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Title: 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:
 [1];  [2];  [2];  [1]
  1. Stanford Univ., CA (United States)
  2. 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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