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Title of Journal: J Eng Math

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Abbravation: Journal of Engineering Mathematics

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Springer Netherlands

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DOI

10.1007/s11012-015-0220-2

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1573-2703

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Quantification of tidal watertable overheight in a

Authors: Zhiyao Song Ling Li Peter Nielsen David Lockington
Publish Date: 2006/09/13
Volume: 56, Issue: 4, Pages: 437-444
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Abstract

Tidal watertable fluctuations in a coastal aquifer are driven by tides on a moving boundary that varies with the beach slope Based on a linearised onedimensional Boussinesq model tidal signals in the aquifer are analysed focusing on the watertable overheight induced by the movingboundary condition The watertable overheight is an important parameter related to the estimation of submarine groundwater discharge SGD This note presents a new analytical approach to solving the Boussinesq equation with the Fourierseries expansion Moreover it is proved that the asymptote of watertable overheight normalised by the tidal amplitude is unit as a controlling parameter varepsilon 0 combining the aquifer properties and tidal frequency approaches infinity Physically this condition represents beaches of very low drainage capacity

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