An Analytical Approach to Contaminant Transport with Spatially and Temporally Dependent Dispersion in a Heterogeneous Porous Medium

Sujata Kushwaha; Raja Ram Yadav; Lav Kush Kumar; Joy Roy

doi:10.17776/csj.1258286

EN

An Analytical Approach to Contaminant Transport with Spatially and Temporally Dependent Dispersion in a Heterogeneous Porous Medium

Abstract

This study presents an analytical solution to the one-dimensional advection-dispersion equation (ADE) for a semi-infinite heterogeneous aquifer system with space and time-dependent groundwater velocity and dispersion coefficient. The dispersion coefficient is assumed to be proportional to the groundwater flow velocity. In addition, retardation factor, first-order decay and zero-order production terms are also considered. Contaminants and porous media are assumed to be chemically inert. Initially, it is assumed that some uniformly distributed solutes are already present in the aquifer domain. The input point source is considered uniformly continuous and increasing nature in a semi-infinite porous medium. The solutions are obtained analytically using the Laplace Integral Transform Technique (LITT). The nature of the concentration profile of the resulting solution for different parameters in different time domains is illustrated graphically.

Keywords

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References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Sujata Kushwaha ^*
0000-0003-0467-3862
India

Raja Ram Yadav
0000-0002-1311-5435
India

Lav Kush Kumar
0000-0001-9039-7205
India

Joy Roy
0000-0003-0403-3048
India

Publication Date

September 29, 2023

Submission Date

March 1, 2023

Acceptance Date

August 30, 2023

Published in Issue

Year 2023 Volume: 44 Number: 3

DOI

https://doi.org/10.17776/csj.1258286

IZ

https://izlik.org/JA37AH36TE

Cite

RIS / Bibtex

APA

Kushwaha, S., Yadav, R. R., Kumar, L. K., & Roy, J. (2023). An Analytical Approach to Contaminant Transport with Spatially and Temporally Dependent Dispersion in a Heterogeneous Porous Medium. Cumhuriyet Science Journal, 44(3), 538-546. https://doi.org/10.17776/csj.1258286

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American Journal of Applied Mathematics

https://doi.org/10.11648/j.ajam.20261402.11

Öz

An Analytical Approach to Contaminant Transport with Spatially and Temporally Dependent Dispersion in a Heterogeneous Porous Medium

Abstract

Keywords

Supporting Institution

Project Number

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

Cite

Cited By

A Temporally Relaxed Theory Model for Non‐Equilibrium Solute Transport in Layered Media

Semi-analytical Solution of One-dimension Advection Diffusion Equation Coupled with Linear Partial Differential Equation with Constant Coefficient