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Title: Linking structural and transport properties in three-dimensional fracture networks

Journal Article · · Journal of Geophysical Research. Solid Earth

Here, we investigate large scale particle motion and solute breakthrough in sparse three-dimensional discrete fracture networks (DFN) characterized by power-law distributed fracture lengths. The three networks we consider have the same fracture intensity values but exhibit different percolation densities, geometric properties and topological structures. We considered two different average transport models to predict solute breakthrough, a streamtube model and a Bernoulli CTRW model, both of which provide insights into the flow fields within the networks. The streamtube model provides acceptable predictions at short distances in two of the networks, but fails in all cases to predict breakthrough times at the outlet plane, which indicates that particle motion in such fracture networks cannot be characterized by a constant velocity between the inlet and control plane at which the breakthrough curve is detected. Rather the structure of the network requires that frequent velocity transitions be made as particles move through the system. Despite the relatively broad distribution of fracture radii and relatively small number of independent velocity transitions, the CTRW approach conditioned on the initial velocity distribution provides reasonable predictions for the breakthrough curves at different distances from the inlet. The application of these averaged transport models provides a richer understanding of the link from the fracture network structure to ow and transport properties.

Research Organization:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE; USDOE Laboratory Directed Research and Development (LDRD) Program
Grant/Contract Number:
89233218CNA000001
OSTI ID:
1492671
Report Number(s):
LA-UR--18-27717
Journal Information:
Journal of Geophysical Research. Solid Earth, Journal Name: Journal of Geophysical Research. Solid Earth Journal Issue: 2 Vol. 124; ISSN 2169-9313
Publisher:
American Geophysical UnionCopyright Statement
Country of Publication:
United States
Language:
English

References (109)

Permeability tensor of three-dimensional fractured porous rock and a comparison to trace map predictions journal August 2014
Impact of velocity correlation and distribution on transport in fractured media: Field evidence and theoretical model journal February 2015
Effect of advective flow in fractures and matrix diffusion on natural gas production journal October 2015
Impact of a stochastic sequential initiation of fractures on the spatial correlations and connectivity of discrete fracture networks: STOCHASTIC SEQUENTIAL DFN SIMULATION journal August 2016
The impact of different aperture distribution models and critical stress criteria on equivalent permeability in fractured rocks: THE IMPACT OF FRACTURE APERTURE ON FLOW journal May 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
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
A spatial Markov model for the evolution of the joint distribution of groundwater age, arrival time, and velocity in heterogeneous media: AGE DISTRIBUTION IN CORRELATED VELOCITY journal July 2017
A model of fracture nucleation, growth and arrest, and consequences for fracture density and scaling: A DISCRETE FRACTURE NETWORK MODEL journal April 2013
A note on two problems in connexion with graphs journal December 1959
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
Random Walk Methods for Modeling Hydrodynamic Transport in Porous and Fractured Media from Pore to Reservoir Scale journal April 2016
Modeling of Solute Transport in a 3D Rough-Walled Fracture–Matrix System journal January 2017
On the physical meaning of the dispersion equation and its solutions for different initial and boundary conditions journal January 1978
Applications of percolation theory journal February 1995
The Grimsel (Switzerland) migration experiment: integrating field experiments, laboratory investigations and modelling journal February 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
Significance of injection modes and heterogeneity on spatial and temporal dispersion of advecting particles in two-dimensional discrete fracture networks journal May 2009
Perspective on theories of non-Fickian transport in heterogeneous media journal May 2009
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
Shale gas and non-aqueous fracturing fluids: Opportunities and challenges for supercritical CO2 journal June 2015
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
Power law breakthrough curve tailing in a fracture: The role of advection journal June 2015
Effect of fracture aperture variations on the dispersion of contaminants journal January 1999
Scaling of fracture systems in geological media journal August 2001
Derivation of equivalent pipe network analogues for three-dimensional discrete fracture networks by the boundary element method journal September 1999
An advective-dispersive stream tube approach for the transfer of conservative-tracer data to reactive transport journal May 2000
Application of a fractional advection-dispersion equation journal February 2000
The fractional-order governing equation of Lévy Motion journal February 2000
Tracer transport in fractured crystalline rock: Evidence of nondiffusive breakthrough tailing journal July 2000
Hydraulic properties of two-dimensional random fracture networks following power law distributions of length and aperture: PERMEABILITY OF HETEROGENEOUS FRACTURE NETWORKS journal December 2002
Interpreting tracer breakthrough tailing from different forced-gradient tracer experiment configurations in fractured bedrock: TRACER EXPERIMENTS IN FRACTURED BEDROCK journal January 2003
Hydraulic properties of two-dimensional random fracture networks following a power law length distribution: 2. Permeability of networks based on lognormal distribution of apertures journal August 2001
Power-law velocity distributions in fracture networks: Numerical evidence and implications for tracer transport: POWER-LAW VELOCITY DISTRIBUTIONS IN FRACTURE NETWORKS journal July 2002
Anomalous transport in heterogeneous media demonstrated by streamline-based simulation: ANOMALOUS TRANSPORT journal June 2003
Modeling conservative tracer transport in fracture networks with a hybrid approach based on the Boltzmann transport equation: HYBRID MODEL FOR TRANSPORT IN FRACTURES journal November 2003
Influence of spatial correlation of fracture centers on the permeability of two-dimensional fracture networks following a power law length distribution: FRACTURE CORRELATION AND PERMEABILITY journal January 2004
Fluid flow and mixing in rough-walled fracture intersections: MIXING IN FRACTURE INTERSECTIONS journal December 2006
Modeling non-Fickian transport in geological formations as a continuous time random walk journal January 2006
Navier-Stokes flow and transport simulations using real fractures shows heavy tailing due to eddies journal January 2007
Non-Fickian dispersion in porous media: 1. Multiscale measurements using single-well injection withdrawal tracer tests: NON-FICKIAN DISPERSION IN POROUS MEDIA, 1 journal June 2008
Effects of simplifying fracture network representation on inert chemical migration in fracture-controlled aquifers: EFFECTS OF FRACTURE NETWORK SIMPLIFICATION journal January 2009
Effects of inertia and directionality on flow and transport in a rough asymmetric fracture journal January 2009
Inference of field-scale fracture transmissivities in crystalline rock using flow log measurements: TRANSMISSIVITY INFERENCE FROM FLOW LOGS journal November 2010
Numerical and analytical modeling of advective travel times in realistic three-dimensional fracture networks: MODELING OF ADVECTIVE TRAVEL TIMES journal February 2011
Influence of fracture scale heterogeneity on the flow properties of three-dimensional discrete fracture networks (DFN): 3D FRACTURE NETWORK PERMEABILITY journal November 2012
Dispersion and Mixing in Three‐Dimensional Discrete Fracture Networks: Nonlinear Interplay Between Structural and Hydraulic Heterogeneity journal May 2018
A Large-Scale Flow and Tracer Experiment in Granite: 2. Results and Interpretation journal December 1991
A variable aperture fracture network model for flow and transport in fractured rocks journal June 1992
Percolation theory and its application to groundwater hydrology journal April 1993
Prediction of single phase transport parameters in a variable aperture fracture journal June 1995
Stochastic-Convective Transport with Nonlinear Reaction: Biodegradation With Microbial Growth journal November 1995
Multiple-Rate Mass Transfer for Modeling Diffusion and Surface Reactions in Media with Pore-Scale Heterogeneity journal June 1995
Connectivity of random fault networks following a power law fault length distribution journal July 1997
On the connectivity of three-dimensional fault networks journal October 1998
Validity of Cubic Law for fluid flow in a deformable rock fracture journal December 1980
Porous media equivalents for networks of discontinuous fractures journal June 1982
Radionuclide Transport in Fast Channels in Crystalline Rock journal August 1986
Conditional simulations of fluid flow in three-dimensional networks of discrete fractures journal October 1987
Scaling of contact networks for epidemic spreading in urban transit systems journal February 2021
Dispersion in three-dimensional fracture networks journal March 2001
Geometry and topology of fracture systems journal March 1997
The tempered one-sided stable density: a universal model for hydrological transport? journal July 2011
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
Tortuous flow in porous media journal July 1996
Permeability of three-dimensional fracture networks journal April 1998
Theory of anomalous chemical transport in random fracture networks journal May 1998
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
Macroscopic permeability of three-dimensional fracture networks with power-law size distribution journal June 2004
Percolation of three-dimensional fracture networks with power-law size distribution journal September 2005
Effective permeability of fractured porous media with power-law distribution of fracture sizes journal September 2007
Spatial Markov processes for modeling Lagrangian particle dynamics in heterogeneous porous media journal August 2008
Percolation and permeability of networks of heterogeneous fractures journal March 2009
Permeability of isotropic and anisotropic fracture networks, from the percolation threshold to very large densities journal September 2011
Predictions of first passage times in sparse discrete fracture networks using graph-based reductions journal July 2017
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
Anomalous Transport in Random Fracture Networks journal November 1997
Assortative Mixing in Networks journal October 2002
Statistical mechanics of complex networks journal January 2002
The Behavior of Dense, Nonaqueous Phase Liquids in Fractured Clay and Rock journal September 1991
Emergence of Scaling in Random Networks journal October 1999
Flow Simulation in Three-Dimensional Discrete Fracture Networks journal January 2009
Conforming Delaunay Triangulation of Stochastically Generated Three Dimensional Discrete Fracture Networks: A Feature Rejection Algorithm for Meshing Strategy journal January 2014
A Parallel Solver for Large Scale DFN Flow Simulations journal January 2015
Identifying Backbones in Three-Dimensional Discrete Fracture Networks: A Bipartite Graph-Based Approach journal January 2018
Anomalous dispersion in correlated porous media: a coupled continuous time random walk approach journal September 2017
Applications of Percolation Theory journal December 1995
Solute Dispersion in Unsaturated Heterogeneous Soil at Field Scale: I. Theory1 journal January 1979
PFLOTRAN User Manual: A Massively Parallel Reactive Flow and Transport Model for Describing Surface and Subsurface Processes report January 2015
The state of the art in monitoring and verification—Ten years on text January 2015
Topology of fracture networks journal January 2013
Topological impact of constrained fracture growth journal September 2015
Anomalous transport in disordered fracture networks: spatial Markov model for dispersion with variable injection modes text January 2017
Machine learning for graph-based representations of three-dimensional discrete fracture networks text January 2017
Anomalous dispersion in correlated porous media: A coupled continuous time random walk approach text January 2017

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