Block ILU-preconditioners for problems of filtration of a multicomponent mixture in a porous medium

2009 ◽  
Vol 64 (5) ◽  
pp. 195-201 ◽  
Author(s):  
K. Yu. Bogachev ◽  
Ya. V. Zhabitskii
Keyword(s):  
Porous Medium ◽  
Multicomponent Mixture

scholarly journals Isothermal Dynamics of the Adsorption of Multicomponent Mixtures

1988 ◽  
Vol 5 (2) ◽  
pp. 94-105 ◽  
Author(s):  
L.K. Filippov
Keyword(s):  
Porous Medium ◽  
Mass Exchange ◽  
Multicomponent Mixture ◽  
Theoretical Models ◽  
Multicomponent Mixtures ◽  
Mixture Adsorption ◽  
Limited Applicability ◽  
Kinetics Of ◽  
Porous Grains ◽  
Exchange Parameters

Theoretical models for the isothermal dynamics of the adsorption of multicomponent mixtures have been classified. The conditions determining a given frontal behaviour have been shown to depend on the type of theoretical model employed, on the kind of the adsorption isotherm and on the values of the mass exchange parameters inside and outside the porous grains in the porous medium. It has been shown that S type models of the kinetics of interphase mass exchange occurring within porous grains are of limited applicability, whereas the C type appears to be more sensible. Formulae for calculating the quantities determining the frontal behaviour for multicomponent mixture adsorption have been derived.

Fundamental statements about thermal diffusion for a multicomponent mixture in a porous medium

1994 ◽  
Vol 100 ◽  
pp. 209-222 ◽  
Author(s):  
B. Faissat ◽  
K. Knudsen ◽  
E.H. Stenby ◽  
F. Montel
Keyword(s):  
Porous Medium ◽  
Thermal Diffusion ◽  
Multicomponent Mixture

Modelling Of Transport And Capture Of Particles In A Porous Medium

2019 ◽  
pp. 56-60
Keyword(s):  
Porous Medium ◽  
Asymptotic Solution ◽  
Retention Mechanism ◽  
Inverse Filtering ◽  
Underground Structures ◽  
Loose Soil ◽  
Monodisperse Suspension ◽  
Homogeneous Porous Medium ◽  
Model Equations ◽  
Pass Through

The study of the transport and capture of particles moving in a fluid flow in a porous medium is an important problem of underground hydromechanics, which occurs when strengthening loose soil and creating watertight partitions for building tunnels and underground structures. A one-dimensional mathematical model of long-term deep filtration of a monodisperse suspension in a homogeneous porous medium with a dimensional particle retention mechanism is considered. It is assumed that the particles freely pass through large pores and get stuck at the inlet of small pores whose diameter is smaller than the particle size. The model takes into account the change in the permeability of the porous medium and the permissible flow through the pores with increasing concentration of retained particles. A new spatial variable obtained by a special coordinate transformation in model equations is small at any time at each point of the porous medium. A global asymptotic solution of the model equations is constructed by the method of series expansion in a small parameter. The asymptotics found is everywhere close to a numerical solution. Global asymptotic solution can be used to solve the inverse filtering problem and when planning laboratory experiments.

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