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 …

Lattice Boltzmann method for non-Newtonian (power-law) fluids

S Gabbanelli, G Drazer, J Koplik - … Review E—Statistical, Nonlinear, and Soft …, 2005 - APS
We study an ad hoc extension of the lattice Boltzmann method that allows the simulation of
non-Newtonian fluids described by generalized Newtonian models. We extensively test the …

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 …

Map of fluid flow in fractal porous medium into fractal continuum flow

AS Balankin, BE Elizarraraz - Physical Review E—Statistical, Nonlinear, and …, 2012 - APS
This paper is devoted to fractal continuum hydrodynamics and its application to model fluid
flows in fractally permeable reservoirs. Hydrodynamics of fractal continuum flow is …

Validity of the permeability Carman–Kozeny equation: a volume averaging approach

FJ Valdes-Parada, JA Ochoa-Tapia… - Physica A: Statistical …, 2009 - Elsevier
A volume averaging approach is used to estimate the porous media permeability. Contrary
to traditional methods that rely on solving the Navier–Stokes equations for laminar flow, this …

Scale and size effects on fluid flow through self-affine rough fractures

Y Jin, J Dong, X Zhang, X Li, Y Wu - International Journal of Heat and Mass …, 2017 - Elsevier
A permeability estimation of a single rough fracture remains challenging and has attracted
broad attention because of its fundamental importance. This study examines the effects of …

The effect of fracture roughness on the onset of nonlinear flow

D Cunningham, H Auradou… - Water Resources …, 2020 - Wiley Online Library
In fractures where surface fluctuations are large compared to their aperture (narrow
fractures), the flow is forced to move in tortuous paths that produce additional viscous friction …

Permeability anisotropy induced by the shear displacement of rough fracture walls

H Auradou, G Drazer, JP Hulin… - Water Resources …, 2005 - Wiley Online Library
The permeability anisotropy that results from a shear displacement between the
complementary self‐affine walls of a rough fracture is investigated. Experiments in which a …

Flow channeling in a single fracture induced by shear displacement

H Auradou, G Drazer, A Boschan, JP Hulin, J Koplik - Geothermics, 2006 - Elsevier
The effect on the transport properties of a fracture of a shear displacement u→ between its
complementary surfaces is investigated experimentally and numerically. The shear …

Influence of wall roughness on the geometrical, mechanical and transport properties of single fractures

H Auradou - Journal of Physics D: Applied Physics, 2009 - iopscience.iop.org
This paper reviews the main features of the transport properties of single fractures. Particular
attention is paid to fractures in geological materials which often display a roughness …