A kinetic model for the combustion of carbon in a porous medium

1993 ◽  
Vol 29 (3) ◽  
pp. 382-384
Author(s):  
E. M. Tonkopii ◽  
G. B. Manelis ◽  
S. V. Kulikov
Keyword(s):  
Porous Medium ◽  
Kinetic Model

Modeling of gas transport in porous medium: Stochastic simulation of the Knudsen gas and a kinetic model with homogeneous scatterer

2020 ◽  
Vol 32 (10) ◽  
pp. 102004
Author(s):  
Shigeru Takata ◽  
Kisho Hatakenaka ◽  
Masanari Hattori ◽  
Fumiyoshi Kasahara
Keyword(s):  
Porous Medium ◽  
Kinetic Model ◽  
Stochastic Simulation ◽  
Gas Transport ◽  
Knudsen Gas

In-Situ Upgrading In a Dolomite Porous Medium: A Kinetic Model Comparison and Nanocatalyst Deposition Study

2021 ◽  
pp. 108799
Author(s):  
J. Duran Armas ◽  
A. Garcia-Vila ◽  
Lante Carbognani Ortega ◽  
Carlos E. Scott ◽  
Brij Maini ◽  
...  
Keyword(s):  
Porous Medium ◽  
Kinetic Model ◽  
Model Comparison

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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