Title

Closed-Form Theoretical Solution for Finite-Depth Seepage below Flat Apron with Equal End Cutoffs and a Downstream Step

Authors

Authors

A. K. Jain;L. N. Reddi

Comments

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Abbreviated Journal Title

J. Hydrol. Eng.

Keywords

Conformal mapping; Flat apron; Cutoff; Seepage; Uplift pressure; Exit; gradient; Step; DESIGN; WEIR; Engineering, Civil; Environmental Sciences; Water Resources

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. DOI: 10.1061/(ASCE)HE.1943-5584.0000583. (C) 2012 American Society of Civil Engineers.

Journal Title

Journal of Hydrologic Engineering

Volume

17

Issue/Number

12

Publication Date

1-1-2012

Document Type

Article

Language

English

First Page

1358

Last Page

1367

WOS Identifier

WOS:000312714000008

ISSN

1084-0699

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