Continuum Model for River Networks

Details Continuum Model for River Networks Continuum Model for River Networks

1995-05-26

arxiv.org/abs/cond-mat/9505138v1

Physics

Condensed Matter

9 pages, Revtex 3.0, 7 figures in compressed format using uufiles command, to appear in Phys. Rev. Lett., for an hard copy or

Scientific paper

10.1103/PhysRevLett.75.577

The effects of erosion, avalanching and random precipitation are captured in a simple stochastic partial differential equation for modelling the evolution of river networks. Our model leads to a self-organized structured landscape and to abstraction and piracy of the smaller tributaries as the evolution proceeds. An algebraic distribution of the average basin areas and a power law relationship between the drainage basin area and the river length are found.

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