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Water-table response to tidal forcing at sloping beaches
journal contribution
posted on 2023-05-18, 15:50 authored by Roberts, ME, Trefry, MG, Fowkes, N, Andrew BassomAndrew Bassom, Abbott, PCThe 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 shallow-aquifer 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.
History
Publication title
Journal of Engineering MathematicsVolume
69Issue
4Pagination
291-311ISSN
0022-0833Department/School
School of Natural SciencesPublisher
Kluwer Academic PublPlace of publication
Van Godewijckstraat 30, Dordrecht, Netherlands, 3311 GzRights statement
Copyright 2010 Springer Science+Business Media B.V.Repository Status
- Restricted