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International Journal for Numerical and Analytical Methods in Geomechanics 35, 14 (2010) 1536-1559
Two-scale modeling of solute dispersion in unsaturated double-porosity media: Homogenization and experimental validation
Tien Dung Tran Ngoc 1, Jolanta Lewandowska 2, Michel Vauclin 3, H. Bertin 4
GDR 'Hydrodynamique et Transferts dans les Hydrosystèmes Souterrains' Collaboration(s)
(03/10/2010)

A two-scale modeling of solute transport in double-porosity (DP) media under unsaturated water flow conditions is presented. The macroscopic model was developed by applying the asymptotic homogenization method. It is based on theoretical and empirical considerations dealing with the orders of magnitude of characteristic quantities involved in the process. For this purpose a physical model that mimics the behavior of DP medium was built. The resulting two-equation model relies on a coupling exchange term between micro- and macro-porosity subdomains associated with local non-equilibrium solute concentrations. The model was numerically implemented (Comsol Multiphysics®) to simulate the macroscopic one-dimensional physical process taking place into the porous medium of 3D periodic microstructure. A series of dispersion experiments of NaCl solution under unsaturated steady-state flow conditions were performed. The experimental results were used first to calibrate the dispersion coefficient of the model, and second to validate it through two other independent experiments. The excellent agreement between the numerical simulations and the measurements of the time evolution of the non-symmetrical breakthrough curves provides a proof of predictive capacity of the developed model. Copyright © 2010 John Wiley & Sons, Ltd.
1 :  Bureau de recherches géologiques et minières (BRGM)
Bureau de Recherches Géologiques et Minières (BRGM)
2 :  Laboratoire de mécanique et génie civil (LMGC)
CNRS : UMR5508 – Université Montpellier II - Sciences et techniques
3 :  Laboratoire d'étude des transferts en hydrologie et environnement (LTHE)
CNRS : UMR5564 – OSUG – INSU – Université Joseph Fourier - Grenoble I – Institut National Polytechnique de Grenoble (INPG) – Institut de recherche pour le développement [IRD] : UR012
4 :  Laboratoire TRansferts
Université de Bordeaux
Couplages en Géomécanique et Biomécanique
TRANSPORE
Planète et Univers/Sciences de la Terre/Hydrologie

Sciences de l'environnement/Milieux et Changements globaux
unsaturated double-porosity – media – homogenization – dispersion – local non-equilibrium transport – experiments – two-scale computations