Stochastic modelling of tracer transport in three dimensions

International Conference on Tracers and Modelling in Hydrogeology (TraM 2000), LIEGE, BELGIUM, MAY, 2000International audienceModelling 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 common approach (advection-dispersion equation) considers an average advective flow rate and a Fickian-like dispersion. Consequently, advection is independent of dispersion. Here we propose a more accurate approach: advection is a function of the dispersive behaviour of the solute and of the characteristics of the medium. This method provides useful insight of 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