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Water-table response to tidal forcing at sloping beaches

Melanie E. Roberts
M.G. Trefry
N Fowkes
Andrew P. Bassom
Paul Abbott
Organization: University of Western Australia
Department: Physics
URL: http://www.physics.uwa.edu.au/~paul
Journal / Anthology

Journal of Engineering Mathematics
Year: 2011
Volume: 69
Issue: 4
Page range: 291-311

The groundwater response to tidal forcing is described by Laplace’s equation for the hydraulic head subject to appropriate boundary conditions. A previous solution to this problem based on long-wave and shallowaquifer approximations is extended to higher-order and a general solution scheme, automated in Mathematica, is described. The solution can, in principle, be extended to arbitrary order, but is restricted to a detailed study of the properties of the solution when truncated to sixth-order. These results show that the mean water table height increases throughout the aquifer to a steady inland height elevated above mean sea level. The phase shift of the fluctuations and the asymmetry of the pore drainage process are investigated using Fourier analysis.