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A generalized analytical solution of groundwater head response to dual tide in a multilayered island leaky aquifer system
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  • Zhi-Xue Z'hao,
  • Yonghong Hao,
  • Tongke Wang,
  • T J Yeh,
  • Ming Zhang
Zhi-Xue Z'hao
Tianjin Normal University

Corresponding Author:[email protected]

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Yonghong Hao
Tianjin Normal University
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Tongke Wang
Tianjin Normal University
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T J Yeh
The University of Arizona
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Ming Zhang
National Institute of Advanced Industrial Science and Technology Tsukuba Center Tsukuba Central
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Abstract

The hydraulic properties of coastal aquifer systems are relevant to various hydrogeological, hydro-ecological and engineering problems. This study presents an analytical solution for predicting groundwater head fluctuations induced by dual-tide in multilayered island aquifer systems, consisting of an unconfined aquifer on the top and any number of leaky aquifers below. The solution was derived via the methods of matrix differential calculus and separation of variables. It is more general than any existing analytical solutions for the tidal pressure propagation since the new solution can consider multilayered aquifer systems along with the effects of leakage and aquifer length. Using this solution, we illustrated potential errors that may occur due to neglecting one or more vital factors affecting groundwater fluctuations. Besides, we articulated the groundwater response to the dual-tide in complex coastal aquifers. Considering that some thin semipermeable layers may be ignored in practical field investigation, we also demonstrated the effects due to simplification of aquifer layers. The results showed that with the increase in the number of overlapped leaky layers, the tidal propagation in the bottom part of multilayered aquifer system approaches that in a single confined aquifer with the same transmissivity and storage.
31 Aug 2021Submitted to Hydrological Processes
01 Sep 2021Submission Checks Completed
01 Sep 2021Assigned to Editor
03 Sep 2021Reviewer(s) Assigned
13 Nov 2021Review(s) Completed, Editorial Evaluation Pending
23 Nov 2021Editorial Decision: Revise Major
10 Jan 20221st Revision Received
11 Jan 2022Submission Checks Completed
11 Jan 2022Assigned to Editor
11 Jan 2022Reviewer(s) Assigned
08 Mar 2022Review(s) Completed, Editorial Evaluation Pending
10 Mar 2022Editorial Decision: Accept