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Solving the Boussinesq equation using solutions of the Blasius equation
Author(s) -
Hogarth W. L.,
Parlange J. Y.
Publication year - 1999
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/1998wr900082
Subject(s) - mathematics , mathematical analysis , drawdown (hydrology) , geology , geotechnical engineering , groundwater , aquifer
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.