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西北地区泥石流沟形态因素的非线性分析——以兰州市为例
引用本文:李建林,冯起.西北地区泥石流沟形态因素的非线性分析——以兰州市为例[J].干旱区地理,2006,29(5):658-662.
作者姓名:李建林  冯起
作者单位:1. 中国科学院寒区旱区环境与工程研究所,甘肃,兰州,730000;甘肃农业大学理学院,甘肃,兰州,730070
2. 中国科学院寒区旱区环境与工程研究所,甘肃,兰州,730000
基金项目:科技部重大基础研究前期研究专项(2005CCA05200)
摘    要:以兰州市区96条主要的泥石流沟为例,利用分形理论的统计自相似性对泥石流沟数的累计分布随沟谷形态要素沟道比降、汇水面积和沟道长度的变化进行了分析;并与不同流域形态要素的分维进行了比较,探讨了分维不同的原因。兰州市区泥石流沟三个形态要素均具有统计意义上的自相似性,其中以汇水面积显示出分维最小(0.46),沟道长度次之(0.71),沟道比降最大(1.09)。分维的大小描述了作为系统的沟谷及其泥石流的形成的空间结构,即分形结构,同时也反映了不同形态要素对系统所起作用的差异,分维越小,所起作用越显著。其结果对西北干旱半干旱地区石流灾害的进一步研究与防治提供了新的思路。

关 键 词:泥石流沟  形态因素  非线性分析  分形维数  西北干旱半干旱地区
文章编号:1000-6060(2006)05-0658-05
收稿时间:2005-12-03
修稿时间:2006-04-05

Nonlinear Analysis of Morphology of Debris Flow Gully in Arid and Semiarid Region in Northwestern China——A Case Study in LanZhou City
LI Jian-lin,FENG Qi.Nonlinear Analysis of Morphology of Debris Flow Gully in Arid and Semiarid Region in Northwestern China——A Case Study in LanZhou City[J].Arid Land Geography,2006,29(5):658-662.
Authors:LI Jian-lin  FENG Qi
Institution:1 Cold and Arid Regions Environmental and Engineering Research Institute, Chinese Academy of Sciences, Lanzhou 730000, C, ansu China ; 2 Science College of Gansu Agricultural University, Lanzhou 730070, C, ansu China
Abstract:Based on 96 debris flow gullies in Lanzhou city China,the distribution characteristic and morphology of debris flow gullies was analyzed.Using statistical self-comparability theory of fractal,the relation of the amount of debris flow gullies and the area,slope ration and length of debris flow gullies was researched.If gullies and the formation of debris flow were looked as a system,it would be an exoteric self-organized system.And each gully has its own obvious fractal property in terms of drainage area,gully length and slope ration.So the spatial(or fractal) structure of the composition of this system should be described by drainage area,gully length and slope ration.The difference of fractal dimensions of the area,slope ration and length of debris flow gullies reflects both the fractal structure of the system and the different effect of these morphology factors on the system.The smaller fractal dimension is,the more effective the system. We found that(1) fractal dimensions of the area,slope ration and length of debris flow gullies in Lanzhou city are 0.46,0.71 and 1.09 respectively.This shows that drainage area of gully is the key factor to debris flow gullies and the formation of debris flow;(2) the fractal dimensions of the area,slope ration and length of debris flow gullies among four drainage basins are different.The reason of the different was analyzed in the paper.Various reasons lead to the different,such as the different choice of the measure,the difference in sampling and the different drainage basins.The result would benefit for study on debris flow in arid and semiarid region in Northwestern China.
Keywords:morphology of debris flow gully  nonlinear analysis  fractal dimension  northwestern China
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