✦ LIBER ✦

A simple model of hillslope response for overland flow generation

✍ Scribed by Professor Carmelo Agnese; Giorgio Baiamonte; Cecilia Corrao

Publisher: John Wiley and Sons
Year: 2001
Tongue: English
Weight: 345 KB
Volume: 15
Category: Article
ISSN: 0885-6087
DOI: 10.1002/hyp.182

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

This paper deals with the derivation of the hydrological response of a hillslope on the assumption of quick runoff by surface runoff generation. By using the simple non‐linear storage based model, first proposed by Horton, an analytical solution of the overland flow equations over a plane hillslope was derived. This solution establishes a generalization for different flow regimes of Horton's original solution, which is valid for the transitional flow regime only. The solution proposed was compared successfully with that of Horton and, for the turbulent flow regime, to the one derived from kinematic wave theory. This solution can be applied easily to both stationary and non‐stationary rainfall excess events. An analytical solution for the instantaneous response function (IRF) was also derived. Finally, simple expressions to compute peak and time to peak of IRF are proposed. Copyright © 2001 John Wiley & Sons, Ltd.

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