CALCULATION OF LONG-TERM FILTRATION IN A POROUS MEDIUM
| Autor: | Nikita V. Vetoshkin, Yuri Osipov, Ludmila I. Kuzmina |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Materials science
Computational Mechanics Building and Construction Physics::Geophysics law.invention Term (time) Chemical engineering Mechanics of Materials law lcsh:TA401-492 filtration porous medium suspended and retained particles mathematical model asymptotics lcsh:Materials of engineering and construction. Mechanics of materials Porous medium Filtration Civil and Structural Engineering |
| Zdroj: | International Journal for Computational Civil and Structural Engineering, Vol 14, Iss 1 (2018) |
| ISSN: | 2588-0195 2587-9618 |
| DOI: | 10.22337/2587-9618-2018-14-1-92-101 |
| Popis: | he filtration problem in a porous medium is an important part of underground hydromechanics. Filtration of suspensions and colloids determines the processes of strengthening the soil and creating waterproof walls in the ground while building the foundations of buildings and underground structures. It is assumed that the formation of a deposit is dominated by the size-exclusion mechanism of pore blocking: solid particles pass freely through large pores and get stuck at the inlet of pores smaller than the diameter of the particles. A one-dimensional mathematical model for the filtration of a monodisperse suspension includes the equation for the mass balance of suspended and retained particles and the kinetic equation for the growth of the deposit. For the blocking filtration coefficient with a double root, the exact solution is given implicitly. The asymptotics of the filtration problem is constructed for large time. The numerical calculation of the problem is carried out by the finite differences method. It is shown that asymptotic approximations rapidly converge to a solution with the increase of the expansion order. |
| Databáze: | OpenAIRE |
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