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A hydrogeological model for the spread of pollution in an aquifer isconsidered. The model consists in a convection-diffusion-reaction equationinvolving the dispersion tensor which depends nonlinearly of the fluidvelocity. We introduce an explicit flux in the model and use a mixed FiniteElement Method for the discretization. We provide existence, uniqueness andstability results for the discrete model. A convergence result is obtained forthe semi-discretized in time problem and for the fully discretization.

Mixed Finite Element Method and numerical analysis of a convection-diffusion-reaction model in a porous medium