Analytical Solution for Tide-Influenced Groundwater Variation along Sloping Complex Coastal Aquifer in Presence of Rainfall Infiltration
Publication: Journal of Hydrologic Engineering
Volume 26, Issue 12
Abstract
Coastal regions have the most challenging aquifer systems because of their geometry and the flow behavior of groundwater with tidal oscillations. Studies have focused on tide-induced groundwater fluctuations in horizontal aquifers whose base is extending under the sea by ignoring the fact that coastal beaches are sloping in nature. In this study, an unconfined coastal aquifer with an extending, sloping, impermeable base under the sea in the presence of tidal waves and exponential rainfall infiltration was modeled. An analytical solution of the given hydrodynamic model with boundary conditions was developed, which represents the similarity of water table heights at two points in the given spatial domain. Nonlinear Boussinesq equations were linearized to develop the model. The closed form of the analytical solution was obtained using various transform methods. The efficiency of the linearization method was determined using the alternating direction implicit scheme. Relative percentage difference was used to analyze the error statistics between analytical and numerical results. Further, temporal and spatial distributions of the water table were presented for different bed slopes, tidal patterns, and rainfall infiltrations. The derived solution provided the responses of the coastal aquifer with a sloping base extending under the sea to tidal oscillations in the presence of rainfall infiltration. The developed model is useful for field and experimental applications of coastal aquifer systems such as seawater intrusion studies and water clogging on the coastal interface owing to the deposition of silt, clay, and pollutant particles.
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Data Availability Statement
Some or 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
This study was supported by the Indian Institute of Technology (IIT), Bombay. The authors are thankful for this support, which allowed them to carry out this research. The authors sincerely thank the editor and four anonymous reviewers whose insightful and constructive comments and suggested revisions improved the organization and clarity of the paper.
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Journal of Hydrologic Engineering
Volume 26 • Issue 12 • December 2021
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© 2021 American Society of Civil Engineers.
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Received: Dec 23, 2020
Accepted: Jul 9, 2021
Published online: Sep 16, 2021
Published in print: Dec 1, 2021
Discussion open until: Feb 16, 2022
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