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
Copyright Status
Unknown
Socpus ID
84876849456 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/84876849456
STARS Citation
Jain, Arun K. and Reddi, Lakshmi N., "Closed-Form Theoretical Solution For Finite-Depth Seepage Below Flat Apron With Equal End Cutoffs And A Downstream Step" (2012). Scopus Export 2010-2014. 4038.
https://stars.library.ucf.edu/scopus2010/4038