A stochastic model of transport in three-dimensional porous media
Résumé
Modeling of solute transport remains a key issue in the area of groundwater contamination. The fundamental processes of solute transport are advection and dispersion and an accurate description is needed for all modeling studies. The most common approach (advection-dispersion equation) considers an average advective flow rate and a Fickian-like dispersion. Here we propose a more accurate approach: advection is a function of the dispersive behavior of the solute and of medium characteristics. This method provides useful insight for the dispersion process in general. The aim of this article is to present the mathematical background of the random walk model and a simple numerical application.
Mots clés
modeling
mass transport
non-Fickian dispersion
random walk
stochastic processes
Keywords-Plus = SOLUTE TRANSPORT
SPATIAL MOMENTS
DISPERSION
Research-Areas = Geology
Mathematics
Web-of-Science-Categories = Geosciences
Multidisciplinary
Interdisciplinary Applications
Number-of-Cited-References = 25
Times-Cited = 1
Journal-ISO = Math. Geol.
Doc-Delivery-Number = 489NF
Unique-ID = ISI:000171997100003
Journal-ISO = Math. Geol
Origine | Fichiers produits par l'(les) auteur(s) |
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