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Flow Channeling in Fracture Networks: Characterizing the Effect of Density on Preferential Flow Path Formation

Journal Article · · Water Resources Research
DOI:https://doi.org/10.1029/2020wr027986· OSTI ID:1813847
 [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Earth and Environmental Sciences Division, Computational Earth Science Group (EES‐16)
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.
Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE; USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
89233218CNA000001
OSTI ID:
1813847
Alternate ID(s):
OSTI ID: 1786876
Report Number(s):
LA-UR--20-23557
Journal Information:
Water Resources Research, Journal Name: Water Resources Research Journal Issue: 9 Vol. 56; ISSN 0043-1397
Publisher:
American Geophysical Union (AGU)Copyright Statement
Country of Publication:
United States
Language:
English

References (134)

Origins of anomalous transport in heterogeneous media: Structural and dynamic controls journal February 2014
Pore-scale intermittent velocity structure underpinning anomalous transport through 3-D porous media journal September 2014
Transverse mixing in three-dimensional nonstationary anisotropic heterogeneous porous media journal January 2015
Mixing in a three‐phase system: Enhanced production of oil‐wet reservoirs by CO 2 injection journal January 2016
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
Conservative transport upscaling based on information of connectivity: Transport upscaling using connectivity journal September 2016
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
Structural controls on anomalous transport in fractured porous rock: ANOMALOUS TRANSPORT IN FRACTURED POROUS ROCK journal July 2016
Connectivity, permeability, and channeling in randomly distributed and kinematically defined discrete fracture network models: PERMEABILITY OF DISCRETE FRACTURE NETWORK journal November 2016
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
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
Minimum Hydraulic Resistance and Least Resistance Path in Heterogeneous Porous Media: MINIMUM HYDRAULIC RESISTANCE journal October 2017
A model of fracture nucleation, growth and arrest, and consequences for fracture density and scaling: A DISCRETE FRACTURE NETWORK MODEL journal April 2013
Hydraulic conductivity of rock fractures journal April 1996
Laboratory testing of the voids of a fracture journal April 1989
Trends, prospects and challenges in quantifying flow and transport through fractured rocks journal February 2005
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
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
Pathline tracing on fully unstructured control-volume grids journal July 2012
Particle tracking approach for transport in three-dimensional discrete fracture networks: Particle tracking in 3-D DFNs journal September 2015
Machine learning for graph-based representations of three-dimensional discrete fracture networks journal January 2018
Upscaled discrete fracture matrix model (UDFM): an octree-refined continuum representation of fractured porous media journal December 2019
Flow in Fractured Porous Media: A Review of Conceptual Models and Discretization Approaches journal October 2018
Characterizing the Impact of Fractured Caprock Heterogeneity on Supercritical CO$$_2$$ Injection journal November 2019
On the physical meaning of the dispersion equation and its solutions for different initial and boundary conditions journal January 1978
Transverse dispersion of contaminants in fractured permeable formations journal March 1996
Aperture measurements and flow experiments on a single natural fracture journal June 1996
Dissolution of non-aqueous-phase liquids and aqueous-phase contaminant transport in discretely-fractured porous media journal June 1996
Comparison of alternative modelling approaches for groundwater flow in fractured rock journal February 2002
On the relationship between indicators of geostatistical, flow and transport connectivity journal April 2005
Perspective on theories of non-Fickian transport in heterogeneous media journal May 2009
An inverse problem methodology to identify flow channels in fractured media using synthetic steady-state head and geometrical data journal July 2010
Connectivity metrics for subsurface flow and transport journal January 2013
Modeling preasymptotic transport in flows with significant inertial and trapping effects – The importance of velocity correlations and a spatial Markov model journal August 2014
Evaluating the effect of internal aperture variability on transport in kilometer scale discrete fracture networks journal August 2016
Anomalous transport in disordered fracture networks: Spatial Markov model for dispersion with variable injection modes journal August 2017
The shale gas revolution: Barriers, sustainability, and emerging opportunities journal August 2017
dfnWorks: A discrete fracture network framework for modeling subsurface flow and transport journal November 2015
Emergence of anomalous transport in stressed rough fractures journal November 2016
The state of the art in monitoring and verification—Ten years on journal September 2015
A history of graph entropy measures journal January 2011
Assessment of preferential flow path connectivity and hydraulic properties at single-borehole and cross-borehole scales in a fractured aquifer journal August 2006
Comparison of alternative methodologies for identifying and characterizing preferential flow paths in heterogeneous aquifers journal October 2007
Groundwater flows in weathered crystalline rocks: Impact of piezometric variations and depth-dependent fracture connectivity journal April 2014
Fickian dispersion is anomalous journal December 2015
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
Entropy as a measure of centrality in networks characterized by path-transfer flow journal May 2007
Hydrodynamic dispersion in unsaturated porous media journal November 1983
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
Flow enhancement of a rough fracture journal September 2000
Scaling of fracture systems in geological media journal August 2001
Geometrical heterogeneities and permeability anisotropy of rough fractures journal February 2001
Solute transport along preferential flow paths in unsaturated fractures journal October 2001
Application of a fractional advection-dispersion equation journal February 2000
Solute transport in variable-aperture fractures: An investigation of the relative importance of Taylor dispersion and macrodispersion journal July 2000
Effects of junction transfer characteristics on transport in fracture networks journal April 2001
Hydraulic properties of two-dimensional random fracture networks following power law distributions of length and aperture: PERMEABILITY OF HETEROGENEOUS FRACTURE NETWORKS journal December 2002
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
Transport behavior of a passive solute in continuous time random walks and multirate mass transfer: TRANSPORT BEHAVIOR OF A PASSIVE SOLUTE journal May 2003
Power-law velocity distributions in fracture networks: Numerical evidence and implications for tracer transport: POWER-LAW VELOCITY DISTRIBUTIONS IN FRACTURE NETWORKS journal July 2002
Transport behavior in three-dimensional fracture intersections: TRANSPORT IN THREE-DIMENSIONAL FRACTURE INTERSECTIONS journal August 2003
Stochastic simulation of radionuclide migration in discretely fractured rock near the Äspö Hard Rock Laboratory: RETENTION IN FRACTURE NETWORKS journal February 2004
Upscaling discrete fracture network simulations: An alternative to continuum transport models: UPSCALING FRACTURE NETWORK SIMULATIONS journal February 2005
Modeling non-Fickian transport in geological formations as a continuous time random walk journal January 2006
Trapping zones: The effect of fracture roughness on the directional anisotropy of fluid flow and colloid transport in a single fracture journal January 2006
Navier-Stokes flow and transport simulations using real fractures shows heavy tailing due to eddies journal January 2007
Effects of simplifying fracture network representation on inert chemical migration in fracture-controlled aquifers: EFFECTS OF FRACTURE NETWORK SIMPLIFICATION journal January 2009
A likely universal model of fracture scaling and its consequence for crustal hydromechanics journal January 2010
Inference of field-scale fracture transmissivities in crystalline rock using flow log measurements: TRANSMISSIVITY INFERENCE FROM FLOW LOGS journal November 2010
Spatial connectivity in a highly heterogeneous aquifer: From cores to preferential flow paths: SPATIAL CONNECTIVITY IN A HETEROGENEOUS AQUIFER journal May 2011
Influence of fracture scale heterogeneity on the flow properties of three-dimensional discrete fracture networks (DFN): 3D FRACTURE NETWORK PERMEABILITY journal November 2012
Efficient Monte Carlo With Graph‐Based Subsurface Flow and Transport Models journal May 2018
Linking Structural and Transport Properties in Three‐Dimensional Fracture Networks journal February 2019
Dispersion and Mixing in Three‐Dimensional Discrete Fracture Networks: Nonlinear Interplay Between Structural and Hydraulic Heterogeneity journal May 2018
Saturation Dependence of Non‐Fickian Transport in Porous Media journal February 2019
Advective Transport in Discrete Fracture Networks With Connected and Disconnected Textures Representing Internal Aperture Variability journal July 2019
Matrix Diffusion in Fractured Media: New Insights Into Power Law Scaling of Breakthrough Curves journal December 2019
Characterizing the Influence of Fracture Density on Network Scale Transport journal January 2020
Permeability of Three‐Dimensional Numerically Grown Geomechanical Discrete Fracture Networks With Evolving Geometry and Mechanical Apertures journal April 2020
Multilevel Monte Carlo Predictions of First Passage Times in Three‐Dimensional Discrete Fracture Networks: A Graph‐Based Approach journal June 2020
Homogenization of Dissolution and Enhanced Precipitation Induced by Bubbles in Multiphase Flow Systems journal April 2020
Stress Effects on Flow and Transport in Three‐Dimensional Fracture Networks journal August 2020
A Large-Scale Flow and Tracer Experiment in Granite: 2. Results and Interpretation journal December 1991
Percolation theory and its application to groundwater hydrology journal April 1993
Channeling and Fickian Dispersion in fractal simulated porous media journal December 1993
Flow channeling in strongly heterogeneous porous media: A numerical study journal May 1994
Localization and fault growth in layered brittle-ductile systems: Implications for deformations of the continental lithosphere journal April 1995
Mass transfer at fracture intersections: An evaluation of mixing models journal June 1994
Susceptibility of soils to preferential flow of water: A field study journal July 1994
Connectivity of random fault networks following a power law fault length distribution journal July 1997
A lattice-gas and lattice Boltzmann study of mixing at continuous fracture Junctions: Importance of boundary conditions journal June 1997
Flow channeling in heterogeneous fractured rocks journal May 1998
Solute channeling in unsaturated heterogeneous porous media journal October 1997
On the connectivity of three-dimensional fault networks journal October 1998
Major carbon 14 anomaly in a regional carbonate aquifer: Possible evidence for megascale channeling, South Central Great Basin journal December 1976
Radionuclide Transport in Fast Channels in Crystalline Rock journal August 1986
Flow channeling in a single fracture as a two-dimensional strongly heterogeneous permeable medium journal September 1989
Numerical simulation of solute transport in three-dimensional, randomly heterogeneous porous media journal October 1990
Dispersion in three-dimensional fracture networks journal March 2001
Simulation of the von mises fisher distribution journal January 1994
Localization of normal modes in vitreous silica, germania and beryllium fluoride journal October 1970
Numerical studies of localization in disordered systems journal April 1972
Geometry and topology of fracture systems journal March 1997
Understanding hydraulic fracturing: a multi-scale problem
  • 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 https://doi.org/10.1098/rsta.2015.0426
journal October 2016
Hopping Conductivity in Disordered Systems journal October 1971
Percolation parameter and percolation-threshold estimates for three-dimensional random ellipses with widely scattered distributions of eccentricity and size journal November 2000
Mixing patterns in networks journal February 2003
Effective permeability of fractured porous media with power-law distribution of fracture sizes journal September 2007
Heterogeneities of flow in stochastically generated porous media journal November 2012
Hyperbolic regions in flows through three-dimensional pore structures journal December 2013
Anomalous transport on regular fracture networks: Impact of conductivity heterogeneity and mixing at fracture intersections journal August 2015
Predictions of first passage times in sparse discrete fracture networks using graph-based reductions journal July 2017
Eigenvector centrality for geometric and topological characterization of porous media journal July 2017
Characterizing the impact of particle behavior at fracture intersections in three-dimensional discrete fracture networks journal January 2019
Continuous time random walks for the evolution of Lagrangian velocities journal November 2016
Lagrangian Statistical Model for Transport in Highly Heterogeneous Velocity Fields journal August 2008
Spatial Markov Model of Anomalous Transport Through Random Lattice Networks journal October 2011
Spatial Fluctuations of Fluid Velocities in Flow through a Three-Dimensional Porous Medium journal August 2013
Emergence of Stable Laws for First Passage Times in Three-Dimensional Random Fracture Networks journal December 2019
Classical Transport in Disordered Media: Scaling and Effective-Medium Theories journal December 1971
Anomalous Transport in Random Fracture Networks journal November 1997
Inertial Effects on Fluid Flow through Disordered Porous Media journal June 1999
Assortative Mixing in Networks journal October 2002
Entropy and Distance of Random Graphs with Application to Structural Pattern Recognition journal September 1985
A Threshold Selection Method from Gray-Level Histograms journal January 1979
Analysis and Visualization of Discrete Fracture Networks Using a Flow Topology Graph journal August 2017
The Behavior of Dense, Nonaqueous Phase Liquids in Fractured Clay and Rock journal September 1991
Conforming Delaunay Triangulation of Stochastically Generated Three Dimensional Discrete Fracture Networks: A Feature Rejection Algorithm for Meshing Strategy journal January 2014
Identifying Backbones in Three-Dimensional Discrete Fracture Networks: A Bipartite Graph-Based Approach journal January 2018
A Probabilistic Clustering Approach for Identifying Primary Subnetworks of Discrete Fracture Networks with Quantified Uncertainty journal January 2020
PFLOTRAN User Manual: A Massively Parallel Reactive Flow and Transport Model for Describing Surface and Subsurface Processes report January 2015
Topology of fracture networks journal January 2013
Topological impact of constrained fracture growth journal September 2015
A Discrete Fracture Network Model With Stress-Driven Nucleation: Impact on Clustering, Connectivity, and Topology journal January 2020

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