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.

本文致力于研究水平层多孔介质中的溶质对流与混合物的水平渗流和溶质固定。通过多孔介质的流动在标准 Darcy-Bousinesq 模型中建模，并且通过移动/固定介质 (MIM) 方法描述固定。考虑到高浓度的溶质，这导致考虑介质渗透率对孔隙率的依赖性。孔隙率的变化被建模为固定相中溶质浓度的线性函数。结果表明，固定化导致均匀过滤状态的稳定和扰动动态的减慢。