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 …

Flow Intermittency, Dispersion, and Correlated Continuous Time Random<? format?> Walks in Porous Media

P De Anna, T Le Borgne, M Dentz, AM Tartakovsky… - Physical review …, 2013 - APS
We study the intermittency of fluid velocities in porous media and its relation to anomalous
dispersion. Lagrangian velocities measured at equidistant points along streamlines are …

Mesoscale and hybrid models of fluid flow and solute transport

Y Mehmani, MT Balhoff - Reviews in Mineralogy and …, 2015 - pubs.geoscienceworld.org
Fluid flow and reactive transport is relevan t to many subsurface applications including CO2
sequestration, miscible/immiscible displacements in enhanced oil recovery, wellbore …

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 …

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 …

Stretching, coalescence, and mixing in porous media

T Le Borgne, M Dentz, E Villermaux - Physical review letters, 2013 - APS
We study scalar mixing in heterogeneous conductivity fields, whose structural disorder
varies from weak to strong. A range of stretching regimes is observed, depending on the …

On breakdown of macroscopic models of mixing-controlled heterogeneous reactions in porous media

I Battiato, DM Tartakovsky, AM Tartakovsky… - Advances in water …, 2009 - Elsevier
Reactive transport in porous media is a complex nonlinear phenomenon that involves both
homogeneous (bio-) chemical reactions between species dissolved in a fluid and …

Hybrid models of reactive transport in porous and fractured media

I Battiato, DM Tartakovsky, AM Tartakovsky… - Advances in Water …, 2011 - Elsevier
Darcy-scale models of flow and transport in porous media often fail to describe
experimentally observed phenomena, while their pore-scale counterparts are accurate but …

Pore-scale simulation of fluid flow and solute dispersion in three-dimensional porous media

M Icardi, G Boccardo, DL Marchisio, T Tosco, R Sethi - Physical review E, 2014 - APS
In the present work fluid flow and solute transport through porous media are described by
solving the governing equations at the pore scale with finite-volume discretization. Instead of …

Deep learning for diffusion in porous media

KM Graczyk, D Strzelczyk, M Matyka - Scientific Reports, 2023 - nature.com
We adopt convolutional neural networks (CNN) to predict the basic properties of the porous
media. Two different media types are considered: one mimics the sand packings, and the …