Abstract

The paper is devoted to the investigation of the linear stability of homogeneous pulsating vertical seepage of mixture through porous media with solute immobilization. The flow through porous media is modelled within the standard Darcy law and immobilization is described by the linear mobile/immobile media (MIM) model. It is known that the immobilization leads to oscilatory mode of convective instability due to transition of solute from the mobile phase to immobile. It means that immobilization effect to the flow pulsations should be non-trivial. The equations for the convection with immobilization is derived, the regime of homogeneous filtration is obtained and its stabilization is investigated. The neutral curves into the space of parameters of investigated system is ploted. The effect of homogeneous filtration stabilization under intensification of external seepage and dynamics interphase exchange is studied.

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