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...

Full description

Bibliographic Details
Main Author: A. G. Hunt
Format: Article
Language:English
Published: Copernicus Publications 2016-04-01
Series:Nonlinear Processes in Geophysics
Online Access:http://www.nonlin-processes-geophys.net/23/91/2016/npg-23-91-2016.pdf
Description
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.
ISSN:1023-5809
1607-7946