DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Impact of artificial topological changes on flow and transport through fractured media due to mesh resolution

Journal Article · · Computational Geosciences

Abstract We performed a set of numerical simulations to characterize the interplay of fracture network topology, upscaling, and mesh refinement on flow and transport properties in fractured porous media. We generated a set of generic three-dimensional discrete fracture networks at various densities, where the radii of the fractures were sampled from a truncated power-law distribution, and whose parameters were loosely based on field site characterizations. We also considered five network densities, which were defined using a dimensionless version of density based on percolation theory. Once the networks were generated, we upscaled them into a single continuum model using the upscaled discrete fracture matrix model presented by Sweeney et al. (2019). We considered steady, isothermal pressure-driven flow through each domain and then simulated conservative, decaying, and adsorbing tracers using a pulse injection into the domain. For each simulation, we calculated the effective permeability and solute breakthrough curves as quantities of interest to compare between network realizations. We found that selecting a mesh resolution such that the global topology of the upscaled mesh matches the fracture network is essential. If the upscaled mesh has a connected pathway of fracture (higher permeability) cells but the fracture network does not, then the estimates for effective permeability and solute breakthrough will be incorrect. False connections cannot be eliminated entirely, but they can be managed by choosing appropriate mesh resolution and refinement for a given network. Adopting octree meshing to obtain sufficient levels of refinement leads to fewer computational cells (up to a 90% reduction in overall cell count) when compared to using a uniform resolution grid and can result in a more accurate continuum representation of the true fracture network.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Basic Energy Sciences (BES); USDOE Office of Science (SC), Nuclear Physics (NP)
Grant/Contract Number:
89233218CNA000001; NA0003525
OSTI ID:
2067631
Report Number(s):
LA-UR--23-20307; PII: 10253
Journal Information:
Computational Geosciences, Journal Name: Computational Geosciences Journal Issue: 6 Vol. 27; ISSN 1420-0597
Publisher:
Springer Science + Business MediaCopyright Statement
Country of Publication:
Netherlands
Language:
English

References (51)

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
A model of fracture nucleation, growth and arrest, and consequences for fracture density and scaling: A DISCRETE FRACTURE NETWORK MODEL journal April 2013
A Reduced Model for Flow and Transport in Fractured Porous Media with Non-matching Grids book November 2012
Trends, prospects and challenges in quantifying flow and transport through fractured rocks journal February 2005
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
Dimensionally reduced flow models in fractured porous media: crossings and boundaries journal October 2015
Interior boundary-aligned unstructured grid generation and cell-centered versus vertex-centered CVD-MPFA performance journal October 2017
A Lagrange multiplier method for a discrete fracture model for flow in porous media journal September 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
Advanced computation of steady-state fluid flow in Discrete Fracture-Matrix models: FEM–BEM and VEM–VEM fracture-block coupling journal July 2018
Dissolution of non-aqueous-phase liquids and aqueous-phase contaminant transport in discretely-fractured porous media journal June 1996
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
A simple embedded discrete fracture–matrix model for a coupled flow and transport problem in porous media journal January 2019
The state of the art in monitoring and verification—Ten years on journal September 2015
Field-scale effective matrix diffusion coefficient for fractured rock: Results from literature survey journal August 2007
An efficient multi-point flux approximation method for Discrete Fracture–Matrix simulations journal May 2012
Control-volume distributed multi-point flux approximation coupled with a lower-dimensional fracture model journal March 2015
Three-dimensional control-volume distributed multi-point flux approximation coupled with a lower-dimensional surface fracture model journal December 2015
Flow and transport in three-dimensional discrete fracture matrix models using mimetic finite difference on a conforming multi-dimensional mesh journal October 2022
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
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
Scaling of fracture systems in geological media journal August 2001
Self-consistency of a heterogeneous continuum porous medium representation of a fractured medium journal January 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
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
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
Matrix Diffusion in Fractured Media: New Insights Into Power Law Scaling of Breakthrough Curves journal December 2019
Permeability of Three‐Dimensional Numerically Grown Geomechanical Discrete Fracture Networks With Evolving Geometry and Mechanical Apertures journal April 2020
From Fluid Flow to Coupled Processes in Fractured Rock: Recent Advances and New Frontiers journal February 2022
Percolation theory and its application to groundwater hydrology journal April 1993
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
Mimetic finite difference approximation of flows in fractured porous media journal May 2016
Simulation of the von mises fisher distribution journal January 1994
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
Effective permeability of fractured porous media with power-law distribution of fracture sizes journal September 2007
Predictions of first passage times in sparse discrete fracture networks using graph-based reductions journal July 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
Robust Discretization of Flow in Fractured Porous Media journal January 2018
Identifying Backbones in Three-Dimensional Discrete Fracture Networks: A Bipartite Graph-Based Approach journal January 2018
Mixed-Dimensional Geometric Multigrid Methods for Single-Phase Flow in Fractured Porous Media journal January 2019
Applications Of Percolation Theory reference-book January 2014
A Discrete Fracture Network Model With Stress-Driven Nucleation: Impact on Clustering, Connectivity, and Topology journal January 2020
Investigating the effects of intersection flow localization in equivalent-continuum-based upscaling of flow in discrete fracture networks journal October 2021