A note on the propagation of water table waves: dual length scale considerations

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Title A note on the propagation of water table waves: dual length scale considerations
Author Cartwright, Nicholas Brian; Nielsen, Peter; Callaghan, David P; Li, Ling
Book Title Groundwater: Modelling, Management and Contamination
Editor Luka F. König and Jonas L. Weiss
Year Published 2009
Place of publication United States
Publisher Nova Science Publishers
Abstract The problem of a coastal aquifers forced by oscillations in an adjacent sea and/or estuary across a sloping boundary has recently received considerable theoretical attention. Despite such a wealth of mathematical advancements, stringent testing of the limitations of these models has yet to be undertaken. In all of the currently available analytical solutions it has been assumed that a single length scale is sufficient to account for both the amplitude decay rate and the rate of increase in phase lag (the wave speed) as the water table wave propagates landward. All of the available field and laboratory data however indicate that this is not the case. That is, the real part of the water table wave number (the amplitude decay rate) is not equal to the imaginary part (the rate of increase in the phase lag). In this chapter, the detailed laboratory measurements of Cartwright et al. [2004] are used to highlight the limitation of assuming a single length scale in these mathematical models. In a step towards overcoming this limitation, a new approximate analytical solution is derived which allows for two different length scales as observed in the available data. In the absence of the ability to accurately predict the water table wave number using basic aquifer parameters, all of the solutions are applied to the data using water table wave numbers estimated from the data. Accurately predicting the water table wave number based on measurable aquifer parameters remains a challenge.
Peer Reviewed Yes
Published Yes
Publisher URI https://www.novapublishers.com/catalog/
Alternative URI https://www.novapublishers.com/catalog/product_info.php?products_id=7528
Copyright Statement Copyright 2009 Nova Science Publishers Inc.. Use hypertext link for access to the publisher's website. The attached file is reproduced here in accordance with the copyright policy of the publisher.
Chapter Number 13
Page from 351
Page to 360
ISBN 978-1-60456-832-5
Date Accessioned 2009-06-16
Date Available 2010-07-06T07:01:22Z
Language en_AU
Research Centre Centre for Infrastructure Engineering and Management
Faculty Faculty of Science, Environment, Engineering and Technology
Subject Earth Sciences
URI http://hdl.handle.net/10072/28366
Publication Type Book Chapters
Publication Type Code b1

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