Two-Dimensional Solute Transport in a Semi-Infinite Porous Medium with Variable Dispersion and Groundwater Velocity

Joy Roy¹ , Lav Kush Kumar² , Vijayshree Yadav³ , R.R. Yadav⁴

Section:Research Paper, Product Type: Journal-Paper
Vol.8 , Issue.2 , pp.20-28, Apr-2021

Online published on Apr 30, 2021

Copyright © Joy Roy, Lav Kush Kumar, Vijayshree Yadav, R.R. Yadav . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
In this paper, a theoretical model is developed for solving a two-dimensional advection-dispersion problem for semi-infinite porous medium. Dispersion coefficient and groundwater velocity are functions of space as well as time. Due to heterogeneity of the medium retardation factor is also considered space dependent. Initial concentration distribution is uniform throughout the domain. The time-dependent pulse type point source is being injected from the origin along the flow. Input concentration is provided in tabulated data form for certain points of time (i.e., discrete data). The concentration gradient at other end of the boundary is supposed to be zero. The advection-dispersion equation (ADE) with variable coefficients is transformed into constant coefficients using appropriate transformations. The transport scenario has been analytically solved through the Laplace Integral Transformation Technique (LITT). A time-space concentration curves are drawn for various parameters responsible for transport scenario.

Key-Words / Index Term :
Advection, Aquifer, Contaminant, Dispersion, Heterogeneous, Interpolation, Retardation

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