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

Dye, Amanda L.; McClure, James E.; Adalsteinsson, David; Miller, Cass T.

doi:10.1002/2015WR018279

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

Journal Article · Tue Mar 08 23:00:00 EST 2016 · Water Resources Research

DOI:https://doi.org/10.1002/2015WR018279· OSTI ID:1469173

Dye, Amanda L. ^[1]; McClure, James E. ^[2]; Adalsteinsson, David ^[3]; Miller, Cass T. ^[4]

Univ. of North Carolina, Chapel Hill, NC (United States). Dept. of Environmental Sciences and Engineering; Department of Environmental Sciences and Engineering, University of North Carolina at Chapel Hill, Chapel Hill, North Carolina
Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States). Advanced Research Computing
Univ. of North Carolina, Chapel Hill, NC (United States). Dept. of Mathematics
Univ. of North Carolina, Chapel Hill, NC (United States). Dept. of Environmental Sciences and Engineering

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.

View Accepted Manuscript (DOE)

Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Univ. of North Carolina, Chapel Hill, NC (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22); Army Research Office (ARO) (United States); National Science Foundation (NSF) (United States)

Grant/Contract Number:: SC0002163

OSTI ID:: 1469173

Alternate ID(s):: OSTI ID: 1619334

Journal Information:: Water Resources Research, Journal Name: Water Resources Research Journal Issue: 4 Vol. 52; ISSN 0043-1397

Publisher:: American Geophysical Union (AGU)Copyright Statement

Country of Publication:: United States

Language:: English

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