and extends the single phase model to the two phase case. Here the resulting flow system has four unknowns: Resident and injected pressures and saturations, respectively. The solid contribution consists of displacements and a phase-field variable. Both systems are coupled employing a fixed-stress splitting. Therein, the flow problem is treated with an iterative scheme and the solid problem fully implicitly. Modeling and algorithms are substantiated with several numerical tests.
KW - Biot system
KW - finite elements
KW - fixed-stress iterative coupling
KW - fracture propagation
KW - multiphase flow
KW - phase-field fracture
UR - http://www.scopus.com/inward/record.url?scp=85058239112&partnerID=8YFLogxK
U2 - 10.1137/17M1145239
DO - 10.1137/17M1145239
M3 - Article
AN - SCOPUS:85058239112
VL - 16
SP - 1542
EP - 1580
JO - Multiscale Modeling and Simulation
JF - Multiscale Modeling and Simulation
SN - 1540-3459
IS - 4
ER -