The timing of runoff response in design flood analysis

This study presents an investigation of the time to peak of unit response functions for design flood studies. It is based on an empirical analysis of observed rainfall–runoff data for 49 basins in the UK and explores the relationship between unit response time to peak (t_p) and flood peak magnitude (Q_p). The results show that t_p varies significantly between events but suggest a systematic relationship between t_p and Q_p. The relationships which have been developed suggest that t_p decreases with flood magnitude and approaches to an asymptotic value for very large values of Q_p. These findings confirm numerous physical and field investigations and also support the reduction in response time for probable maximum flood (PMF) recommended in the Soil Conservation Services method, the Flood Studies Report method and the Flood Estimation Handbook. The findings also suggest that t_p should be modified in unit hydrograph methods of design flood analysis for return periods that differ from those used in deriving unit hydrographs. A simple correction curve has been developed for adjusting t_p according to the design flood return period. Copyright © 2000 John Wiley & Sons, Ltd.