QUANTIFICATION OF TIDAL WATERTABLE OVERHEIGHT DUE TO THE SLOPING BEACH IN UNCONFINED AQUIFERS
No. 32 (2010), Swash, Nearshore Currents, and Long Waves
No. 32 (2010)

QUANTIFICATION OF TIDAL WATERTABLE OVERHEIGHT DUE TO THE SLOPING BEACH IN UNCONFINED AQUIFERS

Swash, Nearshore Currents, and Long Waves
https://doi.org/10.9753/icce.v32.currents.33
Published 2011-02-01
Zhiyao Song
Nanjing Normal University
Zhuo Zhang
Hohai University
Ling Li
The University of Queensland
Proceedings of the 32nd International Conference
PDF

Keywords

Coastal aquifer
Tidal watertable
Boussinesq equation
logarithmic matching

How to Cite

Song, Z., Zhang, Z., & Li, L. (2011). QUANTIFICATION OF TIDAL WATERTABLE OVERHEIGHT DUE TO THE SLOPING BEACH IN UNCONFINED AQUIFERS. Coastal Engineering Proceedings, 1(32), currents.33. https://doi.org/10.9753/icce.v32.currents.33
ACM ACS APA ABNT Chicago Harvard IEEE MLA Turabian Vancouver

Download Citation

Endnote/Zotero/Mendeley (RIS) BibTeX

Abstract

Based on a liberalized one-dimensional Boussinesq model and the previous study results, this paper provides two experience solutions to quantify the tidal groundwater overheight behind arbitrary sloping beaches. One solution is obtained with an asymptotic matching method advanced by Guo, and the other solution is origined by the analytical solution as perturbation parameter less than unity, the errors of both solutions compared with numerical solution are small and acceptive for the application.
https://doi.org/10.9753/icce.v32.currents.33
PDF

References

Church, T. M., 1996, A groundwater route for the water cycle. Nature, 380, 579-580.http://dx.doi.org/10.1038/380579a0

Guo, J., 2002, Logarithmic matching and its applications in computational hydraulics and sediment transport. J. Hydr. Res., 40(5), 555-565.http://dx.doi.org/10.1080/00221680209499900

Li, L., D. A. Barry, F. Stagnitti, J.-Y. Parlange, and D.-S. Jeng, 2000, Beach water table fluctuations due to spring-neap tides: moving boundary effects. Adv Water Resour, 23, 817-824.http://dx.doi.org/10.1016/S0309-1708(00)00017-8

Moore, W. S., 1996, Large groundwater inputs to coastal waters revealed by 226Ra enrichment. Nature, 380, 612-614.http://dx.doi.org/10.1038/380612a0

Nielsen, P., 1990, Tidal dynamics of the water table in beaches. Water Resour. Res., 26, 2127-2134.

Parlange, J.-Y., F. Stagnitti, J. L. Starr and R. D. Braddock, 1984, Free-surface flow in porous media and periodic solution of the shallow-flow approximation. J. Hydrol., 70, 251-263. http://dx.doi.org/10.1016/0022-1694(84)90125-2

Philip, J. R., 1973, Periodic nonlinear diffusion: An integral relation and its physical consequences. Aust. J. Phys., 26, 513-519.http://dx.doi.org/10.1071/PH730513

Roberts, M. E., 2008,Groundwater response to tidal forcing. ANZIAM J. 50(CATA2008), C640- C653.

Song,Z. Y., L. Li, P. Nielsen and D. Lockington, 2006, Quantification of tidal watertable overheight in an unconfined coastal aquifer. J. Eng. Math., 56, 437-444.http://dx.doi.org/10.1007/s10665-006-9052-3

Song, Z. Y., L. Li, J. Kong and H. G. Zhang, 2007, A new analytical solution of tidal water table fluctuations in a coastal unconfined aquifer. J. Hydrol., 340,256-260.http://dx.doi.org/10.1016/j.jhydrol.2007.04.015

Teo, H. T., D. S. Jeng, B. R. Seymour, D. A. Barry and L. Li, 2003, A new analytical solution for water table fluctuations in coastal aquifers with sloping beaches. Adv Water Resour, 26, 1239-1247.http://dx.doi.org/10.1016/j.advwatres.2003.08.004

Authors retain copyright and grant the Proceedings right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this Proceedings.