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Particle Capture in Porous Medium

Ch. 012122. P. 1–8.
Liudmila Kuzmina, Osipov Y.

Filtration problems in porous media are important for studying the movement of groundwater in porous formations and the spreading of liquid concrete injected into porous soil. Deep bed filtration of a monodisperse suspension in a homogeneous porous medium with two simultaneously acting particle capture mechanisms is considered. A mathematical model of suspension flow through porous medium with pore blocking by size-exclusion and arched bridging is developed. Exact solutions are obtained on the concentration front and at the porous medium inlet. For the linear filtration function, exact and asymptotic solutions are constructed.

Language: English
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Keywords: suspension porous medium deep bed filtrationparticle capture mechanismanalytic solution

In book

IOP Conference Series: Materials Science and Engineering: XXVIII R-P-S Seminar 2019 9–13 September 20, 19, ŽilinaSlovakia
Vol. 661: XXVIII R-P-S Seminar 2019 9–13 September 2019, Žilina, Slovakia. , IOP Publishing, 2019.
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Added: February 25, 2026
ESTIMATES TO THE WEAK SOLUTION OF THE ELECTRO-HYDRODYNAMICAL BOUNDARY VALUE PROBLEM FOR THE UNIT CELL OF CATION-EXCHANGE MEMBRANE. THE CASE OF NONZERO DEBYE RADIUS
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Added: October 31, 2023
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During the construction of hydraulic and underground structures, a grout solution is pumped into the ground to create waterproof partitions. The liquid grout is filtered in the porous rock and clogs the pores when hardened. The mathematical model of deep bed filtration describes the transfer of suspension particles and colloids by a fluid flow through the pores of ...
Added: October 18, 2021
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Added: September 20, 2021
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Filtration problems arise in the design of tunnels and underground structures. A onedimensional filtration model of a monodisperse suspension in a homogeneous porous medium is considered. For a general nonlinear filtration function, an asymptotic solution is constructed behind the concentrations front of suspended and retained particles. It is shown that the asymptotics is close to the numerical solution. Comparison ...
Added: July 3, 2021
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Added: July 3, 2021
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Filtration of suspension in a porous medium is actual in the construction of tunnels and underground structures. A model of deep bed filtration with size-exclusion mechanism of particle capture is considered. The inverse filtration problem – finding the Langmuir coefficient from a given concentration of suspended particles at the porous medium outlet is solved using the asymptotic solution ...
Added: July 2, 2021
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Added: January 7, 2021
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