The permeability coefficient of a porous medium saturated with a gas or liquid after a confined explosion

1984 ◽  
Vol 24 (5) ◽  
pp. 728-733
Author(s):  
A. N. Bovt ◽  
N. F. Zobov ◽  
V. V. Kadet ◽  
V. I. Selyakov ◽  
E. A. Shurygin
2006 ◽  
Vol 306-308 ◽  
pp. 1433-1438 ◽  
Author(s):  
Ji Chao Sun ◽  
Quan Chen Gao ◽  
Hai Biao Wang ◽  
Ying Ming Li

As a kind of porous medium made of grains, water and air, under some transfer influences, the soil in some certain atmosphere circumstances has the transfer of heat, water and air, which leads to people’s interesting. The change of temperature influences engineering, such as soils’ consolidation, expansion, grains’ force and pore pressure and so on. The paper gives a coupled numerical simulation of atmosphere rain, temperature of soils and gives the correlation between rain and temperature in unsaturated soils. The different clock of the rain begin in day little influences seepage field, due to the superficial part the sun influences; otherwise the temperature has an great influence on the permeability coefficient and diffusion coefficient.


1982 ◽  
Vol 22 (6) ◽  
pp. 843-850 ◽  
Author(s):  
A. N. Bovt ◽  
K. V. Myasnikov ◽  
V. N. Nikolaevskii ◽  
E. A. Shurygin

2014 ◽  
Vol 1 (3) ◽  
pp. 140352 ◽  
Author(s):  
Silvana S. S. Cardoso ◽  
Julyan H. E. Cartwright

We derive from kinetic theory, fluid mechanics and thermodynamics the minimal continuum-level equations governing the flow of a binary, non-electrolytic mixture in an isotropic porous medium with osmotic effects. For dilute mixtures, these equations are linear and in this limit provide a theoretical basis for the widely used semi-empirical relations of Kedem & Katchalsky (Kedem & Katchalsky 1958 Biochim. Biophys. Acta 27 , 229–246 ( doi:10.1016/0006-3002(58)90330-5 ), which have hitherto been validated experimentally but not theoretically. The above linearity between the fluxes and the driving forces breaks down for concentrated or non-ideal mixtures, for which our equations go beyond the Kedem–Katchalsky formulation. We show that the heretofore empirical solute permeability coefficient reflects the momentum transfer between the solute molecules that are rejected at a pore entrance and the solvent molecules entering the pore space; it can be related to the inefficiency of a Maxwellian demi-demon.


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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