Solving the Boussinesq Equation Using Solutions of the Blasius Equation

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Author(s)
Hogarth, WL
Parlange, JY
Griffith University Author(s)
Year published
1999
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The response of a water table to a sudden drawdown is examined assuming that it can be described by the Boussinesq equation. An approximate analytical solution of this equation is given. This solution is based on significant improvements to previous equations obtained by Heaslet and Alksne [1961]. In comparison with an “exact” numerical solution the new approximate solution gives a maximum error of 0.02%. Such an analytical result is not only of theoretical interest but could be used as a standard reference, for instance, to validate other analytical or numerical schemes.The response of a water table to a sudden drawdown is examined assuming that it can be described by the Boussinesq equation. An approximate analytical solution of this equation is given. This solution is based on significant improvements to previous equations obtained by Heaslet and Alksne [1961]. In comparison with an “exact” numerical solution the new approximate solution gives a maximum error of 0.02%. Such an analytical result is not only of theoretical interest but could be used as a standard reference, for instance, to validate other analytical or numerical schemes.
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Journal Title
Water Resources Research
Volume
35
Issue
3
Copyright Statement
© 1999 American Geophysical Union. The attached file is reproduced here in accordance with the copyright policy of the publisher. Please refer to the journal's website for access to the definitive, published version.
Subject
Physical geography and environmental geoscience
Civil engineering
Environmental engineering