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:
-
- Univ. of North Carolina, Chapel Hill, NC (United States). Dept. of Environmental Sciences and Engineering
- 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
- 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}
}
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 4 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Lattice-Boltzmann equations for describing segregation in non-ideal mixtures
journal, October 2012
- Philippi, Paulo C.; Mattila, Keijo K.; Siebert, Diogo N.
- Journal of Fluid Mechanics, Vol. 713
Description of non-Darcy flows in porous medium systems
journal, March 2013
- Dye, Amanda L.; McClure, James E.; Miller, Cass T.
- Physical Review E, Vol. 87, Issue 3
Influence of Viscous and Capillary Forces on Immiscible Fluid Displacement: Pore-Scale Experimental Study in a Water-Wet Micromodel Demonstrating Viscous and Capillary Fingering
journal, August 2011
- Zhang, Changyong; Oostrom, Mart; Wietsma, Thomas W.
- Energy & Fuels, Vol. 25, Issue 8
An adaptive scheme using hierarchical grids for lattice Boltzmann multi-phase flow simulations
journal, September 2006
- Tölke, Jonas; Freudiger, Sören; Krafczyk, Manfred
- Computers & Fluids, Vol. 35, Issue 8-9
Hydrogeological Research: Just Getting Started
journal, May 2002
- Miller, Cass T.; Gray, William G.
- Ground Water, Vol. 40, Issue 3
Prediction of capillary hysteresis in a porous material using lattice-Boltzmann methods and comparison to experimental data and a morphological pore network model
journal, September 2008
- Ahrenholz, B.; Tölke, J.; Lehmann, P.
- Advances in Water Resources, Vol. 31, Issue 9
Thermodynamically constrained averaging theory approach for modeling flow and transport phenomena in porous medium systems: 1. Motivation and overview
journal, February 2005
- Gray, William G.; Miller, Cass T.
- Advances in Water Resources, Vol. 28, Issue 2
The Fast Construction of Extension Velocities in Level Set Methods
journal, January 1999
- Adalsteinsson, D.; Sethian, J. A.
- Journal of Computational Physics, Vol. 148, Issue 1
Thermodynamically constrained averaging theory approach for modeling flow and transport phenomena in porous medium systems: 6. Two-fluid-phase flow
journal, June 2009
- Jackson, Amber S.; Miller, Cass T.; Gray, William G.
- Advances in Water Resources, Vol. 32, Issue 6
A level set method for determining critical curvatures for drainage and imbibition
journal, December 2006
- Prodanović, Maša; Bryant, Steven L.
- Journal of Colloid and Interface Science, Vol. 304, Issue 2
A multi-scale computational model for multiphase flow in porous media
journal, January 1993
- Celia, Michael A.; Rajaram, Harihar; Ferrand, Lin A.
- Advances in Water Resources, Vol. 16, Issue 1
Pore-scale study of diffusion–reaction processes involving dissolution and precipitation using the lattice Boltzmann method
journal, August 2014
- Chen, Li; Kang, Qinjun; Carey, Bill
- International Journal of Heat and Mass Transfer, Vol. 75
On the dynamics and kinematics of two‐fluid‐phase flow in porous media
journal, July 2015
- Gray, W. G.; Dye, A. L.; McClure, J. E.
- Water Resources Research, Vol. 51, Issue 7
Lattice-Boltzmann simulations of the capillary pressure–saturation–interfacial area relationship for porous media
journal, November 2009
- Porter, Mark L.; Schaap, Marcel G.; Wildenschild, Dorthe
- Advances in Water Resources, Vol. 32, Issue 11
Distribution of multiphase fluids in porous media: Comparison between lattice Boltzmann modeling and micro-x-ray tomography
journal, February 2008
- Sukop, Michael C.; Huang, Haibo; Lin, Chen Luh
- Physical Review E, Vol. 77, Issue 2
Static contact angle in lattice Boltzmann models of immiscible fluids
journal, October 2005
- Latva-Kokko, M.; Rothman, Daniel H.
- Physical Review E, Vol. 72, Issue 4
Relationships among air-water interfacial area, capillary pressure, and water saturation for a sandy porous medium: TECHNICAL NOTE
journal, March 2006
- Brusseau, Mark L.; Peng, Sheng; Schnaar, Gregory
- Water Resources Research, Vol. 42, Issue 3
Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
journal, November 1988
- Osher, Stanley; Sethian, James A.
- Journal of Computational Physics, Vol. 79, Issue 1
Linking pressure and saturation through interfacial areas in porous media
journal, January 2004
- Cheng, J. -T.
- Geophysical Research Letters, Vol. 31, Issue 8
On the fabrication of PDMS micromodels by rapid prototyping, and their use in two-phase flow studies: MICROMODEL, TWO-PHASE FLOW EXPERIMENTS
journal, April 2013
- Karadimitriou, N. K.; Musterd, M.; Kleingeld, P. J.
- Water Resources Research, Vol. 49, Issue 4
A conservative level set method for two phase flow
journal, November 2005
- Olsson, Elin; Kreiss, Gunilla
- Journal of Computational Physics, Vol. 210, Issue 1
Pore-scale investigation of viscous coupling effects for two-phase flow in porous media
journal, August 2005
- Li, Huina; Pan, Chongxun; Miller, Cass T.
- Physical Review E, Vol. 72, Issue 2
Theory of the lattice Boltzmann method: Dispersion, dissipation, isotropy, Galilean invariance, and stability
journal, June 2000
- Lallemand, Pierre; Luo, Li-Shi
- Physical Review E, Vol. 61, Issue 6
Measurement and prediction of the relationship between capillary pressure, saturation, and interfacial area in a NAPL-water-glass bead system: CAPILLARY PRESSURE, SATURATION, AND IFA
journal, August 2010
- Porter, Mark L.; Wildenschild, Dorthe; Grant, Gavin
- Water Resources Research, Vol. 46, Issue 8
Linking pore-scale interfacial curvature to column-scale capillary pressure
journal, September 2012
- Armstrong, Ryan T.; Porter, Mark L.; Wildenschild, Dorthe
- Advances in Water Resources, Vol. 46
Isotropic color gradient for simulating very high-density ratios with a two-phase flow lattice Boltzmann model
journal, September 2011
- Leclaire, Sébastien; Reggio, Marcelo; Trépanier, Jean-Yves
- Computers & Fluids, Vol. 48, Issue 1
Lattice Boltzmann equation model for multi-component multi-phase flow with high density ratios
journal, February 2013
- Bao, Jie; Schaefer, Laura
- Applied Mathematical Modelling, Vol. 37, Issue 4
A novel heterogeneous algorithm to simulate multiphase flow in porous media on multicore CPU–GPU systems
journal, July 2014
- McClure, J. E.; Prins, J. F.; Miller, C. T.
- Computer Physics Communications, Vol. 185, Issue 7
X-ray imaging and analysis techniques for quantifying pore-scale structure and processes in subsurface porous medium systems
journal, January 2013
- Wildenschild, Dorthe; Sheppard, Adrian P.
- Advances in Water Resources, Vol. 51
A Front-Tracking Method for the Computations of Multiphase Flow
journal, May 2001
- Tryggvason, G.; Bunner, B.; Esmaeeli, A.
- Journal of Computational Physics, Vol. 169, Issue 2
A priori derivation of the lattice Boltzmann equation
journal, June 1997
- He, Xiaoyi; Luo, Li-Shi
- Physical Review E, Vol. 55, Issue 6
Pore-scale characteristics of multiphase flow in porous media: A comparison of air–water and oil–water experiments
journal, February 2006
- Culligan, K. A.; Wildenschild, D.; Christensen, B. S. B.
- Advances in Water Resources, Vol. 29, Issue 2
Comparison of pressure-saturation characteristics derived from computed tomography and lattice Boltzmann simulations: TOMOGRAPHY AND LB PRESSURE-SATURATION
journal, December 2007
- Schaap, Marcel G.; Porter, Mark L.; Christensen, Britt S. B.
- Water Resources Research, Vol. 43, Issue 12
A Closed-form Equation for Predicting the Hydraulic Conductivity of Unsaturated Soils1
journal, January 1980
- van Genuchten, M. Th.
- Soil Science Society of America Journal, Vol. 44, Issue 5
Dewetting of Silica Surfaces upon Reactions with Supercritical CO 2 and Brine: Pore-Scale Studies in Micromodels
journal, March 2012
- Kim, Yongman; Wan, Jiamin; Kneafsey, Timothy J.
- Environmental Science & Technology, Vol. 46, Issue 7
Proposed approximation for contact angles in Shan-and-Chen-type multicomponent multiphase lattice Boltzmann models
journal, December 2007
- Huang, Haibo; Thorne, Daniel T.; Schaap, Marcel G.
- Physical Review E, Vol. 76, Issue 6
Driven flow with exclusion and transport in graphenelike structures
journal, October 2013
- Stinchcombe, R. B.; de Queiroz, S. L. A.; Cunha, M. A. G.
- Physical Review E, Vol. 88, Issue 4
A lattice Boltzmann model for multiphase flows with large density ratio
journal, October 2006
- Zheng, H. W.; Shu, C.; Chew, Y. T.
- Journal of Computational Physics, Vol. 218, Issue 1
Dissolution of residual tetrachloroethylene in fractional wettability porous media: correlation development and application
journal, September 2000
- Bradford, Scott A.; Phelan, Thomas J.; Abriola, Linda M.
- Journal of Contaminant Hydrology, Vol. 45, Issue 1-2
Visualisation of Residual Oil Recovery by Near-miscible Gas and SWAG Injection Using High-pressure Micromodels
journal, January 2008
- Sohrabi, M.; Danesh, A.; Jamiolahmady, M.
- Transport in Porous Media, Vol. 74, Issue 2
Lattice-Boltzmann Method for Complex Flows
journal, January 2010
- Aidun, Cyrus K.; Clausen, Jonathan R.
- Annual Review of Fluid Mechanics, Vol. 42, Issue 1