Closed-Form Theoretical Solution for Finite-Depth Seepage below Flat Apron with Equal End Cutoffs and a Downstream Step
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Volume 17, Issue 12
Abstract
The paper gives a closed-form theoretical solution for the steady seepage below the flat horizontal impervious apron of a hydraulic structure with equal end cutoffs, with a step at the downstream end, founded on a pervious medium of finite depth. This is obtained by using Schwarz-Christoffel transformation in two stages. The numerical solution of the resulting implicit equations involving elliptic integrals gives the uplift pressures at key points, seepage discharge factor, and exit gradient factor in terms of nondimensional floor profile ratios. Design charts have been given for these seepage characteristics.
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Published In
Journal of Hydrologic Engineering
Volume 17 • Issue 12 • December 2012
Pages: 1358 - 1367
Copyright
© 2012 American Society of Civil Engineers.
History
Received: Jul 7, 2011
Accepted: Jan 9, 2012
Published online: Jan 12, 2012
Published in print: Dec 1, 2012
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