A model of a reactive transport in porous media

In this talk I will introduce a model that describes the flow in a porous medium of a mobile species which precipitates into an immobile precipitate, leading to the formation/degradation of crystals inside a porous matrix. The flow is governed by a Darcy problem, where the permeability is changed according to the solute concentration. The dissolution rate is described by a set valued function. The problem has been solved numerically by a treatment of the discontinuity based on event-driven methods and on the Filippov theory. I will present some results about the convergence analysis of a finite element discretization of the problem, and I will compare the results obtained by the application of event-driven methods against regularization methods.