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Assessment of the Instantaneous Unit Hydrograph Derived From the Theory of Topologically Random Networks
Author(s) -
Karlinger M. R.,
Troutman B. M.
Publication year - 1985
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr021i011p01693
Subject(s) - hydrograph , topology (electrical circuits) , mathematics , weibull distribution , constant (computer programming) , combinatorics , statistics , computer science , geography , drainage basin , cartography , programming language
An instantaneous unit hydrograph (iuh) based on the theory of topologically random networks (topological iuh) is evaluated in terms of sets of basin characteristics and hydraulic parameters. Hydrographs were computed using two linear routing methods for each of two drainage basins in the southeastern United States and are the basis of comparison for the topological iuh's. Elements in the sets of basin characteristics for the topological iuh's are the number of first‐order streams only, ( N ), or the nuber of sources together with the number of channel links in the topological diameter ( N, D ); the hydraulic parameters are values of the celerity and diffusivity constant. Sensitivity analyses indicate that the mean celerity of the internal links in the network is the critical hydraulic parameter for determining the shape of the topological iuh, while the diffusivity constant has minimal effect on the topological iuh. Asymptotic results (source‐only) indicate the number of sources need not be large to approximate the topological iuh with the Weibull probability density function.