Impact of viscous fingering and permeability heterogeneity on fluid mixing in porous media
Abstract
Fluid mixing plays a fundamental role in many natural and engineered processes, including groundwater flows in porous media, enhanced oil recovery, and microfluidic lab-on-a-chip systems. Recent developments have explored the effect of viscosity contrast on mixing, suggesting that the unstable displacement of fluids with different viscosities, or viscous fingering, provides a powerful mechanism to increase fluid-fluid interfacial area and enhance mixing. However, existing studies have not incorporated the effect of medium heterogeneity on the mixing rate. Here, we characterize the evolution of mixing between two fluids of different viscosity in heterogeneous porous media. We focus on a practical scenario of divergent-convergent flow in a quarter five spot geometry prototypical of well-driven groundwater flows. We study by means of numerical simulations the impact of permeability heterogeneity and viscosity contrast on the breakthrough curves and mixing efficiency, and we rationalize the nontrivial mixing behavior that emerges from the competition between the creation of fluid-fluid interfacial area and channeling.
- Authors:
-
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Technical Univ. of Madrid (Spain)
- Publication Date:
- Research Org.:
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1557837
- Grant/Contract Number:
- SC0003907
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Water Resources Research
- Additional Journal Information:
- Journal Volume: 51; Journal Issue: 4; Journal ID: ISSN 0043-1397
- Publisher:
- American Geophysical Union (AGU)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 58 GEOSCIENCES
Citation Formats
Nicolaides, Christos, Jha, Birendra, Cueto‐Felgueroso, Luis, and Juanes, Ruben. Impact of viscous fingering and permeability heterogeneity on fluid mixing in porous media. United States: N. p., 2015.
Web. doi:10.1002/2014WR015811.
Nicolaides, Christos, Jha, Birendra, Cueto‐Felgueroso, Luis, & Juanes, Ruben. Impact of viscous fingering and permeability heterogeneity on fluid mixing in porous media. United States. https://doi.org/10.1002/2014WR015811
Nicolaides, Christos, Jha, Birendra, Cueto‐Felgueroso, Luis, and Juanes, Ruben. Mon .
"Impact of viscous fingering and permeability heterogeneity on fluid mixing in porous media". United States. https://doi.org/10.1002/2014WR015811. https://www.osti.gov/servlets/purl/1557837.
@article{osti_1557837,
title = {Impact of viscous fingering and permeability heterogeneity on fluid mixing in porous media},
author = {Nicolaides, Christos and Jha, Birendra and Cueto‐Felgueroso, Luis and Juanes, Ruben},
abstractNote = {Fluid mixing plays a fundamental role in many natural and engineered processes, including groundwater flows in porous media, enhanced oil recovery, and microfluidic lab-on-a-chip systems. Recent developments have explored the effect of viscosity contrast on mixing, suggesting that the unstable displacement of fluids with different viscosities, or viscous fingering, provides a powerful mechanism to increase fluid-fluid interfacial area and enhance mixing. However, existing studies have not incorporated the effect of medium heterogeneity on the mixing rate. Here, we characterize the evolution of mixing between two fluids of different viscosity in heterogeneous porous media. We focus on a practical scenario of divergent-convergent flow in a quarter five spot geometry prototypical of well-driven groundwater flows. We study by means of numerical simulations the impact of permeability heterogeneity and viscosity contrast on the breakthrough curves and mixing efficiency, and we rationalize the nontrivial mixing behavior that emerges from the competition between the creation of fluid-fluid interfacial area and channeling.},
doi = {10.1002/2014WR015811},
journal = {Water Resources Research},
number = 4,
volume = 51,
place = {United States},
year = {Mon Mar 16 00:00:00 EDT 2015},
month = {Mon Mar 16 00:00:00 EDT 2015}
}
Web of Science
Works referenced in this record:
Anisotropic dispersive Henry problem
journal, April 2007
- Abarca, Elena; Carrera, Jesús; Sánchez-Vila, Xavier
- Advances in Water Resources, Vol. 30, Issue 4
Miscible viscous fingering: Experiments versus continuum approach
journal, August 1992
- Bacri, J. ‐C.; Rakotomalala, N.; Salin, D.
- Physics of Fluids A: Fluid Dynamics, Vol. 4, Issue 8
Viscous flows in two dimensions
journal, October 1986
- Bensimon, David; Kadanoff, Leo P.; Liang, Shoudan
- Reviews of Modern Physics, Vol. 58, Issue 4
Modeling non-Fickian transport in geological formations as a continuous time random walk
journal, January 2006
- Berkowitz, Brian; Cortis, Andrea; Dentz, Marco
- Reviews of Geophysics, Vol. 44, Issue 2
Miscible porous media displacements in the quarter five-spot configuration. Part 1. The homogeneous case
journal, September 1998
- Chen, Ching-Yao; Meiburg, Eckart
- Journal of Fluid Mechanics, Vol. 371
Miscible porous media displacements in the quarter five-spot configuration. Part 2. Effect of heterogeneities
journal, September 1998
- Chen, Ching-Yao; Meiburg, Eckart
- Journal of Fluid Mechanics, Vol. 371
Radial viscous fingering in miscible Hele-Shaw flows: A numerical study
journal, July 2008
- Chen, Ching-Yao; Huang, C. -W.; Gadêlha, Hermes
- Physical Review E, Vol. 78, Issue 1
Mixing, entropy and reactive solute transport
journal, October 2012
- Chiogna, Gabriele; Hochstetler, David L.; Bellin, Alberto
- Geophysical Research Letters, Vol. 39, Issue 20
High-Resolution Simulation of Unstable Flows in Porous Media
journal, August 1989
- Christie, M. A.
- SPE Reservoir Engineering, Vol. 4, Issue 03
Detailed Simulation of Unstable Processes in Miscible Flooding
journal, November 1987
- Christie, M. A.; Bond, D. J.
- SPE Reservoir Engineering, Vol. 2, Issue 04
Concentration statistics for mixing-controlled reactive transport in random heterogeneous media
journal, May 2008
- Cirpka, Olaf A.; Schwede, Ronnie L.; Luo, Jian
- Journal of Contaminant Hydrology, Vol. 98, Issue 1-2
Numerical simulation of non-Fickian transport in geological formations with multiple-scale heterogeneities: NON-FICKIAN TRANSPORT IN GEOLOGICAL FORMATIONS
journal, April 2004
- Cortis, Andrea; Gallo, Claudio; Scher, Harvey
- Water Resources Research, Vol. 40, Issue 4
Mixing and Reaction Kinetics in Porous Media: An Experimental Pore Scale Quantification
journal, December 2013
- Anna, Pietro de; Jimenez-Martinez, Joaquin; Tabuteau, Hervé
- Environmental Science & Technology, Vol. 48, Issue 1
Fingering of Chemical Fronts in Porous Media
journal, July 2001
- De Wit, A.
- Physical Review Letters, Vol. 87, Issue 5
Viscous fingering in periodically heterogeneous porous media. I. Formulation and linear instability
journal, December 1997
- De Wit, A.; Homsy, G. M.
- The Journal of Chemical Physics, Vol. 107, Issue 22
Viscous fingering in periodically heterogeneous porous media. II. Numerical simulations
journal, December 1997
- De Wit, A.; Homsy, G. M.
- The Journal of Chemical Physics, Vol. 107, Issue 22
Viscous fingering in reaction-diffusion systems
journal, May 1999
- De Wit, A.; Homsy, G. M.
- The Journal of Chemical Physics, Vol. 110, Issue 17
Viscous fingering of miscible slices
journal, May 2005
- De Wit, A.; Bertho, Y.; Martin, M.
- Physics of Fluids, Vol. 17, Issue 5
Mixing, spreading and reaction in heterogeneous media: A brief review
journal, March 2011
- Dentz, Marco; Le Borgne, Tanguy; Englert, Andreas
- Journal of Contaminant Hydrology, Vol. 120-121
Anionic surfactant remediation of soil columns contaminated by nonaqueous phase liquids
journal, June 1999
- Dwarakanath, V.; Kostarelos, K.; Pope, Gary A.
- Journal of Contaminant Hydrology, Vol. 38, Issue 4
Viscous fingering with chemical reaction: effect of in-situ production of surfactants
journal, April 2003
- Fernandez, Juan; Homsy, G. M.
- Journal of Fluid Mechanics, Vol. 480
Density-driven unstable flows of miscible fluids in a Hele-Shaw cell
journal, January 2002
- Fernandez, J.; Kurowski, P.; Petitjeans, P.
- Journal of Fluid Mechanics, Vol. 451
Viscous and gravitational contributions to mixing during vertical brine transport in water-saturated porous media: VERTICAL BRINE TRANSPORT
journal, January 2007
- Flowers, Tracey C.; Hunt, James R.
- Water Resources Research, Vol. 43, Issue 1
Aromatic Compound Solubility in Solvent/Water Mixtures
journal, April 1986
- Fu, Jaw‐Kwei; Luthy, Richard G.
- Journal of Environmental Engineering, Vol. 112, Issue 2
Three-dimensional stochastic analysis of macrodispersion in aquifers
journal, February 1983
- Gelhar, Lynn W.; Axness, Carl L.
- Water Resources Research, Vol. 19, Issue 1
Fingering of Dense Nonaqueous Phase Liquids in Porous Media: 1. Experimental Investigation
journal, May 1995
- Held, Rudolf J.; Illangasekare, Tissa H.
- Water Resources Research, Vol. 31, Issue 5
Effect of dispersion on the onset of convection during CO 2 sequestration
journal, October 2009
- Hidalgo, Juan J.; Carrera, JesÚS
- Journal of Fluid Mechanics, Vol. 640
Viscous Fingering in Porous Media
journal, January 1987
- Homsy, G. M.
- Annual Review of Fluid Mechanics, Vol. 19, Issue 1
Fluid Mixing from Viscous Fingering
journal, May 2011
- Jha, Birendra; Cueto-Felgueroso, Luis; Juanes, Ruben
- Physical Review Letters, Vol. 106, Issue 19
Quantifying mixing in viscously unstable porous media flows
journal, December 2011
- Jha, Birendra; Cueto-Felgueroso, Luis; Juanes, Ruben
- Physical Review E, Vol. 84, Issue 6
Synergetic Fluid Mixing from Viscous Fingering and Alternating Injection
journal, October 2013
- Jha, Birendra; Cueto-Felgueroso, Luis; Juanes, Ruben
- Physical Review Letters, Vol. 111, Issue 14
Numerical modeling of multiphase first-contact miscible flows. Part 2. Front-tracking/streamline simulation
journal, May 2007
- Juanes, Ruben; Lie, Knut-Andreas
- Transport in Porous Media, Vol. 72, Issue 1
Transport in three-dimensionally heterogeneous aquifers: 1. Dynamics of concentration fluctuations
journal, June 1994
- Kapoor, Vivek; Gelhar, Lynn W.
- Water Resources Research, Vol. 30, Issue 6
The dispersion zone between fluids with different density and viscosity in a heterogeneous porous medium
journal, May 1994
- Kempers, L. J. T. M.; Haas, H.
- Journal of Fluid Mechanics, Vol. 267
Prediction by the method of moments of transport in a heterogeneous formation
journal, September 1988
- Kitanidis, Peter K.
- Journal of Hydrology, Vol. 102, Issue 1-4
Nonlinear unstable viscous fingers in Hele–Shaw flows. I. Experiments
journal, January 1988
- Kopf-Sill, Anne R.; Homsy, G. M.
- Physics of Fluids, Vol. 31, Issue 2
A Method for Predicting the Performance of Unstable Miscible Displacement in Heterogeneous Media
journal, June 1963
- Koval, E. J.
- Society of Petroleum Engineers Journal, Vol. 3, Issue 02
3D Instability of Miscible Displacements in a Hele-Shaw Cell
journal, December 1997
- Lajeunesse, E.; Martin, J.; Rakotomalala, N.
- Physical Review Letters, Vol. 79, Issue 26
Non-Fickian dispersion in porous media: 2. Model validation from measurements at different scales: NON-FICKIAN DISPERSION IN POROUS MEDIA, 2
journal, June 2008
- Le Borgne, T.; Gouze, P.
- Water Resources Research, Vol. 44, Issue 6
Lagrangian Statistical Model for Transport in Highly Heterogeneous Velocity Fields
journal, August 2008
- Le Borgne, Tanguy; Dentz, Marco; Carrera, Jesus
- Physical Review Letters, Vol. 101, Issue 9
Non-Fickian mixing: Temporal evolution of the scalar dissipation rate in heterogeneous porous media
journal, December 2010
- Le Borgne, Tanguy; Dentz, Marco; Bolster, Diogo
- Advances in Water Resources, Vol. 33, Issue 12
Fingering instabilities in vertical miscible displacement flows in porous media
journal, April 1995
- Manickam, O.; Homsy, G. M.
- Journal of Fluid Mechanics, Vol. 288
A review of immiscible fluids in the subsurface: Properties, models, characterization and remediation
journal, September 1990
- Mercer, James W.; Cohen, Robert M.
- Journal of Contaminant Hydrology, Vol. 6, Issue 2
Miscible viscous fingering with linear adsorption on the porous matrix
journal, July 2007
- Mishra, M.; Martin, M.; De Wit, A.
- Physics of Fluids, Vol. 19, Issue 7
Differences in miscible viscous fingering of finite width slices with positive or negative log-mobility ratio
journal, December 2008
- Mishra, M.; Martin, M.; De Wit, A.
- Physical Review E, Vol. 78, Issue 6
Surfactant-enhanced remediation of contaminated soil: a review
journal, June 2001
- Mulligan, C. N.; Yong, R. N.; Gibbs, B. F.
- Engineering Geology, Vol. 60, Issue 1-4
Experimental study on miscible viscous fingering involving viscosity changes induced by variations in chemical species concentrations due to chemical reactions
journal, January 2007
- Nagatsu, Yuichiro; Matsuda, Kenji; Kato, Yoshihito
- Journal of Fluid Mechanics, Vol. 571
Anomalous physical transport in complex networks
journal, November 2010
- Nicolaides, Christos; Cueto-Felgueroso, Luis; Juanes, Ruben
- Physical Review E, Vol. 82, Issue 5
Fingering with miscible fluids in a Hele Shaw cell
journal, January 1985
- Paterson, Lincoln
- Physics of Fluids, Vol. 28, Issue 1
Miscible displacements in capillary tubes. Part 1. Experiments
journal, November 1996
- Petitjeans, P.; Maxworthy, T.
- Journal of Fluid Mechanics, Vol. 326
Miscible quarter five-spot displacements in a Hele-Shaw cell and the role of flow-induced dispersion
journal, July 1999
- Petitjeans, Philippe; Chen, Ching-Yao; Meiburg, Eckart
- Physics of Fluids, Vol. 11, Issue 7
The instability of thermal and fluid fronts during radial injection in a porous medium
journal, January 1999
- Pritchard, David
- Journal of Fluid Mechanics, Vol. 508
Three-dimensional miscible displacement simulations in homogeneous porous media with gravity override
journal, November 2003
- Riaz, A.; Meiburg, E.
- Journal of Fluid Mechanics, Vol. 494
Miscible rectilinear displacements with gravity override. Part 1. Homogeneous porous medium
journal, October 2000
- Ruith, Michael; Meiburg, Eckart
- Journal of Fluid Mechanics, Vol. 420
Scaling and unified characterization of flow instabilities in layered heterogeneous porous media
journal, September 2013
- Sajjadi, M.; Azaiez, J.
- Physical Review E, Vol. 88, Issue 3
Effectiveness of Various Aquifer Restoration Schemes Under Variable Hydrogeologic Conditions
journal, July 1988
- Satkin, Richard L.; Bedient, Philip B.
- Ground Water, Vol. 26, Issue 4
Simulation of nonlinear viscous fingering in miscible displacement
journal, January 1988
- Tan, C. T.; Homsy, G. M.
- Physics of Fluids, Vol. 31, Issue 6
Viscous fingering with permeability heterogeneity
journal, June 1992
- Tan, C. ‐T.; Homsy, G. M.
- Physics of Fluids A: Fluid Dynamics, Vol. 4, Issue 6
Effects of incomplete mixing on multicomponent reactive transport
journal, November 2009
- Tartakovsky, A. M.; Tartakovsky, G. D.; Scheibe, T. D.
- Advances in Water Resources, Vol. 32, Issue 11
Interaction of Viscous Fingering, Permeability Heterogeneity, and Gravity Segregation in Three Dimensions
journal, November 1994
- Tchelepi, H. A.; Orr, F. M.
- SPE Reservoir Engineering, Vol. 9, Issue 04
Dispersion, permeability heterogeneity, and viscous fingering: Acoustic experimental observations and particle‐tracking simulations
journal, July 1993
- Tchelepi, H. A.; Orr, F. M.; Rakotomalala, N.
- Physics of Fluids A: Fluid Dynamics, Vol. 5, Issue 7
Stochastic Analysis of the Effects of Fluid Density and Viscosity Variability on Macrodispersion in Heterogeneous Porous Media
journal, August 1991
- Welty, Claire; Gelhar, Lynn W.
- Water Resources Research, Vol. 27, Issue 8
Dispersion driven instability in miscible displacement in porous media
journal, January 1988
- Yortsos, Y. C.; Zeybek, M.
- Physics of Fluids, Vol. 31, Issue 12
Viscous fingering in five-spot experimental porous media: new experimental results and numerical simulation
journal, January 1997
- Zhang, H. R.; Sorbie, K. S.; Tsibuklis, N. B.
- Chemical Engineering Science, Vol. 52, Issue 1
Nonlinear viscous fingering in miscible displacement with anisotropic dispersion
journal, August 1991
- Zimmerman, W. B.; Homsy, G. M.
- Physics of Fluids A: Fluid Dynamics, Vol. 3, Issue 8
Three‐dimensional viscous fingering: A numerical study
journal, September 1992
- Zimmerman, W. B.; Homsy, G. M.
- Physics of Fluids A: Fluid Dynamics, Vol. 4, Issue 9
Viscous fingering in miscible displacements: Unification of effects of viscosity contrast, anisotropic dispersion, and velocity dependence of dispersion on nonlinear finger propagation
journal, November 1992
- Zimmerman, W. B.; Homsy, G. M.
- Physics of Fluids A: Fluid Dynamics, Vol. 4, Issue 11
When good statistical models of aquifer heterogeneity go bad: A comparison of flow, dispersion, and mass transfer in connected and multivariate Gaussian hydraulic conductivity fields: FLOW, DISPERSION, AND MASS TRANSFER
journal, March 2003
- Zinn, Brendan; Harvey, Charles F.
- Water Resources Research, Vol. 39, Issue 3
Works referencing / citing this record:
Control of viscous fingering and mixing in miscible displacements with time-dependent rates
journal, September 2018
- Yuan, Qingwang; Zhou, Xiang; Wang, Jinjie
- AIChE Journal, Vol. 65, Issue 1
The dynamics of miscible viscous fingering from onset to shutdown
journal, January 2018
- Nijjer, Japinder S.; Hewitt, Duncan R.; Neufeld, Jerome A.
- Journal of Fluid Mechanics, Vol. 837
Stable and unstable miscible displacements in layered porous media
journal, April 2019
- Nijjer, Japinder S.; Hewitt, Duncan R.; Neufeld, Jerome A.
- Journal of Fluid Mechanics, Vol. 869
Stable and unstable miscible displacements in layered porous media.
text, January 2019
- Nijjer, Japinder S.; Hewitt, Duncan; Neufeld, Jerome
- Apollo - University of Cambridge Repository