Paddy and Water Environment

, Volume 2, Issue 2, pp 83–90 | Cite as

A study to determine an equation of enveloping curve for regional flood peaks by maximum rainfall data

  • Ryouichi Ohnishi
  • Takashi Kato
  • Masayuki Imaizumi
  • Hajime Tanji
Technical Report


In this paper, Creager’s equation and Group’s equation are algebraically examined to determine an equation of an enveloping curve for regional flood peaks from the viewpoint of the curve profile. The applicability of a small drainage area with little observed data on flood peak discharge was examined in comparison to specific flood peak discharge calculated by a rational formula using data of maximum rainfall. In the algebraical consideration, the Creager’s equation had an extreme value at a drainage area A=1.0 km2, and the specific flood peak discharge became a maximum. Flood peak discharge calculated by Group’s equation had an extreme value at a drainage area A=6,568 km2, and it became a maximum. Except for Hokkaido, in catchment areas not exceeding 1,178 km2, Group’s curve q K was closer to the curve q DAD of specific flood discharge than Creager’s curve qc. From the above research results, the Group’s equation is applicability better than the Creager’s equation, as the drainage area A is 1,178 km2 or less.


Creager’s equation Depth area duration analysis Design flood discharge Group’s equation Maximum envelope curve of specific peak discharges 



We thank Dr. Hideo Kuwabara for allowing us to use precipitation data for this study. We also thank Dr. Akihiro Nagai, Dr. Mutsumi Kadoya, Dr. Masaru Toyoda, and Dr. Hironobu Sugiyama for providing useful data and advice. We are also grateful to Mr. Hideaki Tanaka for providing data.


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Copyright information

© Springer-Verlag 2004

Authors and Affiliations

  • Ryouichi Ohnishi
    • 1
  • Takashi Kato
    • 1
  • Masayuki Imaizumi
    • 1
  • Hajime Tanji
    • 1
  1. 1.National Institute for Rural EngineeringIbaraki 305-8609Japan

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