Exact Solution for Deep Bed Filtration with Finite Blocking Time

DOI10.1137/19M1309195zbMath1486.76079MaRDI QIDQ5123490

P. G. Bedrikovetskij, Vladimir E. Nazaikinskii, Yuri V. Osipov, Liudmila I. Kuzmina

Publication date: 29 September 2020

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

method of characteristicsunique solvabilityporous medium flowweak singularityquasilinear hyperbolic systemmonodisperse suspension

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Suspensions (76T20) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25)

Related Items (1)

Bidisperse filtration problem with non-monotonic retention profiles

Cites Work

• Splitting in systems of PDEs for two-phase multicomponent flow in porous media
• Theory of fluid flows through natural rocks
• Exact solutions for two-phase colloidal-suspension transport in porous media
• Exact solution for long-term size exclusion suspension-colloidal transport in porous media
• On a deep bed filtration problem with finite blocking time
• A fast inverse solver for the filtration function for flow of water with particles in porous media
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