Filtration of 2-particles suspension in a porous medium

Abstract During the construction of underground storage of hazardous waste, it is necessary to create waterproof walls in the ground. The grout is filtered in the rock, fills the pores and, when hardened, creates a reliable barrier to groundwater. A one-dimensional model of the flow of inhomogeneous...

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Bibliographic Details
Published in:Journal of physics. Conference series 2021-05, Vol.1926 (1), p.12001
Main Authors: Kuzmina, L I, Osipov, Yu V, Astakhov, M D
Format: Article
Language:English
Subjects:
Depth profiling
Exact solutions
Filtration
Groundwater
Grout
Hazardous wastes
One dimensional models
Physics
Porous media
Time dependence
Underground construction
Underground storage
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Summary:Abstract During the construction of underground storage of hazardous waste, it is necessary to create waterproof walls in the ground. The grout is filtered in the rock, fills the pores and, when hardened, creates a reliable barrier to groundwater. A one-dimensional model of the flow of inhomogeneous particles in a porous medium is considered. The retained particles profiles formed during deep bed filtration are studied. It is shown that when filtering a 2-particle suspension, the deposit is distributed unevenly. The profile of large retained particles is always monotonous, and the profile of small retained particles is nonmonotonic. The monotonicity of the total deposit profile depends on the model parameters. The shape of non-monotonic profiles is time-dependent. At short times, the profile decreases monotonously. At some point, a maximum appears on the profile graph, which shifts from the inlet to the output with increasing time. When the maximum point reaches the outlet, the profile becomes monotonically increasing. With a further increase in time, the retention profiles remain monotonically increasing. Analytical solutions for a filtration model with particles of three or more different types are unknown. Analysis of the retention profiles of the polydisperse suspension requires further study.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1926/1/012001