Effect of sediment formation on the filtration of a liquid from suspension

The problem of the gravitational filtration of a liquid in suspension is considered taking into account the formation of deposition by sedimentary disperse particles. The behavior of the suspension has been described using the system of equations of 1D inertia-free motion of a two-phase mixture, while the flow of the liquid through the porous sediment layer has been described by the filtration equation based on the Darcy law. The dynamics of sediment formation has been analyzed. Limiting cases of equidense and equilibrium suspensions have been studied separately. The expressions for integrated characteristics of the filtration of a disperse mixture in the gravity field have been derived, and the intensities of filtration in different regimes have been compared. The effect of key parameters on the dynamics of filtering a liquid from a suspension has been investigated.