Modelling of hydrodispersive processes in the fissured media by flux limiters schemes (Chalk aquifer, France)

Authors:
Lahcen Zouhri;Hassan Smaoui;Erick Carlier;Abdellatif Ouahsine
Affiliations:
Institut Polytechnique LaSalle, Département Géosciences 19, rue Pierre Waguet, BP 30313, 60026 Beauvais Cedex, France;Laboratoire Roberval, CETMEF-LHN, UTC-Centre de Recherche Royallieu B.P. 20529, 60206 Compiégne Cedex, France;UMR CNRS 8107, LML, Polytech-Lille, 59655 Villeneuve dAscq, France;Laboratoire Roberval, UMR CNRS 6253, UTC-Centre de Recherche Royallieu, B.P. 20529, 60206 Compiègne cedex, France
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2009

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Abstract

This paper concerns the numerical schemes describing solute transport in fissured systems which are characterized by the tectonic blocks and spatial repartition of hydraulic properties with dual permeability structures composed of high- and low-permeability blocks of the chalk aquifer (Northern France). Both advection and diffusion mechanisms are taken into account. The novel mathematical approach is based on the Total Variation Diminishing (TVD) schemes. Diffusion processes are considered by comparing five numerical schemes: Upwind, Minmod, Van Leer, Superbee and MUSCL. The estimation of the infected surface shows that the Superbee scheme has the ability to limit the numerical diffusion and reduces the numerical dispersion.