Convective Stability of a Net Mass Flow Through a Horizontal Porous Layer with Immobilization and Clogging

Solutal convection in a horizontal layer filled with porous media with horizontal seepage of a mixture is investigated considering the solute immobilization and clogging. A flow through porous media is modelled within the standard Darcy–Boussinesq model, and the immobilization process is described b...

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Bibliographic Details
Published in:Transport in porous media 2021-04, Vol.137 (3), p.667-682
Main Authors: Maryshev, Boris S., Klimenko, Lyudmila S.
Format: Article
Language:English
Subjects:
Boussinesq equations
Civil Engineering
Classical and Continuum Physics
Dynamic stability
Earth and Environmental Science
Earth Sciences
Flow stability
Geotechnical Engineering & Applied Earth Sciences
Hydrogeology
Hydrology/Water Resources
Immobilization
Industrial Chemistry/Chemical Engineering
Linear functions
Mass flow
Model testing
Permeability
Perturbation
Porosity
Porous media
Seepage
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Summary:Solutal convection in a horizontal layer filled with porous media with horizontal seepage of a mixture is investigated considering the solute immobilization and clogging. A flow through porous media is modelled within the standard Darcy–Boussinesq model, and the immobilization process is described by the mobile/immobile media (MIM) approach. To describe the clogging process, the present model takes into account and the dependence of media permeability on porosity within the Carman–Kozeny equation. The presence of immobile (or adsorbed) particles of the solute decreases the porosity of media, and porous media become less permeable. The variation of porosity is modelled by a linear function of solute concentration in the immobile phase. We consider the case of high solute concentrations, in which the immobilization is described by the nonlinear MIM (mobile/immobile media) model. As a result, it was shown that the immobilization leads to the stabilization of the homogeneous filtration regime and to slowing down of the perturbation dynamics. The stability maps were plotted in a wide range of system parameters. The results showed that for some specific value of clean media porosity the system becomes most unstable and dynamics of perturbations (frequency of oscillations) is most intensive. This value corresponds to the minimal effect of porosity change to variation of permeability due to the immobilization.
ISSN:0169-3913
1573-1634
DOI:10.1007/s11242-021-01582-6