Abstract
The structure of underground waters and water permeability of rocks must be taken into account when choosing the location of construction objects, the design of tunnels, hydraulic and underground structures. The model of filtration for suspension in solid porous medium during its displacement with clean water is considered. The numerical calculation of boundary of two phases is carried out and concentrations of suspended and retained particles are calculated for different values of porosity and permeability of the porous medium.
Highlights
The structure of underground waters and water permeability of rocks must be taken into account when choosing the location of construction objects, the design of tunnels, hydraulic and underground structures [1]
In this paper the mathematical model of the particles motion in the filter based on the mechanical-geometric interaction of particles with porous medium is considered
The solution of the problem of particle diffusion in the filter describes the process of particles transport through the pores of the filter and the dynamics of precipitation
Summary
The structure of underground waters and water permeability of rocks must be taken into account when choosing the location of construction objects, the design of tunnels, hydraulic and underground structures [1]. Underground waters passing through the porous rocks and soil transport a lot of small solid particles. Fine migration – one-dimensional problem of particle filtration in the solid porous medium during its displacement with pure water is considered [2,3]. In problem considered at the initial moment the porous medium is filled with suspension with given concentrations of suspended and retained particles. At the filter inlet the clean water begins to flow It is gradually displacing the suspension and filling the porous medium. In a part of the porous medium, which is after water front, filtration of the suspension is terminated, the concentration of suspended particles becomes zero, and the concentration of retained particles is constant
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