Steepness expansion for free surface flows in coastal aquifers

Jeng, D. S., Seymour, B. R., Barry, D. A., Parlange, J. Y., Lockington, D. A. and Li, L. (2005) Steepness expansion for free surface flows in coastal aquifers. Journal Of Hydrology, 309 1-4: 85-92. doi:10.1016/j.jhydrol.2004.11.013

Author Jeng, D. S.
Seymour, B. R.
Barry, D. A.
Parlange, J. Y.
Lockington, D. A.
Li, L.
Title Steepness expansion for free surface flows in coastal aquifers
Journal name Journal Of Hydrology   Check publisher's open access policy
ISSN 0022-1694
Publication date 2005
Sub-type Article (original research)
DOI 10.1016/j.jhydrol.2004.11.013
Volume 309
Issue 1-4
Start page 85
End page 92
Total pages 8
Editor M Lavant Kavas
Place of publication Amsterdam
Publisher Elsevier Science Bv
Collection year 2005
Language eng
Subject C1
291101 Environmental Engineering Modelling
770402 Land and water management
Abstract Free surface flow of groundwater in aquifers has been studied since the early 1960s. Previous investigations have been based on the Boussinesq equation, derived from the non-linear kinematic boundary condition. In fact, the Boussinesq equation is the zeroth-order equation in the shallow-water expansion. A key assumption in this expansion is that the mean thickness of the aquifer is small compared with a reference length, normally taken to be the linear decay length. In this study, we re-examine the expansion scheme for free surface groundwater flows, and propose a new expansion wherein the shallow-water assumption is replaced by a steepness assumption. A comparison with experimental data shows that the new model provides a better prediction of water table levels than the conventional shallow-water expansion. The applicable ranges of the two expansions are exhibited. (c) 2004 Elsevier B.V. All rights reserved.
Keyword Engineering, Civil
Geosciences, Multidisciplinary
Water Resources
Shallow Water Expansion
Steepness Expansion
Coastal Aquifers
Groundwater Flow
Water-table Fluctuations
Unconfined Aquifer
Q-Index Code C1

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Created: Wed, 15 Aug 2007, 06:03:11 EST