Overland flow generation on hillslopes of complex topography: Analytical Solutions

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27 Citazioni (Scopus)


The analytical solution of the overland flow equations developed by Agnese et al. (2001; Hydrological Processes 15:3225–3238) for rectangular straight hillslopes was extended to convergent and divergent surfaces and to concave and convexprofiles. Towards this aim, the conical convergent and divergent surfaces are approximated by a trapezoidal shape, and theoverland flow is assumed to be always one-dimensional. A simple ‘shape factor’ accounting for both planform geometryand profile shape was introduced: for each planform geometry, a brachistochrone profile was obtained by minimizing afunctional containing a slope function of the profile. Minima shape factors are associated with brachistochrones; interestingly,brachistochrones associated with rectangular surfaces have a simple power-law form. For a fixed profile shape, the rapidness ofoverland flow increases with the degree of divergence; for a fixed planform geometry, however, the overland flow associatedwith convex profiles is more rapid than that associated with concave profiles. An extended analytical solution is also proposedfor the instantaneous response function.
Lingua originaleEnglish
pagine (da-a)1308-1317
Numero di pagine10
RivistaHydrological Processes
Stato di pubblicazionePublished - 2007

All Science Journal Classification (ASJC) codes

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