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Solute transport in a dual porosity medium and scale effect of the dispersivity. Prosol for a probabilistic equation

type de publication      article in an international journal with refereeing comitee
date de publication 2007
auteur(s) Carlier Erick
journal (abréviation) Journal of Environmental Hydrology (J Environ Hydrol)
volume (numéro) 15 (4)
pages 1 – 8
résumé 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.
mots clés scale effect, probability, dispersivity
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