Off-Diagonal Dispersion Effect with Pollutant Migration in Groundwater System
Publication: Journal of Engineering Mechanics
Volume 147, Issue 12
Abstract
This study proposes two-dimensional (2D) pollutant migration in a semi-infinite geological formation with spatial varying transport parameters. Because the groundwater flow is bidirectional, the impact of off-diagonal dispersion also was taken into account. A decay parameter was considered in the aqueous phase as well as in the solid phase. We assumed that the groundwater reservoir was not plume-free, because some scale-varying pollutant exists there very initially, decaying with space. A change in the source at the inlet boundary in the presence of off-diagonal dispersion (ODD) alters the strength of pollutant concentration. The existing solutions can be reduced into other existent solutions for various geological formations. The Laplace transform technique (LTT) was applied to obtain the pollutant concentration profile in the 2D anisotropic heterogeneous porous medium. The Crank–Nicolson finite-difference (CNFD) technique was adopted for a numerical simulation. We demonstrated the validity of the analytical result. The numerical result and some previously available data from literature were compared and good agreement was found.
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Data Availability Statement
All data, models, or code generated or used during the study are proprietary or confidential in nature and may be provided only with restrictions.
Acknowledgments
The authors thank the Indian Institute of Technology (Indian School of Mines), Dhanbad for providing financial assistance. The authors also are thankful to the editor and reviewers for their constructive comments, which helped improve the quality of paper.
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Journal of Engineering Mechanics
Volume 147 • Issue 12 • December 2021
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© 2021 American Society of Civil Engineers.
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Received: Oct 19, 2020
Accepted: Jul 22, 2021
Published online: Oct 8, 2021
Published in print: Dec 1, 2021
Discussion open until: Mar 8, 2022
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