Modeling non‐Fickian transport in geological formations as a continuous time random walk

B Berkowitz, A Cortis, M Dentz… - Reviews of …, 2006 - Wiley Online Library
Non‐Fickian (or anomalous) transport of contaminants has been observed at field and
laboratory scales in a wide variety of porous and fractured geological formations. Over many …

Mixing, spreading and reaction in heterogeneous media: A brief review

M Dentz, T Le Borgne, A Englert, B Bijeljic - Journal of contaminant …, 2011 - Elsevier
Geological media exhibit heterogeneities in their hydraulic and chemical properties, which
can lead to enhanced spreading and mixing of the transported species and induce an …

Anomalous transport in “classical” soil and sand columns

A Cortis, B Berkowitz - Soil Science Society of America Journal, 2004 - Wiley Online Library
We re‐examine—in light of recent theoretical developments—classical experiments on
dispersion of a passive tracer in fully and partially saturated porous columns. We find that …

Reaction-subdiffusion equations

IM Sokolov, MGW Schmidt, F Sagués - … E—Statistical, Nonlinear, and Soft Matter …, 2006 - APS
To analyze possible generalizations of reaction-diffusion schemes for the case of
subdiffusion we discuss a simple monomolecular conversion A→ B. We derive the …

Upscaling discrete fracture network simulations: An alternative to continuum transport models

S Painter, V Cvetkovic - Water Resources Research, 2005 - Wiley Online Library
Particle tracking through stochastically generated networks of discrete fractures provides an
alternative to the conventional advection‐dispersion description of transport in fractured …

Impact of viscous fingering and permeability heterogeneity on fluid mixing in porous media

C Nicolaides, B Jha… - Water Resources …, 2015 - Wiley Online Library
Fluid mixing plays a fundamental role in many natural and engineered processes, including
groundwater flows in porous media, enhanced oil recovery, and microfluidic lab‐on‐a‐chip …

Influence of eddies on conservative solute transport through a 2D single self-affine fracture

Z Dou, Z Chen, Z Zhou, J Wang, Y Huang - International Journal of Heat …, 2018 - Elsevier
The solute transport regime is highly dependent upon the heterogeneity of the flow field. In
this study, the influence of eddies on conservative solute transport through a two …

Non‐Fickian transport through two‐dimensional rough fractures: Assessment and prediction

L Wang, MB Cardenas - Water Resources Research, 2014 - Wiley Online Library
Non‐Fickian transport ubiquitously occurs across all scales within fractured geological
media. Detailed characterization of non‐Fickian transport through single fractures is thus …

Computing “anomalous” contaminant transport in porous media: The CTRW MATLAB toolbox

A Cortis, B Berkowitz - Groundwater, 2005 - Wiley Online Library
We describe the continuous time random walk (CTRW) MATLAB toolbox, a collection of
MATLAB scripts and functions that compute breakthrough curves (BTCs) and one …

Upscaling solute transport in naturally fractured porous media with the continuous time random walk method

S Geiger, A Cortis, JT Birkholzer - Water Resources Research, 2010 - Wiley Online Library
Solute transport in fractured porous media is typically “non‐Fickian”; that is, it is
characterized by early breakthrough and long tailing and by nonlinear growth of the Green …