H. Bendjoudi et al., MULTIFRACTAL POINT-OF-VIEW ON RAINFALL INTENSITY-DURATION-FREQUENCY CURVES, Comptes rendus de l'Academie des sciences. Serie II. Sciences de la terre et des planetes, 325(5), 1997, pp. 323-326
Intensity-duration-frequency curves, which are very useful for many de
sign applications, are generally empirically drawn from point rainfall
time series. Such point time series can also be analyzed from a multi
fractal point of view and universal parameters characterizing the seri
es can be estimated from empirical data. We derived from the scale inv
ariant relationship of multifractals the formal equations of intensity
-duration-frequency curves, which depend on only a small number of the
series multifractal parameters. A rational basis is thus given to the
se curves, which can be related to some objective parameters.