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Journal of Environmental Hydrology
ISSN 1058-3912 |
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Electronic Journal of the International Association for
Environmental Hydrology
JEH Volume 15 (2007), Paper 4 Posted February 25, 2007 SOLUTE TRANSPORT IN A DUAL POROSITY MEDIUM AND SCALE EFFECT OF DISPERSIVITY: PROPOSAL FOR A PROBABILISTIC EQUATION
Erick Carlier ABSTRACT The probabilistic approach is used to simulate particle tracking in a dual porosity medium made of chalk granules with both intergranular and intragranular porosities. Dissolved solutes move by advection-dispersion in the intergranular pore space and may diffuse into intergranular pore space where the advective flux is negligible. It is shown that the particle tracking in the chalky medium is a nonmarkovian process, i.e. that the future position of a particle depends on its former positions. The probability density function of the position of the particle depends on a power of the distance. Using Einstein’s rule for the dispersion coefficient, it is shown that the dispersivity exhibits a scale effect according to Mercado’s result, i.e. a ballistic dispersion. Experiments by dye tracer tests on a column have been performed for different distances and discharges. The computed results are in good agreement with the experimental data. Reference: Carlier, E. 2007. Solute transport in a dual porosity medium and scale effect of dispersivity: Proposal for a probabilistic equation. Journal of Environmental Hydrology, Vol. 15, Paper 4. CONTACT: E. Carlier Laboratoire des Processus et Bilans Sédimentaires, UMR CNRS 8110 Université d’Artois, Faculté Jean Perrin Rue Jean Souvraz, SP18 62307 Lens cedex, France E-mail: erick.carlier@univ-artois.fr, erick.carlier@yahoo.fr |
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