[HTML][HTML] 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 …

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 …

Parameter estimation by ensemble Kalman filters with transformed data: Approach and application to hydraulic tomography

A Schöniger, W Nowak… - Water Resources …, 2012 - Wiley Online Library
Ensemble Kalman filters (EnKFs) are a successful tool for estimating state variables in
atmospheric and oceanic sciences. Recent research has prepared the EnKF for parameter …

[HTML][HTML] Assessment and management of risk in subsurface hydrology: A review and perspective

DM Tartakovsky - Advances in Water Resources, 2013 - Elsevier
Uncertainty plagues every effort to model subsurface processes and every decision made
on the basis of such models. Given this pervasive uncertainty, virtually all practical problems …

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 …

Transverse mixing in three‐dimensional nonstationary anisotropic heterogeneous porous media

OA Cirpka, G Chiogna, M Rolle… - Water Resources …, 2015 - Wiley Online Library
Groundwater plumes originating from continuously emitting sources are typically controlled
by transverse mixing between the plume and reactants in the ambient solution. In two …

Stochastic flux‐related analysis of transverse mixing in two‐dimensional heterogeneous porous media

OA Cirpka, FPJ de Barros, G Chiogna… - Water Resources …, 2011 - Wiley Online Library
Transverse mixing of solutes in steady state transport is of utmost importance for assessing
mixing‐controlled reactions of compounds that are continuously introduced into the …

Parameter estimation for fractional transport: A particle‐tracking approach

P Chakraborty, MM Meerschaert… - Water resources …, 2009 - Wiley Online Library
Space‐fractional advection‐dispersion models provide attractive alternatives to the classical
advection‐dispersion equation for model applications that exhibit early arrivals and plume …

[HTML][HTML] Optimal reconstruction of concentrations, gradients and reaction rates from particle distributions

D Fernàndez-Garcia, X Sánchez-Vila - Journal of contaminant hydrology, 2011 - Elsevier
Random walk particle tracking methodologies to simulate solute transport of conservative
species constitute an attractive alternative for their computational efficiency and absence of …

[HTML][HTML] Impact of hydrogeological data on measures of uncertainty, site characterization and environmental performance metrics

FPJ de Barros, S Ezzedine, Y Rubin - Advances in Water Resources, 2012 - Elsevier
The significance of conditioning predictions of environmental performance metrics (EPMs)
on hydrogeological data in heterogeneous porous media is addressed. Conditioning EPMs …