MINIMUM ENERGY-DISSIPATION RIVER NETWORKS WITH FRACTAL BOUNDARIES

被引：22

作者：

SUN, T ^{[1
]}

MEAKIN, P ^{[1
]}

JOSSANG, T ^{[1
]}

机构：

[1] NORWEGIAN ACAD SCI & LETTER, CTR ADV STUDY, N-0205 OSLO, NORWAY

来源：

PHYSICAL REVIEW E | 1995年 / 51卷 / 06期

关键词：

D O I：

10.1103/PhysRevE.51.5353

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

The effects of the entire drainage area boundary on the drainage basins and their size distributions have been studied using the minimum energy dissipation model for river networks. A simple scaling relationship τ=1+D/2 between the values of the exponents τ in the power law basin size distibutions and the fractal dimension D of the boundary of the entire drainage area has been established. The scaling relationship has been tested using simulations, with external perimeters (D=4/3) or hulls (D=7/4) of invasion percolation clusters, as the boundaries for the entire drainage areas. © 1995 The American Physical Society.

引用

页码：5353 / 5359

页数：7

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