Development and application of three-dimensional discrete fracture network modeling approach for fluid flow in fractured rock masses

N Huang, R Liu, Y Jiang, Y Cheng - Journal of Natural Gas Science and …, 2021 - Elsevier
Rock fractures are crucial conduits for fluid flow in fractured rock masses. Three-dimensional
(3D) discrete fracture network (DFN) modeling approach, which can explicitly characterize …

Recent developments on relationships between the equivalent permeability and fractal dimension of two-dimensional rock fracture networks

R Liu, L Yu, Y Jiang, Y Wang, B Li - Journal of Natural Gas Science and …, 2017 - Elsevier
Over the last 30 years, discrete fracture network (DFN) modeling has been increasingly
utilized in various practical applications in geoengineering and geosciences. The geometric …

Mathematical expressions for estimating equivalent permeability of rock fracture networks

R Liu, B Li, Y Jiang, N Huang - Hydrogeology Journal, 2016 - search.proquest.com
Fracture networks play a more significant role in conducting fluid flow and solute transport in
fractured rock masses, comparing with that of the rock matrix. Accurate estimation of the …

A hybrid mortar virtual element method for discrete fracture network simulations

MF Benedetto, S Berrone, A Borio, S Pieraccini… - Journal of …, 2016 - Elsevier
The most challenging issue in performing underground flow simulations in Discrete Fracture
Networks (DFN) is to effectively tackle the geometrical difficulties of the problem. In this work …

Ill‐conditioning in the virtual element method: Stabilizations and bases

L Mascotto - Numerical Methods for Partial Differential …, 2018 - Wiley Online Library
In this article, we investigate the behavior of the condition number of the stiffness matrix
resulting from the approximation of a 2D Poisson problem by means of the virtual element …

Order preserving SUPG stabilization for the virtual element formulation of advection–diffusion problems

MF Benedetto, S Berrone, A Borio, S Pieraccini… - Computer Methods in …, 2016 - Elsevier
In the framework of the discretization of advection–diffusion problems by means of the
Virtual Element Method, we consider stabilization issues. Herein, stabilization is pursued by …

Mimetic finite difference approximation of flows in fractured porous media

PF Antonietti, L Formaggia, A Scotti… - ESAIM: Mathematical …, 2016 - esaim-m2an.org
We present a possible framework for the numerical simulation of flow in fractured porous
media that couples mimetic finite differences for the porous matrix with a finite volume …

A computational framework for brittle crack-propagation based on efficient virtual element method

A Hussein, F Aldakheel, B Hudobivnik… - Finite elements in …, 2019 - Elsevier
An efficient low order virtual element method (VEM) for crack-propagation in elastic solids at
small strains is outlined within this work. The recently developed VEM is a competitive …

Discontinuous Galerkin approximation of flows in fractured porous media on polytopic grids

PF Antonietti, C Facciola, A Russo, M Verani - SIAM Journal on Scientific …, 2019 - SIAM
We present a numerical approximation of Darcy's flow through a fractured porous medium
which employs discontinuous Galerkin methods on polytopic grids. For simplicity, we …

Conforming, non-conforming and non-matching discretization couplings in discrete fracture network simulations

A Fumagalli, E Keilegavlen, S Scialò - Journal of Computational Physics, 2019 - Elsevier
Simulations of fluid flow in naturally fractured rocks have implications for several subsurface
applications, including energy storage and extraction, and waste disposal. We are interested …