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Water-table response to tidal forcing at sloping beaches


Roberts, ME and Trefry, MG and Fowkes, N and Bassom, AP and Abbott, PC, Water-table response to tidal forcing at sloping beaches, Journal of Engineering Mathematics, 69, (4) pp. 291-311. ISSN 0022-0833 (2011) [Refereed Article]

Copyright Statement

Copyright 2010 Springer Science+Business Media B.V.

DOI: doi:10.1007/s10665-010-9407-7


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 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.

Item Details

Item Type:Refereed Article
Keywords:groundwater, phreatic aquifer, tidal forcing, sloping beach
Research Division:Mathematical Sciences
Research Group:Applied mathematics
Research Field:Theoretical and applied mechanics
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the mathematical sciences
UTAS Author:Bassom, AP (Professor Andrew Bassom)
ID Code:105768
Year Published:2011
Web of Science® Times Cited:7
Deposited By:Mathematics and Physics
Deposited On:2016-01-14
Last Modified:2017-11-01

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