A probabilistic model for the simulation of radioactivity transport through a heterogeneous porous medium

2022 ◽  
Vol 145 ◽  
pp. 104101
Author(s):  
Soubhadra Sen ◽  
C.V. Srinivas ◽  
R. Venkatesan
Keyword(s):  
Porous Medium ◽  
Probabilistic Model ◽  
Heterogeneous Porous Medium

Analysis of two-dimensional solute transport through heterogeneous porous medium

2018 ◽  
Vol 2 (3) ◽  
Author(s):  
Atul Kumar ◽  
◽  
Lav Kush Kumar ◽  
Shireen Shireen ◽  
◽  
...  
Keyword(s):  
Porous Medium ◽  
Solute Transport ◽  
Two Dimensional ◽  
Heterogeneous Porous Medium

scholarly journals Multidimensional computational models of gas combustion in heterogeneous porous medium

2021 ◽  
Vol 2099 (1) ◽  
pp. 012010
Author(s):  
Yu Laevsky ◽  
T Nosova
Keyword(s):  
Porous Medium ◽  
Parabolic Equations ◽  
Computational Models ◽  
Front Propagation ◽  
Original Model ◽  
Gas Mixture ◽  
Heterogeneous Porous Medium ◽  
Gas Combustion ◽  
Piecewise Constant ◽  
System Of Parabolic Equations

Abstract The processes of filtration gas combustion in heterogeneous porous medium is studying. The presence of two opposite modes of front propagation made it possible to stabilize the combustion front in a composite porous medium with piecewise constant porosity. A feature of this study is the presentation of the original model not in the traditional form of a system of parabolic equations, but in the form of integral conservation laws in terms of the temperature of the porous medium, the total gas enthalpy, and the mass of gas mixture, and the fluxes corresponding to these functions.

MATHEMATICAL SOLUTION OF FINGERING PHENOMENON IN VERTICAL DOWNWARD DIRECTION THROUGH HETEROGENEOUS POROUS MEDIUM

2021 ◽  
Vol 10 (1) ◽  
pp. 483-496
Author(s):  
D.A. Shah ◽  
A.K. Parikh
Keyword(s):  
Porous Medium ◽  
Oil Recovery ◽  
Analytic Solution ◽  
Variational Iteration Method ◽  
Approximate Analytic Solution ◽  
Order Partial Differential Equation ◽  
Heterogeneous Porous Medium ◽  
Fingering Instability ◽  
Oil Flow ◽  
Secondary Oil Recovery

Present study explores the Fingering (Instability) phenomenon's mathematical model that ensues during the process of secondary oil recovery where two not miscible fluids (water and oil) flow within a heterogeneous porous medium as water is injected vertically downwards. Variational iteration method with proper initial and boundary conditions is being used to determine approximate analytic solution for governing nonlinear second order partial differential equation. Whereas MATLAB is applied to acquire the solution's numerical findings and graphical representations.

Comparison of theory and experiment for solute transport in highly heterogeneous porous medium

2007 ◽  
Vol 30 (11) ◽  
pp. 2235-2261 ◽  
Author(s):  
Fabrice Golfier ◽  
Michel Quintard ◽  
Fabien Cherblanc ◽  
Brendan A. Zinn ◽  
Brian D. Wood
Keyword(s):  
Porous Medium ◽  
Solute Transport ◽  
Heterogeneous Porous Medium ◽  
Theory And Experiment
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