Solute transport exponentially varies with time in an unsaturated zone using finite element and finite difference method

Among several aspects, the one contributing towards the difficulty of groundwater quality evaluation is the large diversity of contamination sources. As contaminants comprising various compounds move from the soil to the water table, they will travel through several hydrologic zones. In constant uni...

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Published inInternational journal of modern physics. B, Condensed matter physics, statistical physics, applied physics Vol. 37; no. 9
Main Authors Rekha, J., Suma, S. P., Shilpa, B., Khan, Umair, Hussain, Syed M., Zaib, Aurang, Galal, Ahmed M.
Format Journal Article
LanguageEnglish
Published Singapore World Scientific Publishing Company 10.04.2023
World Scientific Publishing Co. Pte., Ltd
Subjects
Contaminants
Dispersion
Finite difference method
Finite element method
Groundwater quality
Hydrology
Laplace transforms
Mathematical analysis
Pollutants
Pollution transport
Porous media
Quality assessment
Soil contamination
Soil permeability
Soil water movement
Water table
Fick’s law
Integral transforms
advection–dispersion equation
moving coordinates
Duhamel’s theorem
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Summary:Among several aspects, the one contributing towards the difficulty of groundwater quality evaluation is the large diversity of contamination sources. As contaminants comprising various compounds move from the soil to the water table, they will travel through several hydrologic zones. In constant unidirectional flow fields, a mathematical study of simultaneous adsorption and dispersion of a solute inside homogeneous and isotropic permeable media is described. The solute is adsorbed at a rate proportionate to its concentration in the dispersion systems, which are susceptible to input concentrations that fluctuate exponentially with time. The advection–dispersion equation (ADE) was solved numerically in this work to analyze the pollutants transport bearing in mind the coefficient of distribution and permeability by considering pollutant input concentrations. The solution is derived using the Laplace transform and Duhamel’s theorem with moving coordinates. For specified medium and fluid characteristics, mathematical methods are created to forecast the concentration of pollutants in adsorbing porous media.
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ISSN:0217-9792
1793-6578
DOI:10.1142/S0217979223500893