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| Titel |
Geomorphological and hydrological implications of a given hydraulic geometry relationship, beyond the power-law |
| VerfasserIn |
JongChun Kim, Kyungrock Paik |
| Konferenz |
EGU General Assembly 2015
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| Medientyp |
Artikel
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| Sprache |
Englisch
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| Digitales Dokument |
PDF |
| Erschienen |
In: GRA - Volume 17 (2015) |
| Datensatznummer |
250108058
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| Publikation (Nr.) |
 EGU/EGU2015-7789.pdf |
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| Zusammenfassung |
| Channel geometry and hydraulic characteristics of a given river network, i.e., spatio-temporal
variability of width, depth, and velocity, can be described as power functional relationships of
flow discharge, named ‘hydraulic geometry’ (Leopold and Maddock, 1953). Many studies
have focused on the implication of this power-law itself, i.e., self-similarity, and
accordingly its exponents. Coefficients of the power functional relationships, on
the contrary, have received little attention. They are often regarded as empirical
constants, determined by ‘best fitting’ to the power-law without significant scientific
implications.
Here, we investigate and claim that power-law coefficients of hydraulic geometry
relationships carry vital information of a given river system. We approach the given problem
on the basis of ‘basin hydraulic geometry’ formulation (Stall and Fok, 1968) which
decomposes power-law coefficients into more elementary constants. The linkage between
classical power-law relationship (Leopold and Maddock, 1953) and the basin hydraulic
geometry is provided by Paik and Kumar (2004). On the basis of this earlier study, it can
be shown that coefficients and exponents of power-law hydraulic geometry are
interrelated. In this sense, we argue that more elementary constants that constitute both
exponents and coefficients carry important messages. In this presentation, we will
demonstrate how these elementary constants vary over a wide range of catchments
provided from Stall and Fok (1968) and Stall and Yang (1970). Findings of this study
can provide new insights on fundamental understanding about hydraulic geometry
relationships. Further, we expect that this understanding can help interpretation of hydraulic
geometry relationship in the context of flood propagation through a river system as
well.
Keywords: Hydraulic geometry; Power-law; River network
References
Leopold, L. B., & Maddock, T. J. (1953). The hydraulic geometry of stream channels and
some physiographic implications. U. S. Geological Survey Professional Paper,
252.
Paik, K., & Kumar, P. (2004). Hydraulic geometry and the nonlinearity of the network
instantaneous response, Water Resource Research, 40, W03602.
Stall, J. B., & Fok, Y. S. (1968). Hydraulic geometry of Illinois streams. University of
Illinois Water Resources Center Research Report, 15.
Stall, J. B., & Yang, C. T. (1970). Hydraulic geometry of 12 selected stream systems of
the United States. University of Illinois Water Resources Center Research Report, 32. |
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