New approximation for free surface flow of groundwater: capillarity correction

Jeng, DS, Seymour, BR, Barry, DA, Li, L and Parlange, JY (2005) New approximation for free surface flow of groundwater: capillarity correction. Advances In Water Resources, 28 10: 1032-1039. doi:10.1016/j.advwatres.2004.05.012


Author Jeng, DS
Seymour, BR
Barry, DA
Li, L
Parlange, JY
Title New approximation for free surface flow of groundwater: capillarity correction
Journal name Advances In Water Resources   Check publisher's open access policy
ISSN 0309-1708
Publication date 2005
Sub-type Article (original research)
DOI 10.1016/j.advwatres.2004.05.012
Volume 28
Issue 10
Start page 1032
End page 1039
Total pages 8
Place of publication Oxford
Publisher Elsevier Sci Ltd
Collection year 2005
Language eng
Subject C1
Abstract An existing capillarity correction for free surface groundwater flow as modelled by the Boussinesq equation is re-investigated. Existing solutions, based on the shallow flow expansion, have considered only the zeroth-order approximation. Here, a second-order capillarity correction to tide-induced watertable fluctuations in a coastal aquifer adjacent to a sloping beach is derived. A new definition of the capillarity correction is proposed for small capillary fringes, and a simplified solution is derived. Comparisons of the two models show that the simplified model can be used in most cases. The significant effects of higher-order capillarity corrections on tidal fluctuations in a sloping beach are also demonstrated. (c) 2004 Elsevier Ltd. All rights reserved.
Keyword Hydraulic Conductivity
Sloping Beach
Capillary Fringe
Tidal Forcing
Shallow Flow Expansion
Simplified Approximation
Water Resources
Water-table Fluctuations
Beaches
Dynamics
Q-Index Code C1

 
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Created: Wed, 15 Aug 2007, 05:47:48 EST