Abstract
The study of filtration problem is important when designing and constructing structures on water saturated ground. The filtration of a suspension with particles of different sizes moving at the same speed in a homogeneous porous medium is considered. A global asymptotic solution is constructed for a small filtration coefficient. The numerical calculation is based on experimental data.
Highlights
The study of filtration of suspended particulate matter - suspension in a porous medium is an important problem of underground hydromechanics [1]
A model of deep bed filtration of a suspension with suspended particles of various sizes moving with the same velocities in a homogeneous porous medium is considered
In the paper an asymptotic solution of the filtration problem of a polydisperse suspension in a porous medium is constructed assuming that the filtration coefficient is small
Summary
The study of filtration of suspended particulate matter - suspension in a porous medium is an important problem of underground hydromechanics [1]. A model of deep bed filtration of a suspension with suspended particles of various sizes moving with the same velocities in a homogeneous porous medium is considered. It is assumed that at the initial moment the porous medium does not contain any particles. A suspension containing n different types of suspended particles of constant concentration is injected at the filter inlet. In the paper an asymptotic solution of the filtration problem of a polydisperse suspension in a porous medium is constructed assuming that the filtration coefficient is small. Numerical calculation of the asymptotics at the filter outlet is performed for 3-size particles on the basis of experimental data [10]
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