Flow Channeling in Fracture Networks: Characterizing the Effect of Density on Preferential Flow Path Formation
Abstract
Abstract Flow channelization is a commonly observed phenomenon in fractured subsurface media where the flow of fluids is restricted primarily to highly transmissive fracture networks surrounded by a low‐permeability rock matrix. The multiscale structural heterogeneity of these networks results in multiscale flow channelization where preferential flow paths form at length scales ranging from the entire system down to the subfracture size. We present an analysis of how one of the largest scales in fractured media, the network density, influences the degree of flow channeling that occurs using an ensemble of semigeneric three‐dimensional discrete fracture network (DFN) simulations. We construct 10 DFNs, whose fracture lengths follow a power law distribution, at four densities for a total of 40 networks. We characterize their structure in terms of the network topology and geometry. Eulerian and Lagrangian observations of the steady‐state flow fields obtained within the networks are used to quantify the degree of flow channelization at the network scale. We introduce a measure for the importance‐ranking/hierarchy of different flow paths in the network using graph‐based analysis of Lagrangian transport by which the degree of flow channeling between networks is compared. These flow observations are then linked to the structural properties of the networks.more »
- Authors:
-
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Earth and Environmental Sciences Division, Computational Earth Science Group (EES‐16)
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1813847
- Alternate Identifier(s):
- OSTI ID: 1786876
- Report Number(s):
- LA-UR-20-23557
Journal ID: ISSN 0043-1397
- Grant/Contract Number:
- 89233218CNA000001
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Water Resources Research
- Additional Journal Information:
- Journal Volume: 56; Journal Issue: 9; Journal ID: ISSN 0043-1397
- Publisher:
- American Geophysical Union (AGU)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 58 GEOSCIENCES
Citation Formats
Hyman, Jeffrey D. Flow Channeling in Fracture Networks: Characterizing the Effect of Density on Preferential Flow Path Formation. United States: N. p., 2020.
Web. doi:10.1029/2020wr027986.
Hyman, Jeffrey D. Flow Channeling in Fracture Networks: Characterizing the Effect of Density on Preferential Flow Path Formation. United States. https://doi.org/10.1029/2020wr027986
Hyman, Jeffrey D. Wed .
"Flow Channeling in Fracture Networks: Characterizing the Effect of Density on Preferential Flow Path Formation". United States. https://doi.org/10.1029/2020wr027986. https://www.osti.gov/servlets/purl/1813847.
@article{osti_1813847,
title = {Flow Channeling in Fracture Networks: Characterizing the Effect of Density on Preferential Flow Path Formation},
author = {Hyman, Jeffrey D.},
abstractNote = {Abstract Flow channelization is a commonly observed phenomenon in fractured subsurface media where the flow of fluids is restricted primarily to highly transmissive fracture networks surrounded by a low‐permeability rock matrix. The multiscale structural heterogeneity of these networks results in multiscale flow channelization where preferential flow paths form at length scales ranging from the entire system down to the subfracture size. We present an analysis of how one of the largest scales in fractured media, the network density, influences the degree of flow channeling that occurs using an ensemble of semigeneric three‐dimensional discrete fracture network (DFN) simulations. We construct 10 DFNs, whose fracture lengths follow a power law distribution, at four densities for a total of 40 networks. We characterize their structure in terms of the network topology and geometry. Eulerian and Lagrangian observations of the steady‐state flow fields obtained within the networks are used to quantify the degree of flow channelization at the network scale. We introduce a measure for the importance‐ranking/hierarchy of different flow paths in the network using graph‐based analysis of Lagrangian transport by which the degree of flow channeling between networks is compared. These flow observations are then linked to the structural properties of the networks. In general, network‐scale flow channeling decreases as the network density increases. However, at low densities, there is more uniform flow within the entire connected network than in high‐density networks. We also demonstrate how standard transport observables can be used to infer the degree of flow channelization occurring within a fracture network.},
doi = {10.1029/2020wr027986},
journal = {Water Resources Research},
number = 9,
volume = 56,
place = {United States},
year = {Wed Aug 26 00:00:00 EDT 2020},
month = {Wed Aug 26 00:00:00 EDT 2020}
}
Works referenced in this record:
A comparative study of discrete fracture network and equivalent continuum models for simulating flow and transport in the far field of a hypothetical nuclear waste repository in crystalline host rock
journal, October 2017
- Hadgu, Teklu; Karra, Satish; Kalinina, Elena
- Journal of Hydrology, Vol. 553
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
Hydraulic conductivity of rock fractures
journal, April 1996
- Zimmerman, RobertW.; Bodvarsson, GudmundurS.
- Transport in Porous Media, Vol. 23, Issue 1
Topological impact of constrained fracture growth
journal, September 2015
- Hope, Sigmund Mongstad; Davy, Philippe; Maillot, Julien
- Frontiers in Physics, Vol. 3
Influence of injection mode on transport properties in kilometer-scale three-dimensional discrete fracture networks: INFLUENCE OF INJECTION MODE IN 3-D DFNs
journal, September 2015
- Hyman, J. D.; Painter, S. L.; Viswanathan, H.
- Water Resources Research, Vol. 51, Issue 9
Navier-Stokes flow and transport simulations using real fractures shows heavy tailing due to eddies
journal, January 2007
- Cardenas, M. Bayani; Slottke, Donald T.; Ketcham, Richard A.
- Geophysical Research Letters, Vol. 34, Issue 14
Upscaled discrete fracture matrix model (UDFM): an octree-refined continuum representation of fractured porous media
journal, December 2019
- Sweeney, Matthew R.; Gable, Carl W.; Karra, Satish
- Computational Geosciences, Vol. 24, Issue 1
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
Flow enhancement of a rough fracture
journal, September 2000
- Méheust, Y.; Schmittbuhl, J.
- Geophysical Research Letters, Vol. 27, Issue 18
Transport behavior in three-dimensional fracture intersections: TRANSPORT IN THREE-DIMENSIONAL FRACTURE INTERSECTIONS
journal, August 2003
- Park, Young-Jin; Lee, Kang-Kun; Kosakowski, Georg
- Water Resources Research, Vol. 39, Issue 8
Flow channeling in heterogeneous fractured rocks
journal, May 1998
- Tsang, Chin-Fu; Neretnieks, Ivars
- Reviews of Geophysics, Vol. 36, Issue 2
Structural controls on anomalous transport in fractured porous rock: ANOMALOUS TRANSPORT IN FRACTURED POROUS ROCK
journal, July 2016
- Edery, Yaniv; Geiger, Sebastian; Berkowitz, Brian
- Water Resources Research, Vol. 52, Issue 7
Flow in Fractured Porous Media: A Review of Conceptual Models and Discretization Approaches
journal, October 2018
- Berre, Inga; Doster, Florian; Keilegavlen, Eirik
- Transport in Porous Media, Vol. 130, Issue 1
Trends, prospects and challenges in quantifying flow and transport through fractured rocks
journal, February 2005
- Neuman, Shlomo P.
- Hydrogeology Journal, Vol. 13, Issue 1
Geometrical heterogeneities and permeability anisotropy of rough fractures
journal, February 2001
- Méheust, Y.; Schmittbuhl, J.
- Journal of Geophysical Research: Solid Earth, Vol. 106, Issue B2
Characterizing the Impact of Fractured Caprock Heterogeneity on Supercritical CO$$_2$$ Injection
journal, November 2019
- Hyman, Jeffrey D.; Jiménez-Martínez, Joaquin; Gable, Carl W.
- Transport in Porous Media, Vol. 131, Issue 3
A model of fracture nucleation, growth and arrest, and consequences for fracture density and scaling: A DISCRETE FRACTURE NETWORK MODEL
journal, April 2013
- Davy, Philippe; Le Goc, Romain; Darcel, Caroline
- Journal of Geophysical Research: Solid Earth, Vol. 118, Issue 4
Power-law velocity distributions in fracture networks: Numerical evidence and implications for tracer transport: POWER-LAW VELOCITY DISTRIBUTIONS IN FRACTURE NETWORKS
journal, July 2002
- Painter, Scott; Cvetkovic, Vladimir; Selroos, Jan-Olof
- Geophysical Research Letters, Vol. 29, Issue 14
Effects of simplifying fracture network representation on inert chemical migration in fracture-controlled aquifers: EFFECTS OF FRACTURE NETWORK SIMPLIFICATION
journal, January 2009
- Wellman, Tristan P.; Shapiro, Allen M.; Hill, Mary C.
- Water Resources Research, Vol. 45, Issue 1
Localization of normal modes in vitreous silica, germania and beryllium fluoride
journal, October 1970
- Bell, R. J.; Dean, P.; Hibbins-Butler, D. C.
- Journal of Physics C: Solid State Physics, Vol. 3, Issue 10
An inverse problem methodology to identify flow channels in fractured media using synthetic steady-state head and geometrical data
journal, July 2010
- Le Goc, R.; de Dreuzy, J. -R.; Davy, P.
- Advances in Water Resources, Vol. 33, Issue 7
A methodology to constrain the parameters of a hydrogeological discrete fracture network model for sparsely fractured crystalline rock, exemplified by data from the proposed high-level nuclear waste repository site at Forsmark, Sweden
journal, December 2013
- Follin, Sven; Hartley, Lee; Rhén, Ingvar
- Hydrogeology Journal, Vol. 22, Issue 2
Emergence of Stable Laws for First Passage Times in Three-Dimensional Random Fracture Networks
journal, December 2019
- Hyman, Jeffrey D.; Dentz, Marco; Hagberg, Aric
- Physical Review Letters, Vol. 123, Issue 24
Transverse dispersion of contaminants in fractured permeable formations
journal, March 1996
- Rubin, Hillel; Buddemeier, Robert W.
- Journal of Hydrology, Vol. 176, Issue 1-4
Comparison of alternative methodologies for identifying and characterizing preferential flow paths in heterogeneous aquifers
journal, October 2007
- Le Borgne, T.; Bour, O.; Riley, M. S.
- Journal of Hydrology, Vol. 345, Issue 3-4
Radionuclide Transport in Fast Channels in Crystalline Rock
journal, August 1986
- Rasmuson, Anders; Neretnieks, Ivars
- Water Resources Research, Vol. 22, Issue 8
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
Entropy as a measure of centrality in networks characterized by path-transfer flow
journal, May 2007
- Tutzauer, Frank
- Social Networks, Vol. 29, Issue 2
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
Application of a fractional advection-dispersion equation
journal, February 2000
- Benson, David A.; Wheatcraft, Stephen W.; Meerschaert, Mark M.
- Water Resources Research, Vol. 36, Issue 6
Inference of field-scale fracture transmissivities in crystalline rock using flow log measurements: TRANSMISSIVITY INFERENCE FROM FLOW LOGS
journal, November 2010
- Frampton, A.; Cvetkovic, V.
- Water Resources Research, Vol. 46, Issue 11
Characterizing the Influence of Fracture Density on Network Scale Transport
journal, January 2020
- Sherman, Thomas; Hyman, Jeffrey; Dentz, Marco
- Journal of Geophysical Research: Solid Earth, Vol. 125, Issue 1
Effective permeability of fractured porous media with power-law distribution of fracture sizes
journal, September 2007
- Bogdanov, I. I.; Mourzenko, V. V.; Thovert, J. -F.
- Physical Review E, Vol. 76, Issue 3
Dispersion and Mixing in Three‐Dimensional Discrete Fracture Networks: Nonlinear Interplay Between Structural and Hydraulic Heterogeneity
journal, May 2018
- Hyman, J. D.; Jiménez‐Martínez, J.
- Water Resources Research, Vol. 54, Issue 5
Assessment of preferential flow path connectivity and hydraulic properties at single-borehole and cross-borehole scales in a fractured aquifer
journal, August 2006
- Le Borgne, T.; Bour, O.; Paillet, F. L.
- Journal of Hydrology, Vol. 328, Issue 1-2
The shale gas revolution: Barriers, sustainability, and emerging opportunities
journal, August 2017
- Middleton, Richard S.; Gupta, Rajan; Hyman, Jeffrey D.
- Applied Energy, Vol. 199
Multi-scale groundwater flow modeling during temperate climate conditions for the safety assessment of the proposed high-level nuclear waste repository site at Forsmark, Sweden
journal, July 2014
- Joyce, Steven; Hartley, Lee; Applegate, David
- Hydrogeology Journal, Vol. 22, Issue 6
Mass transfer at fracture intersections: An evaluation of mixing models
journal, June 1994
- Berkowitz, Brian; Naumann, Curt; Smith, Leslie
- Water Resources Research, Vol. 30, Issue 6
Solute channeling in unsaturated heterogeneous porous media
journal, October 1997
- Birkholzer, Jens; Tsang, Chin-Fu
- Water Resources Research, Vol. 33, Issue 10
Pore-scale intermittent velocity structure underpinning anomalous transport through 3-D porous media
journal, September 2014
- Kang, Peter K.; de Anna, Pietro; Nunes, Joao P.
- Geophysical Research Letters, Vol. 41, Issue 17
PFLOTRAN User Manual: A Massively Parallel Reactive Flow and Transport Model for Describing Surface and Subsurface Processes
report, January 2015
- Lichtner, Peter; Hammond, Glenn; Lu, Chuan
The Behavior of Dense, Nonaqueous Phase Liquids in Fractured Clay and Rock
journal, September 1991
- Kueper, Bernard H.; McWhorter, David B.
- Ground Water, Vol. 29, Issue 5
Channeling and Fickian Dispersion in fractal simulated porous media
journal, December 1993
- Grindrod, Peter; Impey, Michael D.
- Water Resources Research, Vol. 29, Issue 12
Particle tracking approach for transport in three-dimensional discrete fracture networks: Particle tracking in 3-D DFNs
journal, September 2015
- Makedonska, Nataliia; Painter, Scott L.; Bui, Quan M.
- Computational Geosciences, Vol. 19, Issue 5
Saturation Dependence of Non‐Fickian Transport in Porous Media
journal, February 2019
- Hasan, Sharul; Joekar‐Niasar, Vahid; Karadimitriou, Nikolaos K.
- Water Resources Research, Vol. 55, Issue 2
Predictions of first passage times in sparse discrete fracture networks using graph-based reductions
journal, July 2017
- Hyman, Jeffrey D.; Hagberg, Aric; Srinivasan, Gowri
- Physical Review E, Vol. 96, Issue 1
Analysis and Visualization of Discrete Fracture Networks Using a Flow Topology Graph
journal, August 2017
- Aldrich, Garrett; Hyman, Jeffrey D.; Karra, Satish
- IEEE Transactions on Visualization and Computer Graphics, Vol. 23, Issue 8
On the relationship between indicators of geostatistical, flow and transport connectivity
journal, April 2005
- Knudby, Christen; Carrera, Jesús
- Advances in Water Resources, Vol. 28, Issue 4
A Large-Scale Flow and Tracer Experiment in Granite: 2. Results and Interpretation
journal, December 1991
- Abelin, Harald; Birgersson, Lars; Moreno, Luis
- Water Resources Research, Vol. 27, Issue 12
Conservative transport upscaling based on information of connectivity: Transport upscaling using connectivity
journal, September 2016
- Tyukhova, Alina R.; Willmann, Matthias
- Water Resources Research, Vol. 52, Issue 9
A Probabilistic Clustering Approach for Identifying Primary Subnetworks of Discrete Fracture Networks with Quantified Uncertainty
journal, January 2020
- Osthus, Dave; Hyman, Jeffrey D.; Karra, Satish
- SIAM/ASA Journal on Uncertainty Quantification, Vol. 8, Issue 2
Dispersion in three-dimensional fracture networks
journal, March 2001
- Huseby, O.; Thovert, J. -F.; Adler, P. M.
- Physics of Fluids, Vol. 13, Issue 3
Identifying Backbones in Three-Dimensional Discrete Fracture Networks: A Bipartite Graph-Based Approach
journal, January 2018
- Hyman, Jeffrey D.; Hagberg, Aric; Osthus, Dave
- Multiscale Modeling & Simulation, Vol. 16, Issue 4
Permeability of Three‐Dimensional Numerically Grown Geomechanical Discrete Fracture Networks With Evolving Geometry and Mechanical Apertures
journal, April 2020
- Thomas, Robin N.; Paluszny, Adriana; Zimmerman, Robert W.
- Journal of Geophysical Research: Solid Earth, Vol. 125, Issue 4
Multilevel Monte Carlo Predictions of First Passage Times in Three‐Dimensional Discrete Fracture Networks: A Graph‐Based Approach
journal, June 2020
- Berrone, S.; Hyman, J. D.; Pieraccini, S.
- Water Resources Research, Vol. 56, Issue 6
Understanding hydraulic fracturing: a multi-scale problem
journal, October 2016
- Hyman, J. D.; Jiménez-Martínez, J.; Viswanathan, H. S.
- Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 374, Issue 2078
Flow channeling in a single fracture as a two-dimensional strongly heterogeneous permeable medium
journal, September 1989
- Tsang, Y. W.; Tsang, C. F.
- Water Resources Research, Vol. 25, Issue 9
Scaling of fracture systems in geological media
journal, August 2001
- Bonnet, E.; Bour, O.; Odling, N. E.
- Reviews of Geophysics, Vol. 39, Issue 3
Hyperbolic regions in flows through three-dimensional pore structures
journal, December 2013
- Hyman, Jeffrey D.; Winter, C. Larrabee
- Physical Review E, Vol. 88, Issue 6
Localization and fault growth in layered brittle-ductile systems: Implications for deformations of the continental lithosphere
journal, April 1995
- Davy, P.; Hansen, A.; Bonnet, E.
- Journal of Geophysical Research: Solid Earth, Vol. 100, Issue B4
A likely universal model of fracture scaling and its consequence for crustal hydromechanics
journal, January 2010
- Davy, P.; Le Goc, R.; Darcel, C.
- Journal of Geophysical Research, Vol. 115, Issue B10
Solute transport in variable-aperture fractures: An investigation of the relative importance of Taylor dispersion and macrodispersion
journal, July 2000
- Detwiler, Russell L.; Rajaram, Harihar; Glass, Robert J.
- Water Resources Research, Vol. 36, Issue 7
Simulation of the von mises fisher distribution
journal, January 1994
- Wood, Andrew T. A.
- Communications in Statistics - Simulation and Computation, Vol. 23, Issue 1
A Threshold Selection Method from Gray-Level Histograms
journal, January 1979
- Otsu, Nobuyuki
- IEEE Transactions on Systems, Man, and Cybernetics, Vol. 9, Issue 1
Characterizing the impact of particle behavior at fracture intersections in three-dimensional discrete fracture networks
journal, January 2019
- Sherman, Thomas; Hyman, Jeffrey D.; Bolster, Diogo
- Physical Review E, Vol. 99, Issue 1
Entropy and Distance of Random Graphs with Application to Structural Pattern Recognition
journal, September 1985
- Wong, Andrew K. C.; You, Manlai
- IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. PAMI-7, Issue 5
Homogenization of Dissolution and Enhanced Precipitation Induced by Bubbles in Multiphase Flow Systems
journal, April 2020
- Jiménez‐Martínez, Joaquín; Hyman, Jeffrey D.; Chen, Yu
- Geophysical Research Letters, Vol. 47, Issue 7
Continuous time random walks for the evolution of Lagrangian velocities
journal, November 2016
- Dentz, Marco; Kang, Peter K.; Comolli, Alessandro
- Physical Review Fluids, Vol. 1, Issue 7
Percolation theory and its application to groundwater hydrology
journal, April 1993
- Berkowitz, Brian; Balberg, Isaac
- Water Resources Research, Vol. 29, Issue 4
Emergence of anomalous transport in stressed rough fractures
journal, November 2016
- Kang, Peter K.; Brown, Stephen; Juanes, Ruben
- Earth and Planetary Science Letters, Vol. 454
Topology of fracture networks
journal, January 2013
- Andresen, Christian André; Hansen, Alex; Le Goc, Romain
- Frontiers in Physics, Vol. 1
Assortative Mixing in Networks
journal, October 2002
- Newman, M. E. J.
- Physical Review Letters, Vol. 89, Issue 20
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
Comparison of alternative modelling approaches for groundwater flow in fractured rock
journal, February 2002
- Selroos, Jan-Olof; Walker, Douglas D.; Ström, Anders
- Journal of Hydrology, Vol. 257, Issue 1-4
Fickian dispersion is anomalous
journal, December 2015
- Cushman, John H.; O’Malley, Dan
- Journal of Hydrology, Vol. 531
Hopping Conductivity in Disordered Systems
journal, October 1971
- Ambegaokar, Vinay; Halperin, B. I.; Langer, J. S.
- Physical Review B, Vol. 4, Issue 8
On the connectivity of three-dimensional fault networks
journal, October 1998
- Bour, Olivier; Davy, Philippe
- Water Resources Research, Vol. 34, Issue 10
dfnWorks: A discrete fracture network framework for modeling subsurface flow and transport
journal, November 2015
- Hyman, Jeffrey D.; Karra, Satish; Makedonska, Nataliia
- Computers & Geosciences, Vol. 84
Groundwater flows in weathered crystalline rocks: Impact of piezometric variations and depth-dependent fracture connectivity
journal, April 2014
- Guihéneuf, N.; Boisson, A.; Bour, O.
- Journal of Hydrology, Vol. 511
Major carbon 14 anomaly in a regional carbonate aquifer: Possible evidence for megascale channeling, South Central Great Basin
journal, December 1976
- Winograd, Isaac J.; Pearson, F. J.
- Water Resources Research, Vol. 12, Issue 6
Linking Structural and Transport Properties in Three‐Dimensional Fracture Networks
journal, February 2019
- Hyman, J. D.; Dentz, M.; Hagberg, A.
- Journal of Geophysical Research: Solid Earth, Vol. 124, Issue 2
Connectivity, permeability, and channeling in randomly distributed and kinematically defined discrete fracture network models: PERMEABILITY OF DISCRETE FRACTURE NETWORK
journal, November 2016
- Maillot, J.; Davy, P.; Le Goc, R.
- Water Resources Research, Vol. 52, Issue 11
A Discrete Fracture Network Model With Stress-Driven Nucleation: Impact on Clustering, Connectivity, and Topology
journal, January 2020
- Lavoine, Etienne; Davy, Philippe; Darcel, Caroline
- Frontiers in Physics, Vol. 8
Conforming Delaunay Triangulation of Stochastically Generated Three Dimensional Discrete Fracture Networks: A Feature Rejection Algorithm for Meshing Strategy
journal, January 2014
- Hyman, Jeffrey D.; Gable, Carl W.; Painter, Scott L.
- SIAM Journal on Scientific Computing, Vol. 36, 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
Efficient Monte Carlo With Graph‐Based Subsurface Flow and Transport Models
journal, May 2018
- O'Malley, D.; Karra, S.; Hyman, J. D.
- Water Resources Research, Vol. 54, Issue 5
Anomalous transport on regular fracture networks: Impact of conductivity heterogeneity and mixing at fracture intersections
journal, August 2015
- Kang, Peter K.; Dentz, Marco; Le Borgne, Tanguy
- Physical Review E, Vol. 92, Issue 2
On the physical meaning of the dispersion equation and its solutions for different initial and boundary conditions
journal, January 1978
- Kreft, A.; Zuber, A.
- Chemical Engineering Science, Vol. 33, Issue 11
Eigenvector centrality for geometric and topological characterization of porous media
journal, July 2017
- Jimenez-Martinez, Joaquin; Negre, Christian F. A.
- Physical Review E, Vol. 96, Issue 1
A history of graph entropy measures
journal, January 2011
- Dehmer, Matthias; Mowshowitz, Abbe
- Information Sciences, Vol. 181, Issue 1
The state of the art in monitoring and verification—Ten years on
journal, September 2015
- Jenkins, Charles; Chadwick, Andy; Hovorka, Susan D.
- International Journal of Greenhouse Gas Control, Vol. 40
Multi-Scale Characterization of Fractured Rocks Used as a Means for the Realistic Simulation of Pollutant Migration Pathways in Contaminated Sites: A Case Study
journal, October 2004
- Klint, K. E. S.; Gravesen, P.; Rosenbom, A.
- Water, Air, & Soil Pollution: Focus, Vol. 4, Issue 4/5
Solute transport along preferential flow paths in unsaturated fractures
journal, October 2001
- Su, Grace W.; Geller, Jil T.; Pruess, Karsten
- Water Resources Research, Vol. 37, Issue 10
Stochastic simulation of radionuclide migration in discretely fractured rock near the Äspö Hard Rock Laboratory: RETENTION IN FRACTURE NETWORKS
journal, February 2004
- Cvetkovic, V.; Painter, S.; Outters, N.
- Water Resources Research, Vol. 40, Issue 2
Advective Transport in Discrete Fracture Networks With Connected and Disconnected Textures Representing Internal Aperture Variability
journal, July 2019
- Frampton, A.; Hyman, J. D.; Zou, L.
- Water Resources Research, Vol. 55, Issue 7
Classical Transport in Disordered Media: Scaling and Effective-Medium Theories
journal, December 1971
- Kirkpatrick, Scott
- Physical Review Letters, Vol. 27, Issue 25
Dissolution of non-aqueous-phase liquids and aqueous-phase contaminant transport in discretely-fractured porous media
journal, June 1996
- VanderKwaak, J. E.; Sudicky, E. A.
- Journal of Contaminant Hydrology, Vol. 23, Issue 1-2
Transverse mixing in three-dimensional nonstationary anisotropic heterogeneous porous media
journal, January 2015
- Cirpka, Olaf A.; Chiogna, Gabriele; Rolle, Massimo
- Water Resources Research, Vol. 51, Issue 1
Mixing in a three‐phase system: Enhanced production of oil‐wet reservoirs by CO 2 injection
journal, January 2016
- Jiménez‐Martínez, Joaquín; Porter, Mark L.; Hyman, Jeffrey D.
- Geophysical Research Letters, Vol. 43, Issue 1
Stochastic dynamics of intermittent pore-scale particle motion in three-dimensional porous media: Experiments and theory: PARTICLE MOTION DYNAMICS IN POROUS MEDIA
journal, September 2017
- Morales, V. L.; Dentz, M.; Willmann, M.
- Geophysical Research Letters, Vol. 44, Issue 18
Hydraulic properties of two-dimensional random fracture networks following power law distributions of length and aperture: PERMEABILITY OF HETEROGENEOUS FRACTURE NETWORKS
journal, December 2002
- de Dreuzy, J. -R.; Davy, P.; Bour, O.
- Water Resources Research, Vol. 38, Issue 12
Laboratory testing of the voids of a fracture
journal, April 1989
- Gentier, S.; Billaux, D.; van Vliet, L.
- Rock Mechanics and Rock Engineering, Vol. 22, Issue 2
Inertial Effects on Fluid Flow through Disordered Porous Media
journal, June 1999
- Andrade, J. S.; Costa, U. M. S.; Almeida, M. P.
- Physical Review Letters, Vol. 82, Issue 26
Connectivity metrics for subsurface flow and transport
journal, January 2013
- Renard, Philippe; Allard, Denis
- Advances in Water Resources, Vol. 51
Machine learning for graph-based representations of three-dimensional discrete fracture networks
journal, January 2018
- Valera, Manuel; Guo, Zhengyang; Kelly, Priscilla
- Computational Geosciences, Vol. 22, Issue 3
Anomalous Transport in Random Fracture Networks
journal, November 1997
- Berkowitz, Brian; Scher, Harvey
- Physical Review Letters, Vol. 79, Issue 20
Susceptibility of soils to preferential flow of water: A field study
journal, July 1994
- Flury, Markus; Flühler, Hannes; Jury, William A.
- Water Resources Research, Vol. 30, Issue 7
Upscaling discrete fracture network simulations: An alternative to continuum transport models: UPSCALING FRACTURE NETWORK SIMULATIONS
journal, February 2005
- Painter, S.; Cvetkovic, V.
- Water Resources Research, Vol. 41, Issue 2
Evaluating the effect of internal aperture variability on transport in kilometer scale discrete fracture networks
journal, August 2016
- Makedonska, Nataliia; Hyman, Jeffrey D.; Karra, Satish
- Advances in Water Resources, Vol. 94
Perspective on theories of non-Fickian transport in heterogeneous media
journal, May 2009
- Neuman, Shlomo P.; Tartakovsky, Daniel M.
- Advances in Water Resources, Vol. 32, Issue 5
A lattice-gas and lattice Boltzmann study of mixing at continuous fracture Junctions: Importance of boundary conditions
journal, June 1997
- Stockman, Harlan W.; Li, Chunhong; Wilson, John L.
- Geophysical Research Letters, Vol. 24, Issue 12
Spatial connectivity in a highly heterogeneous aquifer: From cores to preferential flow paths: SPATIAL CONNECTIVITY IN A HETEROGENEOUS AQUIFER
journal, May 2011
- Bianchi, Marco; Zheng, Chunmiao; Wilson, Crystal
- Water Resources Research, Vol. 47, Issue 5
Fracture size and transmissivity correlations: Implications for transport simulations in sparse three-dimensional discrete fracture networks following a truncated power law distribution of fracture size: FRACTURE SIZE AND TRANSMISSIVITY CORRELATIONS
journal, August 2016
- Hyman, J. D.; Aldrich, G.; Viswanathan, H.
- Water Resources Research, Vol. 52, Issue 8
Flow channeling in strongly heterogeneous porous media: A numerical study
journal, May 1994
- Moreno, Luis; Tsang, Chin-Fu
- Water Resources Research, Vol. 30, Issue 5
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
Connectivity of random fault networks following a power law fault length distribution
journal, July 1997
- Bour, Olivier; Davy, Philippe
- Water Resources Research, Vol. 33, Issue 7
Aperture measurements and flow experiments on a single natural fracture
journal, June 1996
- Hakami, Eva; Larsson, Erik
- International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, Vol. 33, Issue 4
Minimum Hydraulic Resistance and Least Resistance Path in Heterogeneous Porous Media: MINIMUM HYDRAULIC RESISTANCE
journal, October 2017
- Rizzo, Calogero B.; de Barros, Felipe P. J.
- Water Resources Research, Vol. 53, Issue 10
Numerical studies of localization in disordered systems
journal, April 1972
- Edwards, J. T.; Thouless, D. J.
- Journal of Physics C: Solid State Physics, Vol. 5, Issue 8
Effects of junction transfer characteristics on transport in fracture networks
journal, April 2001
- Park, Young-Jin; Lee, Kang-Kun; Berkowitz, Brian
- Water Resources Research, Vol. 37, Issue 4
Hydrodynamic dispersion in unsaturated porous media
journal, November 1983
- De Gennes, P. G.
- Journal of Fluid Mechanics, Vol. 136, Issue -1
Trapping zones: The effect of fracture roughness on the directional anisotropy of fluid flow and colloid transport in a single fracture
journal, January 2006
- Boutt, David F.; Grasselli, Giovanni; Fredrich, Joanne T.
- Geophysical Research Letters, Vol. 33, Issue 21
Percolation parameter and percolation-threshold estimates for three-dimensional random ellipses with widely scattered distributions of eccentricity and size
journal, November 2000
- de Dreuzy, J. -R.; Davy, P.; Bour, O.
- Physical Review E, Vol. 62, Issue 5
Anomalous transport in disordered fracture networks: Spatial Markov model for dispersion with variable injection modes
journal, August 2017
- Kang, Peter K.; Dentz, Marco; Le Borgne, Tanguy
- Advances in Water Resources, Vol. 106
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
Matrix Diffusion in Fractured Media: New Insights Into Power Law Scaling of Breakthrough Curves
journal, December 2019
- Hyman, Jeffrey D.; Rajaram, Harihar; Srinivasan, Shriram
- Geophysical Research Letters, Vol. 46, Issue 23
Geometry and topology of fracture systems
journal, March 1997
- Huseby, O.; Thovert, J-F; Adler, P. M.
- Journal of Physics A: Mathematical and General, Vol. 30, Issue 5
Pathline tracing on fully unstructured control-volume grids
journal, July 2012
- Painter, S. L.; Gable, C. W.; Kelkar, S.
- Computational Geosciences, Vol. 16, Issue 4
Influence of fracture scale heterogeneity on the flow properties of three-dimensional discrete fracture networks (DFN): 3D FRACTURE NETWORK PERMEABILITY
journal, November 2012
- de Dreuzy, J. -R.; Méheust, Y.; Pichot, G.
- Journal of Geophysical Research: Solid Earth, Vol. 117, Issue B11
Numerical simulation of solute transport in three-dimensional, randomly heterogeneous porous media
journal, October 1990
- Tompson, Andrew F. B.; Gelhar, Lynn W.
- Water Resources Research, Vol. 26, Issue 10
Impact of saturation on dispersion and mixing in porous media: Photobleaching pulse injection experiments and shear-enhanced mixing model: DISPERSION-MIXING IN MULTIPHASE SYSTEMS
journal, February 2017
- Jiménez-Martínez, Joaquín; Le Borgne, Tanguy; Tabuteau, Hervé
- Water Resources Research, Vol. 53, Issue 2
Mixing patterns in networks
journal, February 2003
- Newman, M. E. J.
- Physical Review E, Vol. 67, Issue 2