Distributions of Instantaneous Unit Hydrograph Peak Characteristics for Small River Networks

Authors: BEYHAN OĞUZ, BİHRAT ÖNÖZ

Abstract: Diameter-conditioned distribution functions of peak ratio (``peak''/diameter) and position ratio (``time to peak''/diameter) of topological width functions of small networks were obtained analytically. Here diameter is also the main stream length of the network. This is done by using translation routing, which is the simplest case of linear routing schemes. A new concept, ``junction configuration'', which is a characteristic property for the IUH (instantaneous unit hydrograph) of the network, is introduced. Another scheme combining the concepts of diffusion routing and width function was applied, and diameter-conditioned distribution functions of dimensionless peaks and dimensionless positions of the IUH were obtained analytically. The results of translation routing and diffusion routing approaches were compared and the results of this study were compared with those of existing literature.

Keywords: Instantaneous unit hydrograph, river network, width function, translation routing, diffusion routing.

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