A new analytical solution for tide-induced groundwater fluctuations in an unconfined aquifer with a sloping beach

Kong, Jun (孔 俊), Song, Zhi-yao (宋志尧), Xin, Pei (辛 沛) and Shen, Cheng-ji (沈城吉) (2011) A new analytical solution for tide-induced groundwater fluctuations in an unconfined aquifer with a sloping beach. China Ocean Engineering, 25 3: 479-494. doi:10.1007/s13344-011-0039-0


Author Kong, Jun (孔 俊)
Song, Zhi-yao (宋志尧)
Xin, Pei (辛 沛)
Shen, Cheng-ji (沈城吉)
Title A new analytical solution for tide-induced groundwater fluctuations in an unconfined aquifer with a sloping beach
Journal name China Ocean Engineering   Check publisher's open access policy
ISSN 0890-5487
2191-8945
Publication date 2011-09-01
Sub-type Article (original research)
DOI 10.1007/s13344-011-0039-0
Open Access Status Not Open Access
Volume 25
Issue 3
Start page 479
End page 494
Total pages 16
Place of publication Beijing, China
Publisher Haiyang Chubanshe
Language eng
Formatted abstract
Deriving analytical solutions for tide-induced groundwater fluctuations in unconfined aquifers confronts two problems: (1) As the Boussinesq equation itself contains nonlinear terms, the “secular term” would be generated in derivation, thus making perturbation solution unable to be deduced to higher order; (2) for aquifers with sloping beaches, the perturbation parameter in existing analytical solution integrating the beach slope and hydrogeological property would be sometimes larger than 1. So the application of perturbation solutions is relatively limited. Furthermore, as the beach slope decreases, the error of analytical solution would gradually increase. Given that water table over-height would increase the aquifer thickness and speed up wave propagation, this paper integrates over-height into the perturbation parameter and adjusts boundary conditions to settle the problem of “secular term” and to derive a new high-order analytical solution for nonlinear Boussinesq equation in terms of sloping beaches. Results show that the new analytical solution is more reasonable, and the analytical accuracy is obviously improved in comparison with the existing analytical solution for a gentle slope. The new analytical solution provides a theoretical basis for analyzing the propagation characteristics (e.g., wave length and over-height variation) of tide-induced groundwater wave in unconfined aquifers, particularly those with sloping beaches.
Keyword Tide
Groundwater
Analytical solution
Over-height
Perturbation method
Water-table fluctuations
Nonlinear diffusion
Flow
Dynamics
Model
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Civil Engineering Publications
Official 2012 Collection
 
Versions
Version Filter Type
Citation counts: TR Web of Science Citation Count  Cited 4 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 5 times in Scopus Article | Citations
Google Scholar Search Google Scholar
Created: Sun, 18 Sep 2011, 10:18:30 EST by System User on behalf of School of Civil Engineering