Deep bed filtration model for cake filtration and erosion

DOI10.1007/S10483-024-3077-9zbMATH Open1539.76216MaRDI QIDQ6542722

A. R. Pesterev, Liudmila I. Kuzmina, Yuri V. Osipov

Publication date: 22 May 2024

Published in: AMM. Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

analytical solutionporous mediumdeep bed filtrationconcentration frontcake filtrationparticle deposition and erosion

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Flows in porous media; filtration; seepage (76S05)

Cites Work

• Asymptotics for filtration of polydisperse suspension with small impurities
• Analysis of particulate behavior in porous media
• Stochastic and upscaled analytical modeling of fines migration in porous media induced by low-salinity water injection
• Problem of deep bed filtration in a porous medium with the initial deposit
• Plugging by hydrodynamic bridging during flow of stable colloidal particles within cylindrical pores
• Exact Solution for Deep Bed Filtration with Finite Blocking Time

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