Brief communication: Possible explanation of the values of Hack's drainage basin, river length scaling exponent
Percolation theory can be used to find water flow paths of least resistance. Application of percolation theory to drainage networks allows identification of the range of exponent values that describe the tortuosity of rivers in real river networks, which is then used to generate the observed scaling...
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Format: | Article |
Language: | English |
Published: |
Copernicus Publications
2016-04-01
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Series: | Nonlinear Processes in Geophysics |
Online Access: | http://www.nonlin-processes-geophys.net/23/91/2016/npg-23-91-2016.pdf |
Summary: | Percolation theory can be used to find water flow paths of least resistance.
Application of percolation theory to drainage networks allows identification
of the range of exponent values that describe the tortuosity of rivers in
real river networks, which is then used to generate the observed scaling
between drainage basin area and channel length, a relationship known as
Hack's law. Such a theoretical basis for Hack's law may allow interpretation
of the range of exponent values based on an assessment of the heterogeneity
of the substrate. |
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ISSN: | 1023-5809 1607-7946 |