Fractal dimension of non-network space of a catchment basin

Sagar, B. S. Daya (2004) Fractal dimension of non-network space of a catchment basin. Geophysical Research Letters, 31 (12). L06501. ISSN 0094-8276

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Official URL: http://dx.doi.org/10.1029/2004GL019749

Abstract

We provide a topologically viable model that is geomorphologically realistic from the point of its Hortonity and general allometric scaling laws. To illustrate this, we consider a fractal binary basin, generated in such a way that it follows certain postulates, and decompose it into various coded topologically prominent regions the union of which is defined as geomorphologically realistic Fractal-DEM. We derive two unique topological networks from this Hortonian fractal DEM based on which we derive allometric power-law relationships among the basic measures of decomposed sub-basins of all orders ranging from omega = 1 to omega = Omega. Our results are in good accord with optimal channel networks and natural river basins.

Item Type: Article
Subjects: Q Science > QE Geology
Divisions: Faculty of Engineering and Technology (FET)
Depositing User: Ms Rosnani Abd Wahab
Date Deposited: 22 Aug 2011 02:07
Last Modified: 22 Aug 2011 02:07
URI: http://shdl.mmu.edu.my/id/eprint/2483

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