Solutal convection in horizontal porous layer with immobilization and clogging

Abstract

Abstract The paper is devoted to the investigation of the solutal convection in a horizontal layer of porous media with horizontal seepage of the mixture and solute immobilization. The flow through porous media is modelled within the standard Darcy–Bousinesq model and immobilization is described by the mobile/immobile media (MIM) approach. The high concentrations of solute are considered which lead to taking into account the dependence of media permeability on porosity. The variation of porosity is modelled as a linear function of solute concentration in the immobile phase. It is shown that immobilisation leads to the stabilization of homogeneous filtration regime and to slow down of the perturbation dynamics. The increasing of critical parameters with the intensification of sorption is not monotonous due to saturation of porous matrix with the adsorbed solute.