The new deterministic model H2U (from French ''Hydrogramme unitaire un
iversel'') is validated for two Mediterranean catchments, both in natu
ral conditions, in the south of France and in the very anthropic catch
ment of Paris-Orly airport. It starts from a description of the draina
ge network by means of a density function of the hydraulic lengths. Th
rough the mean water speed in the channels, this function is proved to
be the unit hydrograph, or transfer function of the catchment. Moreov
er, in some cases, the production function can be directly known, for
instance when the rain intensity is very high, or, if rain intensities
are rather low, when the impervious surface area ratio is known and c
an be considered as the effective rainfall/total rainfall ratio. Then,
the H2U model can give directly a good simulated curve of discharge,
without any calibration except for the estimation of the mean water sp
eed. The model can probably give good simulations in any situation pro
vided that the production function has been evaluated. Even better, it
can be used as the known kernel function in order to obtain the effec
tive rainfall, i.e. the production function, by deconvolution of the a
ctual hydrograph. (C) 1997 IAWQ. Published by Elsevier Science Ltd.