Title

Closed-Form Theoretical Solution For Finite-Depth Seepage Below Flat Apron With Equal End Cutoffs And A Downstream Step

Keywords

Conformal mapping; Cutoff; Exit gradient; Flat apron; Seepage; Step; Uplift pressure

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. © 2012 American Society of Civil Engineers.

Publication Date

12-1-2012

Publication Title

Journal of Hydrologic Engineering

Volume

17

Issue

12

Number of Pages

1358-1367

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1061/(ASCE)HE.1943-5584.0000583

Socpus ID

84876849456 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84876849456

This document is currently not available here.

Share

COinS