Asymptotic transport parameters in a heterogeneous porous medium: Comparison of two ensemble-averaging procedures

When doing researches on solute dynamics in porous medium, the knowledge of medium characteristics and percolating liquids, as well as of external factors is very important. An important external factor is temperature and, in this sense, our purpose was determining potassium and nitrate transport parameters for different values of temperature, in miscible displacement experiments. Evaluated parameters were retardation factor (R), diffusion/dispersion coefficient (D) and dispersivity, at ambient temperature (25 up to 28 ºC), 40 ºC and 50 ºC. Salts used were potassium nitrate and potassium chlorate, prepared in a solution made up of 5 ppm nitrate and 2.000 ppm potassium, with Red-Yellow Latosol porous medium. Temperature exhibited a positive influence upon porous medium solution and upon dispersion coefficient.

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Calculation of the filtration in a heterogeneous porous medium

MATEC Web of Conferences ◽

10.1051/matecconf/201711700052 ◽

2017 ◽

Vol 117 ◽

pp. 00052 ◽

Cited By ~ 9

Author(s):

Yuri Galaguz ◽

Galina Safina

Keyword(s):

Porous Medium ◽

Heterogeneous Porous Medium

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Multidimensional computational models of gas combustion in heterogeneous porous medium

Journal of Physics Conference Series ◽

10.1088/1742-6596/2099/1/012010 ◽

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.

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

Advances in Mathematics: Scientific Journal ◽

10.37418/amsj.10.1.48 ◽

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.

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