Pore-scale intermittent velocity structure underpinning anomalous transport through 3-D porous media
Abstract
We study the nature of non-Fickian particle transport in 3-D porous media by simulating fluid flow in the intricate pore space of real rock. We solve the full Navier-Stokes equations at the same resolution as the 3-D micro-CT (computed tomography) image of the rock sample and simulate particle transport along the streamlines of the velocity field. We find that transport at the pore scale is markedly anomalous: longitudinal spreading is superdiffusive, while transverse spreading is subdiffusive. We demonstrate that this anomalous behavior originates from the intermittent structure of the velocity field at the pore scale, which in turn emanates from the interplay between velocity heterogeneity and velocity correlation. Finally, we propose a continuous time random walk model that honors this intermittent structure at the pore scale and captures the anomalous 3-D transport behavior at the macroscale.
- Authors:
-
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Imperial College, London (United Kingdom); Petrobas E & P, Rio de Janeiro (Brazil)
- Imperial College, London (United Kingdom)
- 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:
- 1557840
- Grant/Contract Number:
- SC0003907
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Geophysical Research Letters
- Additional Journal Information:
- Journal Volume: 41; Journal Issue: 17; Journal ID: ISSN 0094-8276
- Publisher:
- American Geophysical Union
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 54 ENVIRONMENTAL SCIENCES
Citation Formats
Kang, Peter K., de Anna, Pietro, Nunes, Joao P., Bijeljic, Branko, Blunt, Martin J., and Juanes, Ruben. Pore-scale intermittent velocity structure underpinning anomalous transport through 3-D porous media. United States: N. p., 2014.
Web. doi:10.1002/2014GL061475.
Kang, Peter K., de Anna, Pietro, Nunes, Joao P., Bijeljic, Branko, Blunt, Martin J., & Juanes, Ruben. Pore-scale intermittent velocity structure underpinning anomalous transport through 3-D porous media. United States. https://doi.org/10.1002/2014GL061475
Kang, Peter K., de Anna, Pietro, Nunes, Joao P., Bijeljic, Branko, Blunt, Martin J., and Juanes, Ruben. Wed .
"Pore-scale intermittent velocity structure underpinning anomalous transport through 3-D porous media". United States. https://doi.org/10.1002/2014GL061475. https://www.osti.gov/servlets/purl/1557840.
@article{osti_1557840,
title = {Pore-scale intermittent velocity structure underpinning anomalous transport through 3-D porous media},
author = {Kang, Peter K. and de Anna, Pietro and Nunes, Joao P. and Bijeljic, Branko and Blunt, Martin J. and Juanes, Ruben},
abstractNote = {We study the nature of non-Fickian particle transport in 3-D porous media by simulating fluid flow in the intricate pore space of real rock. We solve the full Navier-Stokes equations at the same resolution as the 3-D micro-CT (computed tomography) image of the rock sample and simulate particle transport along the streamlines of the velocity field. We find that transport at the pore scale is markedly anomalous: longitudinal spreading is superdiffusive, while transverse spreading is subdiffusive. We demonstrate that this anomalous behavior originates from the intermittent structure of the velocity field at the pore scale, which in turn emanates from the interplay between velocity heterogeneity and velocity correlation. Finally, we propose a continuous time random walk model that honors this intermittent structure at the pore scale and captures the anomalous 3-D transport behavior at the macroscale.},
doi = {10.1002/2014GL061475},
journal = {Geophysical Research Letters},
number = 17,
volume = 41,
place = {United States},
year = {Wed Aug 27 00:00:00 EDT 2014},
month = {Wed Aug 27 00:00:00 EDT 2014}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 123 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:
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
Pore-scale modeling and continuous time random walk analysis of dispersion in porous media: RAPID COMMUNICATION
journal, January 2006
- Bijeljic, Branko; Blunt, Martin J.
- Water Resources Research, Vol. 42, Issue 1
Pore-scale modeling of transverse dispersion in porous media: PORE-SCALE MODELING OF TRANSVERSE DISPERSION
journal, November 2007
- Bijeljic, Branko; Blunt, Martin J.
- Water Resources Research, Vol. 43, Issue 12
Signature of Non-Fickian Solute Transport in Complex Heterogeneous Porous Media
journal, November 2011
- Bijeljic, Branko; Mostaghimi, Peyman; Blunt, Martin J.
- Physical Review Letters, Vol. 107, Issue 20
Predictions of non-Fickian solute transport in different classes of porous media using direct simulation on pore-scale images
journal, January 2013
- Bijeljic, Branko; Raeini, Ali; Mostaghimi, Peyman
- Physical Review E, Vol. 87, Issue 1
Modeling preasymptotic transport in flows with significant inertial and trapping effects – The importance of velocity correlations and a spatial Markov model
journal, August 2014
- Bolster, Diogo; Méheust, Yves; Le Borgne, Tanguy
- Advances in Water Resources, Vol. 70
Three-dimensional vortices in single pores and their effects on transport
journal, January 2008
- Cardenas, M. Bayani
- Geophysical Research Letters, Vol. 35, Issue 18
Anomalous Transport in “Classical” Soil and Sand Columns
journal, January 2004
- Cortis, Andrea; Berkowitz, Brian
- Soil Science Society of America Journal, Vol. 68, Issue 5
Spatial Fluctuations of Fluid Velocities in Flow through a Three-Dimensional Porous Medium
journal, August 2013
- Datta, Sujit S.; Chiang, H.; Ramakrishnan, T. S.
- Physical Review Letters, Vol. 111, Issue 6
Flow Intermittency, Dispersion, and Correlated Continuous Time Random Walks in Porous Media
journal, May 2013
- de Anna, Pietro; Le Borgne, Tanguy; Dentz, Marco
- Physical Review Letters, Vol. 110, Issue 18
Transport behavior of a passive solute in continuous time random walks and multirate mass transfer: TRANSPORT BEHAVIOR OF A PASSIVE SOLUTE
journal, May 2003
- Dentz, Marco; Berkowitz, Brian
- Water Resources Research, Vol. 39, Issue 5
Distribution- Versus Correlation-Induced Anomalous Transport in Quenched Random Velocity Fields
journal, December 2010
- Dentz, Marco; Bolster, Diogo
- Physical Review Letters, Vol. 105, Issue 24
Time behavior of solute transport in heterogeneous media: transition from anomalous to normal transport
journal, February 2004
- Dentz, Marco; Cortis, Andrea; Scher, Harvey
- Advances in Water Resources, Vol. 27, Issue 2
Origins of anomalous transport in heterogeneous media: Structural and dynamic controls
journal, February 2014
- Edery, Yaniv; Guadagnini, Alberto; Scher, Harvey
- Water Resources Research, Vol. 50, Issue 2
Reductions of E. coli, echovirus type 12 and bacteriophages in an intermittently operated household-scale slow sand filter
journal, May 2008
- Elliott, M. A.; Stauber, C. E.; Koksal, F.
- Water Research, Vol. 42, Issue 10-11
Large-scale natural gradient tracer test in sand and gravel, Cape Cod, Massachusetts: 2. Analysis of spatial moments for a nonreactive tracer
journal, May 1991
- Garabedian, Stephen P.; LeBlanc, Dennis R.; Gelhar, Lynn W.
- Water Resources Research, Vol. 27, Issue 5
Water balance of global aquifers revealed by groundwater footprint
journal, August 2012
- Gleeson, Tom; Wada, Yoshihide; Bierkens, Marc F. P.
- Nature, Vol. 488, Issue 7410
Multiple-Rate Mass Transfer for Modeling Diffusion and Surface Reactions in Media with Pore-Scale Heterogeneity
journal, June 1995
- Haggerty, Roy; Gorelick, Steven M.
- Water Resources Research, Vol. 31, Issue 10
Arsenic Mobility and Groundwater Extraction in Bangladesh
journal, November 2002
- Harvey, C. F.
- Science, Vol. 298, Issue 5598
Influence of Stagnant Zones on Transient and Asymptotic Dispersion in Macroscopically Homogeneous Porous Media
journal, May 2002
- Kandhai, D.; Hlushkou, D.; Hoekstra, A. G.
- Physical Review Letters, Vol. 88, Issue 23
Spatial Markov Model of Anomalous Transport Through Random Lattice Networks
journal, October 2011
- Kang, Peter K.; Dentz, Marco; Le Borgne, Tanguy
- Physical Review Letters, Vol. 107, Issue 18
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
Long Time Correlations in Lagrangian Dynamics: A Key to Intermittency in Turbulence
journal, December 2002
- Mordant, N.; Delour, J.; Léveque, E.
- Physical Review Letters, Vol. 89, Issue 25
Analysis of dispersion in porous media via matched-index particle tracking velocimetry experiments
journal, January 2007
- Moroni, Monica; Kleinfelter, Natalie; Cushman, John H.
- Advances in Water Resources, Vol. 30, Issue 1
Simulation of Flow and Dispersion on Pore-Space Images
journal, December 2012
- Mostaghimi, Peyman; Bijeljic, Branko; Blunt, Martin
- SPE Journal, Vol. 17, Issue 04
Use of Carbon Dioxide in Enhanced Oil Recovery
journal, May 1984
- Orr, F. M.; Taber, J. J.
- Science, Vol. 224, Issue 4649
Experimental Investigation and Pore-Scale Modeling Interpretation of Compound-Specific Transverse Dispersion in Porous Media
journal, February 2012
- Rolle, Massimo; Hochstetler, David; Chiogna, Gabriele
- Transport in Porous Media, Vol. 93, Issue 3
Quantitative nuclear magnetic resonance measurements of preasymptotic dispersion in flow through porous media
journal, November 2005
- Scheven, U. M.; Verganelakis, D.; Harris, R.
- Physics of Fluids, Vol. 17, Issue 11
Lifetime of carbon capture and storage as a climate-change mitigation technology
journal, March 2012
- Szulczewski, M. L.; MacMinn, C. W.; Herzog, H. J.
- Proceedings of the National Academy of Sciences, Vol. 109, Issue 14
Langevin model for reactive transport in porous media
journal, August 2010
- Tartakovsky, Alexandre M.
- Physical Review E, Vol. 82, Issue 2
Mixing-induced precipitation: Experimental study and multiscale numerical analysis: MIXING-INDUCED PRECIPITATION
journal, June 2008
- Tartakovsky, A. M.; Redden, G.; Lichtner, P. C.
- Water Resources Research, Vol. 44, Issue 6
Anomalous diffusion in correlated continuous time random walks
journal, February 2010
- Tejedor, Vincent; Metzler, Ralf
- Journal of Physics A: Mathematical and Theoretical, Vol. 43, Issue 8
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
Land-Surface Contamination by Radionuclides from the Fukushima Daiichi Nuclear Power Plant Accident
journal, June 2012
- Yoshida, N.; Takahashi, Y.
- Elements, Vol. 8, Issue 3
Large-scale natural gradient tracer test in sand and gravel, Cape Cod, Massachusetts. 2. Analysis of spatial moments for a nonreactive tracer
journal, November 1991
- Garabedian, S. P.; LeBlanc, D. R.; Gelhar, L. W.
- International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, Vol. 28, Issue 6
Coherence resonance in influencer networks
journal, January 2021
- Tönjes, Ralf; Fiore, Carlos E.; Pereira, Tiago
- Nature Communications, Vol. 12, Issue 1
Turbulent Flows
journal, October 2001
- Pope, Stephen B.
- Measurement Science and Technology, Vol. 12, Issue 11
The Fokker-Planck equation [Уравнение Фоккера-Планка]
journal, January 1998
- Olemskoi, A. I.
- Uspekhi Fizicheskih Nauk, Vol. 168, Issue 4
Spatial Fluctuations Of Fluid Velocities In Flow Through A Three-Dimensional Porous Medium
text, January 2013
- Datta, Sujit S.; Chiang, Harry; Ramakrishnan, T. S.
- arXiv
Works referencing / citing this record:
Pore‐Scale Hydrodynamics in a Progressively Bioclogged Three‐Dimensional Porous Medium: 3‐D Particle Tracking Experiments and Stochastic Transport Modeling
journal, March 2018
- Carrel, M.; Morales, V. L.; Dentz, M.
- Water Resources Research, Vol. 54, Issue 3
Effective Models for Transport in Complex Heterogeneous Hydrologic Systems
book, January 2019
- Sund, Nicole; Aquino, Tomás; Bolster, Diogo
- Encyclopedia of Water: Science, Technology, and Society
Anomalous Dispersion in Pore-Scale Simulations of Two-Phase Flow
journal, October 2018
- Triadis, Dimetre; Jiang, Fei; Bolster, Diogo
- Transport in Porous Media, Vol. 126, Issue 2
Upscaling of Anomalous Pore-Scale Dispersion
journal, April 2019
- Puyguiraud, Alexandre; Gouze, Philippe; Dentz, Marco
- Transport in Porous Media, Vol. 128, Issue 2
Is There a Representative Elementary Volume for Anomalous Dispersion?
journal, November 2019
- Puyguiraud, Alexandre; Gouze, Philippe; Dentz, Marco
- Transport in Porous Media, Vol. 131, Issue 2
Chaotic mixing in three-dimensional porous media
journal, August 2016
- Lester, Daniel R.; Dentz, Marco; Le Borgne, Tanguy
- Journal of Fluid Mechanics, Vol. 803
Mechanisms of dispersion in a porous medium
journal, March 2018
- Dentz, M.; Icardi, M.; Hidalgo, J. J.
- Journal of Fluid Mechanics, Vol. 841
Chaotic mixing in crystalline granular media
journal, May 2019
- Turuban, Régis; Lester, Daniel R.; Heyman, Joris
- Journal of Fluid Mechanics, Vol. 871
Temporal Markov Processes for Transport in Porous Media: Random Lattice Networks
journal, May 2018
- Delgoshaie, Amir H.; Jenny, Patrick; Tchelepi, Hamdi A.
- Water Resources Research, Vol. 54, Issue 5
Trajectories as Training Images to Simulate Advective‐Diffusive, Non‐Fickian Transport
journal, April 2019
- Most, Sebastian; Bolster, Diogo; Bijeljic, Branko
- Water Resources Research, Vol. 55, Issue 4
A Flexible Temporal Velocity Model for Fast Contaminant Transport Simulations in Porous Media
journal, October 2018
- Delgoshaie, Amir H.; Glynn, Peter W.; Jenny, Patrick
- Water Resources Research, Vol. 54, Issue 10
Upscaling and Prediction of Lagrangian Velocity Dynamics in Heterogeneous Porous Media
journal, May 2019
- Hakoun, Vivien; Comolli, Alessandro; Dentz, Marco
- Water Resources Research
Ubiquity of anomalous transport in porous media: Numerical evidence, continuous time random walk modelling, and hydrodynamic interpretation
journal, March 2019
- Yang, Xiao-Rong; Wang, Yan
- Scientific Reports, Vol. 9, Issue 1
Solute transport in porous media studied by lattice Boltzmann simulations at pore scale and x-ray tomography experiments
journal, December 2019
- Zhang, Chunwei; Suekane, Tetsuya; Minokawa, Kosuke
- Physical Review E, Vol. 100, Issue 6
Solvable continuous-time random walk model of the motion of tracer particles through porous media
journal, August 2016
- Fouxon, Itzhak; Holzner, Markus
- Physical Review E, Vol. 94, Issue 2
Prediction of the low-velocity distribution from the pore structure in simple porous media
journal, December 2017
- de Anna, Pietro; Quaife, Bryan; Biros, George
- Physical Review Fluids, Vol. 2, Issue 12
Stochastic model for filtration by porous materials
journal, September 2019
- Miele, Filippo; de Anna, Pietro; Dentz, Marco
- Physical Review Fluids, Vol. 4, Issue 9
Space-Group Symmetries Generate Chaotic Fluid Advection in Crystalline Granular Media
journal, January 2018
- Turuban, R.; Lester, D. R.; Le Borgne, T.
- Physical Review Letters, Vol. 120, Issue 2
Dependency of flow and transport properties on aperture distributions and compression states
journal, September 2018
- Ma, Joseph H. Y.; Li, Yunyue Elita; Cheng, Arthur
- Geophysical Prospecting, Vol. 67, Issue 4
Anomalous dispersion in correlated porous media: a coupled continuous time random walk approach
journal, September 2017
- Comolli, Alessandro; Dentz, Marco
- The European Physical Journal B, Vol. 90, Issue 9
Impact of Synthetic Porous Medium Geometric Properties on Solute Transport Using Direct 3D Pore-Scale Simulations
journal, April 2019
- Di Palma, Paolo Roberto; Guyennon, Nicolas; Parmigiani, Andrea
- Geofluids, Vol. 2019
Impact of Synthetic Porous Medium Geometric Properties on Solute Transport Using Direct 3D Pore-Scale Simulations
text, January 2019
- R., Di Palma, Paolo; Nicolas, Guyennon,; Andrea, Parmigiani,
- ETH Zurich
Pore-Scale Hydrodynamics in a Progressively Bioclogged Three-Dimensional Porous Medium: 3-D Particle Tracking Experiments and Stochastic Transport Modeling
text, January 2018
- Carrel, Maxence; Morales, Verónica L.; Dentz, Marco
- ETH Zurich
Stress‐Induced Anomalous Transport in Natural Fracture Networks
text, January 2019
- Kang, Peter K.; Lei, Qinghua; Dentz, Marco
- ETH Zurich
Anomalous dispersion in correlated porous media: A coupled continuous time random walk approach
text, January 2017
- Comolli, Alessandro; Dentz, Marco
- arXiv
Temporal Markov Processes for Transport in Porous Media: Random Lattice Networks
text, January 2017
- Delgoshaie, Amir H.; Jenny, Patrick; Tchelepi, Hamdi A.
- arXiv