Hydraulic geometry and the nonlinearity of the network instantaneous response

Kyungrock Paik, Praveen Kumar

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

We postulate that the spatial variability in flow velocity in a basin, arising from the systematic downstream variation of celerity, may explain the observed nonlinear rainfall-runoff relationships. This is based on the argument that different rainfall excess rates will produce different velocity fields in a basin due to the nonlinear relation between velocity and flow. In particular, we show that if the mean velocity V varies with flow Q as V ∝ Q m, then the time to peak tp and the peak f(tp) of the network instantaneous response function (IRF) vary as tp ∝ ie -m and f(tp) ∝ ie +m, where ie is the rainfall excess rate.

Original languageEnglish
JournalWater Resources Research
Volume40
Issue number3
Publication statusPublished - 2004 Mar 1
Externally publishedYes

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Keywords

  • Hydraulic geometry
  • Instantaneous response function
  • Kinematic dispersion
  • Nonlinearity

ASJC Scopus subject areas

  • Environmental Science(all)
  • Environmental Chemistry
  • Aquatic Science
  • Water Science and Technology

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