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Title: An adaptive lattice Boltzmann scheme for modeling two-fluid-phase flow in porous medium systems

Abstract

In this paper, we formulate a multiple-relaxation-time (MRT) lattice-Boltzmann method (LBM) to simulate two-fluid-phase flow in porous medium systems. The MRT LBM is applied to simulate the displacement of a wetting fluid by a nonwetting fluid in a system corresponding to a microfluidic cell. Analysis of the simulation shows widely varying time scales for the dynamics of fluid pressures, fluid saturations, and interfacial curvatures that are typical characteristics of such systems. Displacement phenomena include Haines jumps, which are relatively short duration isolated events of rapid fluid displacement driven by capillary instability. An adaptive algorithm is advanced using a level-set method to locate interfaces and estimate their rate of advancement. Because the displacement dynamics are confined to the interfacial regions for a majority of the relaxation time, the computational effort is focused on these regions. The proposed algorithm is shown to reduce computational effort by an order of magnitude, while yielding essentially identical solutions to a conventional fully coupled approach. Finally, the challenges posed by Haines jumps are also resolved by the adaptive algorithm. Possible extensions to the advanced method are discussed.

Authors:
 [1];  [2];  [3];  [1]
  1. Univ. of North Carolina, Chapel Hill, NC (United States). Dept. of Environmental Sciences and Engineering
  2. Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States). Advanced Research Computing
  3. Univ. of North Carolina, Chapel Hill, NC (United States). Dept. of Mathematics
Publication Date:
Research Org.:
Oak Ridge National Laboratory, Oak Ridge Leadership Computing Facility (OLCF); Univ. of North Carolina, Chapel Hill, NC (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22); US Army Research Office (ARO); National Science Foundation (NSF)
OSTI Identifier:
1469173
Grant/Contract Number:  
SC0002163; W911NF-14-1-0287; 0941235
Resource Type:
Accepted Manuscript
Journal Name:
Water Resources Research
Additional Journal Information:
Journal Volume: 52; Journal Issue: 4; Journal ID: ISSN 0043-1397
Publisher:
American Geophysical Union (AGU)
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; two-dimensional; multiphase; level set method; Haines jumps

Citation Formats

Dye, Amanda L., McClure, James E., Adalsteinsson, David, and Miller, Cass T. An adaptive lattice Boltzmann scheme for modeling two-fluid-phase flow in porous medium systems. United States: N. p., 2016. Web. doi:10.1002/2015WR018279.
Dye, Amanda L., McClure, James E., Adalsteinsson, David, & Miller, Cass T. An adaptive lattice Boltzmann scheme for modeling two-fluid-phase flow in porous medium systems. United States. doi:10.1002/2015WR018279.
Dye, Amanda L., McClure, James E., Adalsteinsson, David, and Miller, Cass T. Wed . "An adaptive lattice Boltzmann scheme for modeling two-fluid-phase flow in porous medium systems". United States. doi:10.1002/2015WR018279. https://www.osti.gov/servlets/purl/1469173.
@article{osti_1469173,
title = {An adaptive lattice Boltzmann scheme for modeling two-fluid-phase flow in porous medium systems},
author = {Dye, Amanda L. and McClure, James E. and Adalsteinsson, David and Miller, Cass T.},
abstractNote = {In this paper, we formulate a multiple-relaxation-time (MRT) lattice-Boltzmann method (LBM) to simulate two-fluid-phase flow in porous medium systems. The MRT LBM is applied to simulate the displacement of a wetting fluid by a nonwetting fluid in a system corresponding to a microfluidic cell. Analysis of the simulation shows widely varying time scales for the dynamics of fluid pressures, fluid saturations, and interfacial curvatures that are typical characteristics of such systems. Displacement phenomena include Haines jumps, which are relatively short duration isolated events of rapid fluid displacement driven by capillary instability. An adaptive algorithm is advanced using a level-set method to locate interfaces and estimate their rate of advancement. Because the displacement dynamics are confined to the interfacial regions for a majority of the relaxation time, the computational effort is focused on these regions. The proposed algorithm is shown to reduce computational effort by an order of magnitude, while yielding essentially identical solutions to a conventional fully coupled approach. Finally, the challenges posed by Haines jumps are also resolved by the adaptive algorithm. Possible extensions to the advanced method are discussed.},
doi = {10.1002/2015WR018279},
journal = {Water Resources Research},
number = 4,
volume = 52,
place = {United States},
year = {2016},
month = {3}
}

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Cited by: 4 works
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