Engelund’s Two-Dimensional Drainage Equation for a Toe-Drain and the Dupuit-Forchheimer Drainage Equation for a Ditch: A Coincidental Match
Publication: Journal of Irrigation and Drainage Engineering
Volume 138, Issue 3
Abstract
Water-table heights attributable to steady uniform surface accretion rates in drained lands overlying a horizontal impermeable bed are given analytically by Engelund’s solution for toe-drains and by the approximate Dupuit-Forchheimer analysis for ditch drains. Both give the same water tables, although for different types of drain, when the spacing of the ditches in the latter is taken to be that in which the water table is drawn down to the level of the toe-drain in Engelund’s derivation. This fortuitous match also occurs in anisotropic soils when the horizontal hydraulic conductivity component is used in the formulae with the drain spacing dependent on the anisotropy factor. For soils with an infinite anisotropy factor, the Dupuit-Forchheimer analysis is exact so that the match is no longer fortuitous.
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Information & Authors
Information
Published In
Journal of Irrigation and Drainage Engineering
Volume 138 • Issue 3 • March 2012
Pages: 282 - 284
Copyright
© 2012 American Society of Civil Engineers.
History
Received: Dec 6, 2010
Accepted: Jun 9, 2011
Published online: Jun 11, 2011
Published in print: Mar 1, 2012
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