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 …

[图书][B] Applied stochastic hydrogeology

Y Rubin - 2003 - books.google.com
Stochastic Subsurface Hydrogeology is the study of subsurface, geological heterogeneity,
and its effects on flow and transport process, using probabilistic and geostatistical concepts …

Time behavior of solute transport in heterogeneous media: transition from anomalous to normal transport

M Dentz, A Cortis, H Scher, B Berkowitz - Advances in Water Resources, 2004 - Elsevier
We study the time behavior of solute transport in a heterogeneous medium. We consider a
spatially biased continuous time random walk (CTRW) governed by ψ (s, t), the joint …

Mixing in porous media: concepts and approaches across scales

M Dentz, JJ Hidalgo, D Lester - Transport in Porous Media, 2023 - Springer
This review provides an overview of concepts and approaches for the quantification of
passive, non-reactive solute mixing in steady uniform porous media flows across scales …

Reactive transport: a review of basic concepts with emphasis on biochemical processes

J Carrera, MW Saaltink, J Soler-Sagarra, J Wang… - Energies, 2022 - mdpi.com
Reactive transport (RT) couples bio-geo-chemical reactions and transport. RT is important to
understand numerous scientific questions and solve some engineering problems. RT is …

Enhancement of dilution and transverse reactive mixing in porous media: Experiments and model-based interpretation

M Rolle, C Eberhardt, G Chiogna, OA Cirpka… - Journal of contaminant …, 2009 - Elsevier
Transport and natural attenuation of contaminant plumes in groundwater are often controlled
by transverse dispersion. The extent of mixing between dissolved reaction partners at the …

Non-Fickian mixing: Temporal evolution of the scalar dissipation rate in heterogeneous porous media

T Le Borgne, M Dentz, D Bolster, J Carrera… - Advances in Water …, 2010 - Elsevier
We investigate the temporal scaling properties of mixing in heterogeneous permeability
fields with variances ranging from very small (σlnK2= 0.01) to very large (σlnK2= 9). We …

Mixing-limited reactions in porous media

AJ Valocchi, D Bolster, CJ Werth - Transport in Porous Media, 2019 - Springer
Mixing-driven reactions in porous media are ubiquitous and span natural and engineered
environments, yet predicting where and how quickly reactions occur is immensely …

The lamellar description of mixing in porous media

T Le Borgne, M Dentz, E Villermaux - Journal of Fluid Mechanics, 2015 - cambridge.org
We develop a general framework for modelling mixing in porous media flows, in which the
scalar mixture is represented as an ensemble of lamellae evolving through stretching …