《Journal of Hydrologic Engineering 》杂志刊登

“防渗面板下具有等截水墙和下游跌水阶的有限深度渗流的封闭理论解”

作  者：Arun K. Jain, Lakshmi N. Reddi

刊  物：《Journal of Hydrologic Engineering》，17卷第12期，1358-1367页

关键词：保角映射；防渗面板；截水墙；渗流；扬压力；出逸坡降；阶地

摘  要：本文给出了具有等截水墙的且终止在下游面的水工结构的水平防渗面板下稳定渗流的封闭理论解，其中下游面是建立在有限深度的透水介质之上的。该封闭理论解是利用Schwarz-Christoffel变换通过两个步骤得到的。该数值解为包含了椭圆积分的隐式方程，并给出了关键点的扬压力、渗流量因子、出逸坡降因子。其中这些渗流特征已经在设计图中给出。

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

Authors: Arun K. Jain, Lakshmi N. Reddi

Journal: Journal of Hydrologic Engineering , Volume 17, Issue 12 (December 2012), 1358–1367

Key words: Conformal mapping, Flat apron, Cutoff, Seepage, Uplift pressure, Exit gradient, Step

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.

原文链接：http://ascelibrary.org/doi/abs/10.1061/%28ASCE%29HE.1943-5584.0000583