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Analytical solutions of the advection-dispersion equation for transient groundwater flow. A numerical validation

type de publication      article dans une revue internationale avec comité de lecture
date de publication 2008
auteur(s) Carlier Erick
journal (abréviation) Hydrological Processes (Hydrolog Process)
volume (numéro) 22 (17)
pages 3500 – 3506
résumé An analytical transport-model was developed to simulate the propagation of a contaminant in one- and two-dimensional transient flow in groundwater. It is proved that the distribution of concentration at a given time and for a given discharge is identical to that obtained for a different discharge if the volumetric flux of water is the same in the two cases. The results of simulations have been compared with results obtained using the MT3DMS numerical model. There is good agreement when the calculated concentrations are flux-weighted concentrations. On the other hand, there is a notable divergence when the resident mode is considered. Resident mode concentrations express the mass per unit volume whereas flux mode concentrations express the ratio of mass flux to fluid flux. The solutions presented in this paper can thus be a useful alternative to code MT3DMS when the objective is to simulate concentrations in transient flow according to a resident mode.
mots clés pollution; groundwater; transient flow; dispersion; modelling
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