Preconditioners for multiphase poromechanics with strong capillarity
Abstract
Abstract This paper aims to enhance the performance of Newton–Krylov solvers for coupled poromechanical problems with two‐phase flow. In particular, we investigate the impact of capillary pressure on preconditioning strategies. Capillarity complicates the coupling between the solid deformation and fluid pressure degrees of freedom, as well as increases the nonlinearity of the system. Depending on the capillary pressure relation used in the constitutive formulation, the flow equations may exhibit a spectrum of advection‐dominated to diffusion‐dominated behavior. We propose preconditioning approaches that account for this behavior and lead to robust numerical performance within a broad range of regimes.
- Authors:
-
- Stanford Univ., CA (United States)
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Publication Date:
- Research Org.:
- Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES). Chemical Sciences, Geosciences & Biosciences Division; USDOE
- OSTI Identifier:
- 1836211
- Alternate Identifier(s):
- OSTI ID: 1786552
- Report Number(s):
- LLNL-JRNL-813333
Journal ID: ISSN 0363-9061; 1021269
- Grant/Contract Number:
- AC52-07NA27344; FG02-03ER15454; DE‐FG02‐03ER15454; DE‐AC52‐07‐NA27344
- Resource Type:
- Accepted Manuscript
- Journal Name:
- International Journal for Numerical and Analytical Methods in Geomechanics
- Additional Journal Information:
- Journal Volume: 45; Journal Issue: 9; Journal ID: ISSN 0363-9061
- Publisher:
- Wiley
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 42 ENGINEERING; algebraic multigrid; capillarity; fixed-stress split; iterative methods; multiphase poromechanics; preconditioning
Citation Formats
Camargo, Julia T., White, Joshua A., Castelletto, Nicola, and Borja, Ronaldo I. Preconditioners for multiphase poromechanics with strong capillarity. United States: N. p., 2021.
Web. doi:10.1002/nag.3192.
Camargo, Julia T., White, Joshua A., Castelletto, Nicola, & Borja, Ronaldo I. Preconditioners for multiphase poromechanics with strong capillarity. United States. https://doi.org/10.1002/nag.3192
Camargo, Julia T., White, Joshua A., Castelletto, Nicola, and Borja, Ronaldo I. Fri .
"Preconditioners for multiphase poromechanics with strong capillarity". United States. https://doi.org/10.1002/nag.3192. https://www.osti.gov/servlets/purl/1836211.
@article{osti_1836211,
title = {Preconditioners for multiphase poromechanics with strong capillarity},
author = {Camargo, Julia T. and White, Joshua A. and Castelletto, Nicola and Borja, Ronaldo I.},
abstractNote = {Abstract This paper aims to enhance the performance of Newton–Krylov solvers for coupled poromechanical problems with two‐phase flow. In particular, we investigate the impact of capillary pressure on preconditioning strategies. Capillarity complicates the coupling between the solid deformation and fluid pressure degrees of freedom, as well as increases the nonlinearity of the system. Depending on the capillary pressure relation used in the constitutive formulation, the flow equations may exhibit a spectrum of advection‐dominated to diffusion‐dominated behavior. We propose preconditioning approaches that account for this behavior and lead to robust numerical performance within a broad range of regimes.},
doi = {10.1002/nag.3192},
journal = {International Journal for Numerical and Analytical Methods in Geomechanics},
number = 9,
volume = 45,
place = {United States},
year = {Fri Feb 12 00:00:00 EST 2021},
month = {Fri Feb 12 00:00:00 EST 2021}
}
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