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Drainage of Groundwater Resting on a Sloping Bed

Drainage of Groundwater Resting on a Sloping Bed The Dupuit‐Forchheimer convention for horizontal impermeable beds is that the gradient of hydraulic potential is synonymous with the absolute slope of the water table. When the impermeable bed is sloping, however, the gradient is normally better approximated by dZ/dl, where l is the distance measured along the bed and Z is the height of the intersection with the water table of the perpendicular through l. Thus the solution of the resulting flow equation for drainage to a transverse ditch in the absence of surface recharge provides a family of branched curves for different slopes, instead of the single branched curve currently accepted. When there is surface recharge and a system of parallel equidistant drains, there is no simple analytic solution. However, numerical solutions show that the water table peak, as compared with a horizontal bed, is shifted downhill; its height is often not greatly affected. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Water Resources Research Wiley

Drainage of Groundwater Resting on a Sloping Bed

Water Resources Research , Volume 7 (5) – Oct 1, 1971

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References (7)

Publisher
Wiley
Copyright
Copyright © 1971 by the American Geophysical Union.
ISSN
0043-1397
eISSN
1944-7973
DOI
10.1029/WR007i005p01256
Publisher site
See Article on Publisher Site

Abstract

The Dupuit‐Forchheimer convention for horizontal impermeable beds is that the gradient of hydraulic potential is synonymous with the absolute slope of the water table. When the impermeable bed is sloping, however, the gradient is normally better approximated by dZ/dl, where l is the distance measured along the bed and Z is the height of the intersection with the water table of the perpendicular through l. Thus the solution of the resulting flow equation for drainage to a transverse ditch in the absence of surface recharge provides a family of branched curves for different slopes, instead of the single branched curve currently accepted. When there is surface recharge and a system of parallel equidistant drains, there is no simple analytic solution. However, numerical solutions show that the water table peak, as compared with a horizontal bed, is shifted downhill; its height is often not greatly affected.

Journal

Water Resources ResearchWiley

Published: Oct 1, 1971

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