Tides as phase-modulated waves inducing periodic groundwater flow in coastal aquifers overlaying a sloping impervious base

Su, Ninghu, Liu, Fawang, and Anh, Vo (2003) Tides as phase-modulated waves inducing periodic groundwater flow in coastal aquifers overlaying a sloping impervious base. Environmental Modelling & Software, 18 (10). pp. 937-942.

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Abstract

This paper presents procedures for analysing the interactions between tidal waves and coastal aquifers overlaying a sloping impervious bed, using Boussinesq equation and wave equation. Fourier series solutions of a linearised Boussinesq equation are presented subject to a periodic boundary condition (BC). The periodic BC is a phase-modulated periodic solution of the wave equation which has been shown to satisfactorily simulate uneven twin peaks of semi-diurnal tides as observed in a study area on the east coast of Queensland, Australia. Numerical analyses show that the Fourier series solutions of Boussinesq equation subject to periodic BCs reveal two important features of the tidal waves. First, the tidal waves damp towards landward, and second, the half amplitude of the tide above the mean sea level is greater than that below it. While the first feature is clearly expected, the second feature is physically more meaningful and important, and is confirmed by the field data.

Item ID: 8604
Item Type: Article (Refereed Research - C1)
Keywords: tides; aquifers; phase-modulation; Boussinesq equation; periodic solution
ISSN: 1873-6726
Date Deposited: 26 Feb 2010 04:11
FoR Codes: 04 EARTH SCIENCES > 0404 Geophysics > 040403 Geophysical Fluid Dynamics @ 50%
05 ENVIRONMENTAL SCIENCES > 0503 Soil Sciences > 050305 Soil Physics @ 50%
SEO Codes: 96 ENVIRONMENT > 9609 Land and Water Management > 960902 Coastal and Estuarine Land Management @ 50%
96 ENVIRONMENT > 9609 Land and Water Management > 960903 Coastal and Estuarine Water Management @ 50%
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