A one-dimensional model is presented to predict debris-flow runouts. The mo
del is based on shallow water type assumptions. The fluid is assumed to be
homogeneous and the original bed of the flow domain to be unerodible. The f
luid is characterized by a rheology of Bingham type.
A numerical tool able to cope with the nature of debris flows has been work
ed out. It represents an extension of a second order accurate and conservat
ive method of Godunov type. Special care has been devoted to the influence
of the source terms and of the geometrical representation of the natural cr
oss sections, which play a fundamental role.
The application concerns a monitored event in the Dolomites in Italy, where
field analyses allowed characterization of the behavior of solid-liquid mi
xture as a yield stress material. The comparison between numerical simulati
ons and field observations highlights the impossibility of representing all
phases of the flow with constant values of the rheological parameters. Nev
ertheless the results show that it is possible to separately represent the
phase of the flow in the upstream reach and the phase of the deposition in
the alluvial fan, with a good agreement with field observations. (C) 2000 E
lsevier Science Ltd. All rights reserved.