An Incompressible, Depth-Averaged Lattice Boltzmann Method for Liquid Flow in Microfluidic Devices with Variable Aperture
Abstract
Two-dimensional (2D) pore-scale models have successfully simulated microfluidic experiments of aqueous-phase flow with mixing-controlled reactions in devices with small aperture. A standard 2D model is not generally appropriate when the presence of mineral precipitate or biomass creates complex and irregular three-dimensional (3D) pore geometries. We modify the 2D lattice Boltzmann method (LBM) to incorporate viscous drag from the top and bottom microfluidic device (micromodel) surfaces, typically excluded in a 2D model. Viscous drag from these surfaces can be approximated by uniformly scaling a steady-state 2D velocity field at low Reynolds number. We demonstrate increased accuracy by approximating the viscous drag with an analytically-derived body force which assumes a local parabolic velocity profile across the micromodel depth. Accuracy of the generated 2D velocity field and simulation permeability have not been evaluated in geometries with variable aperture. We obtain permeabilities within approximately 10% error and accurate streamlines from the proposed 2D method relative to results obtained from 3D simulations. Additionally, the proposed method requires a CPU run time approximately 40 times less than a standard 3D method, representing a significant computational benefit for permeability calculations.
- Authors:
-
- Univ. of Illinois at Urbana-Champaign, Urbana, IL (United States)
- Univ. of Texas at Austin, Austin, TX (United States)
- Publication Date:
- Research Org.:
- Energy Frontier Research Centers (EFRC) (United States). Center for Geologic Storage of CO2 (GSCO2)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1371118
- Grant/Contract Number:
- SC0012504
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Computation
- Additional Journal Information:
- Journal Volume: 3; Journal Issue: 4; Related Information: GSCO2 partners with University of Illinois Urbana-Champaign (lead); National Energy Technology Laboratory; Schlumberger; SINTEF; Stiftelsen Norsar; Texas Tech University; University of Notre Dame; University of Southern California; University of Texas at Austin; Wright State University; Journal ID: ISSN 2079-3197
- Publisher:
- MDPI
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 58 GEOSCIENCES; defects; mechanical behavior; carbon sequestration; mesostructured materials; lattice Boltzmann; porous media; microfluidics; permeability
Citation Formats
Laleian, Artin, Valocchi, Albert J., and Werth, Charles J. An Incompressible, Depth-Averaged Lattice Boltzmann Method for Liquid Flow in Microfluidic Devices with Variable Aperture. United States: N. p., 2015.
Web. doi:10.3390/computation3040600.
Laleian, Artin, Valocchi, Albert J., & Werth, Charles J. An Incompressible, Depth-Averaged Lattice Boltzmann Method for Liquid Flow in Microfluidic Devices with Variable Aperture. United States. https://doi.org/10.3390/computation3040600
Laleian, Artin, Valocchi, Albert J., and Werth, Charles J. Tue .
"An Incompressible, Depth-Averaged Lattice Boltzmann Method for Liquid Flow in Microfluidic Devices with Variable Aperture". United States. https://doi.org/10.3390/computation3040600. https://www.osti.gov/servlets/purl/1371118.
@article{osti_1371118,
title = {An Incompressible, Depth-Averaged Lattice Boltzmann Method for Liquid Flow in Microfluidic Devices with Variable Aperture},
author = {Laleian, Artin and Valocchi, Albert J. and Werth, Charles J.},
abstractNote = {Two-dimensional (2D) pore-scale models have successfully simulated microfluidic experiments of aqueous-phase flow with mixing-controlled reactions in devices with small aperture. A standard 2D model is not generally appropriate when the presence of mineral precipitate or biomass creates complex and irregular three-dimensional (3D) pore geometries. We modify the 2D lattice Boltzmann method (LBM) to incorporate viscous drag from the top and bottom microfluidic device (micromodel) surfaces, typically excluded in a 2D model. Viscous drag from these surfaces can be approximated by uniformly scaling a steady-state 2D velocity field at low Reynolds number. We demonstrate increased accuracy by approximating the viscous drag with an analytically-derived body force which assumes a local parabolic velocity profile across the micromodel depth. Accuracy of the generated 2D velocity field and simulation permeability have not been evaluated in geometries with variable aperture. We obtain permeabilities within approximately 10% error and accurate streamlines from the proposed 2D method relative to results obtained from 3D simulations. Additionally, the proposed method requires a CPU run time approximately 40 times less than a standard 3D method, representing a significant computational benefit for permeability calculations.},
doi = {10.3390/computation3040600},
journal = {Computation},
number = 4,
volume = 3,
place = {United States},
year = {Tue Nov 24 00:00:00 EST 2015},
month = {Tue Nov 24 00:00:00 EST 2015}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
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:
Influence of asperities on fluid and thermal flow in a fracture: A coupled lattice Boltzmann study: ASPERITIES INFLUENCE HYDROTHERMAL FLOWS
journal, July 2013
- Neuville, A.; Flekkøy, E. G.; Toussaint, R.
- Journal of Geophysical Research: Solid Earth, Vol. 118, Issue 7
Fluid flow in synthetic rough-walled fractures: Navier-Stokes, Stokes, and local cubic law simulations: FLUID FLOW IN ROUGH-WALLED FRACTURES
journal, April 2003
- Brush, David J.; Thomson, Neil R.
- Water Resources Research, Vol. 39, Issue 4
Multiple–relaxation–time lattice Boltzmann models in three dimensions
journal, March 2002
- d'Humières, Dominique
- Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, Vol. 360, Issue 1792
Simulation of Cavity Flow by the Lattice Boltzmann Method
journal, May 1995
- Hou, Shuling; Zou, Qisu; Chen, Shiyi
- Journal of Computational Physics, Vol. 118, Issue 2
Influence of Mg2+ on CaCO3 precipitation during subsurface reactive transport in a homogeneous silicon-etched pore network
journal, June 2014
- Boyd, Victoria; Yoon, Hongkyu; Zhang, Changyong
- Geochimica et Cosmochimica Acta, Vol. 135
Lattice-Boltzmann studies of fluid flow in porous media with realistic rock geometries
journal, April 2010
- Boek, Edo S.; Venturoli, Maddalena
- Computers & Mathematics with Applications, Vol. 59, Issue 7
Multiple-relaxation-time lattice-Boltzmann model for multiphase flow
journal, March 2005
- McCracken, Michael E.; Abraham, John
- Physical Review E, Vol. 71, Issue 3
An improved pore-scale biofilm model and comparison with a microfluidic flow cell experiment: A PORE-SCALE BIOFILM MODEL AND COMPARISON WITH AN EXPERIMENT
journal, December 2013
- Tang, Youneng; Valocchi, Albert J.; Werth, Charles J.
- Water Resources Research, Vol. 49, Issue 12
Long-scale evolution of thin liquid films
journal, July 1997
- Oron, Alexander; Davis, Stephen H.; Bankoff, S. George
- Reviews of Modern Physics, Vol. 69, Issue 3
Lattice Boltzmann simulations in microfluidics: probing the no-slip boundary condition in hydrophobic, rough, and surface nanobubble laden microchannels
journal, October 2009
- Harting, Jens; Kunert, Christian; Hyväluoma, Jari
- Microfluidics and Nanofluidics, Vol. 8, Issue 1
Pore-scale simulation of mixing-induced calcium carbonate precipitation and dissolution in a microfluidic pore network: PORE-SCALE SIMULATION IN A MICROMODEL
journal, February 2012
- Yoon, Hongkyu; Valocchi, Albert J.; Werth, Charles J.
- Water Resources Research, Vol. 48, Issue 2
Discrete lattice effects on the forcing term in the lattice Boltzmann method
journal, April 2002
- Guo, Zhaoli; Zheng, Chuguang; Shi, Baochang
- Physical Review E, Vol. 65, Issue 4
A improved incompressible lattice Boltzmann model for time-independent flows
journal, October 1995
- Zou, Qisu; Hou, Shuling; Chen, Shiyi
- Journal of Statistical Physics, Vol. 81, Issue 1-2
A study of pore geometry effects on anisotropy in hydraulic permeability using the lattice-Boltzmann method
journal, September 2006
- Stewart, M. L.; Ward, A. L.; Rector, D. R.
- Advances in Water Resources, Vol. 29, Issue 9
An evaluation of lattice Boltzmann schemes for porous medium flow simulation
journal, September 2006
- Pan, Chongxun; Luo, Li-Shi; Miller, Cass T.
- Computers & Fluids, Vol. 35, Issue 8-9
Two-dimensional lattice-Boltzmann simulations of single phase flow in a pseudo two-dimensional micromodel
journal, March 2006
- Venturoli, Maddalena; Boek, Edo S.
- Physica A: Statistical Mechanics and its Applications, Vol. 362, Issue 1
Lattice Boltzmann Equation on a Two-Dimensional Rectangular Grid
journal, September 2001
- Bouzidi, M'hamed; d'Humières, Dominique; Lallemand, Pierre
- Journal of Computational Physics, Vol. 172, Issue 2
A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
journal, May 1954
- Bhatnagar, P. L.; Gross, E. P.; Krook, M.
- Physical Review, Vol. 94, Issue 3
Evaluation of the Effects of Porous Media Structure on Mixing-Controlled Reactions Using Pore-Scale Modeling and Micromodel Experiments
journal, May 2008
- Willingham, Thomas W.; Werth, Charles J.; Valocchi, Albert J.
- Environmental Science & Technology, Vol. 42, Issue 9
Pore-Scale Study of Transverse Mixing Induced CaCO 3 Precipitation and Permeability Reduction in a Model Subsurface Sedimentary System
journal, October 2010
- Zhang, Changyong; Dehoff, Karl; Hess, Nancy
- Environmental Science & Technology, Vol. 44, Issue 20
Pore-scale simulation of biomass growth along the transverse mixing zone of a model two-dimensional porous medium: PORE-SCALE SIMULATION OF BIOMASS GROWTH
journal, July 2005
- Knutson, C. E.; Werth, C. J.; Valocchi, A. J.
- Water Resources Research, Vol. 41, Issue 7
Assessment of the two relaxation time Lattice-Boltzmann scheme to simulate Stokes flow in porous media: ASSESSMENT OF TRT-LB SCHEME TO SIMULATE STOKES FLOW
journal, April 2012
- Talon, L.; Bauer, D.; Gland, N.
- Water Resources Research, Vol. 48, Issue 4
Using dispersivity values to quantify the effects of pore-scale flow focusing on enhanced reaction along a transverse mixing zone
journal, April 2010
- Willingham, Thomas; Zhang, Changyong; Werth, Charles J.
- Advances in Water Resources, Vol. 33, Issue 4
Precipitation, dissolution, and ion exchange processes coupled with a lattice Boltzmann advection diffusion solver
journal, March 2013
- Hiorth, A.; Jettestuen, E.; Cathles, L. M.
- Geochimica et Cosmochimica Acta, Vol. 104
Lattice Boltzmann simulations in microfluidics: probing the no-slip boundary condition in hydrophobic, rough, and surface nanobubble laden microchannels
journal, October 2009
- Harting, Jens; Kunert, Christian; Hyväluoma, Jari
- Microfluidics and Nanofluidics, Vol. 8, Issue 1
Evaluation of the Effects of Porous Media Structure on Mixing-Controlled Reactions Using Pore-Scale Modeling and Micromodel Experiments
journal, May 2008
- Willingham, Thomas W.; Werth, Charles J.; Valocchi, Albert J.
- Environmental Science & Technology, Vol. 42, Issue 9
Hydrodynamic dispersion at stagnation points: Simulations and experiments
journal, November 1995
- Flekkøy, E. G.; Oxaal, U.; Feder, J.
- Physical Review E, Vol. 52, Issue 5
Gibbs' principle for the lattice-kinetic theory of fluid dynamics
journal, September 2014
- Karlin, I. V.; Bösch, F.; Chikatamarla, S. S.
- Physical Review E, Vol. 90, Issue 3
Influence of asperities on fluid and thermal flow in a fracture: a coupled Lattice Boltzmann study
text, January 2013
- Neuville, Amélie; Flekkøy, Eirik Grude; Toussaint, Renaud
- arXiv
Works referencing / citing this record:
The Effective Transmissivity of a Plane-Walled Fracture With Circular Cylindrical Obstacles
journal, January 2018
- Jasinski, Lukasz; Dabrowski, Marcin
- Journal of Geophysical Research: Solid Earth, Vol. 123, Issue 1
A lattice-Boltzmann study of permeability-porosity relationships and mineral precipitation patterns in fractured porous media
journal, January 2020
- Ahkami, Mehrdad; Parmigiani, Andrea; Di Palma, Paolo Roberto
- Computational Geosciences, Vol. 24, Issue 5
Computational Microfluidics for Geosciences
journal, March 2021
- Soulaine, Cyprien; Maes, Julien; Roman, Sophie
- Frontiers in Water, Vol. 3
Model reduction for coupled free flow over porous media: a hybrid dimensional pore network model approach
preprint, January 2019
- Weishaupt, Kilian; Terzis, Alexandros; Zarikos, Ioannis
- arXiv