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蜿蜒河流平面形态的几何分形及统计分析
引用本文:白玉川,黄涛,许栋.蜿蜒河流平面形态的几何分形及统计分析[J].天津大学学报(自然科学与工程技术版),2008,41(9):1052-1056.
作者姓名:白玉川  黄涛  许栋
作者单位:天津大学建筑工程学院河流海岸工程泥沙研究室,天津300072
基金项目:国家重点基础研究发展规划(973计划),国家自然科学基金,教育部新世纪优秀人才支持计划 
摘    要:自然界中大型蜿蜒河流的平面形态是一种多尺度分形结构.笔者对蜿蜒河流平面形态进行了几何分形分析.计算了蜿蜒河流河道中心线的分形盒维数,并利用分形维数对大型河流的弯曲度和不规则程度进行了描述.另外,建立了对蜿蜒河流河弯形态进行识别、概化以及特征量统计分析的方法,并将其应用到黄河、长江等河流的几何形态统计分析中.河弯形态的统计结果能够为有关工程的建设、河流生态修复及理论分析等提供信息支持.

关 键 词:蜿蜒河流  分形几何  盒维数  统计分析

Fractal and Statistic Analysis of Planar Shape of Meandering Rivers
BAI Yu-chuan,HUANG Tao,XU Dong.Fractal and Statistic Analysis of Planar Shape of Meandering Rivers[J].Journal of Tianjin University(Science and Technology),2008,41(9):1052-1056.
Authors:BAI Yu-chuan  HUANG Tao  XU Dong
Institution:( Institute for Sediment on River and Coast Engineering, School of Civil Engineering, Tianjin University, Tianjin 300072, China )
Abstract:The planar shape of large scale meandering rivers in nature is a kind of multi-scale fractal structure, for which, fractal analysis was carried out in this paper by calculating the fractal box dimension of the center line of meandering river channels. The curvature and irregularity of large scale rivers were described with fractal dimensions. Besides, a method was established for river meander identification, generalization and statistic, and then applied in the analysis of the geometric shape of the Yellow River and the Yangtze River, etc. Statistic results of river meanders provide valuable information for related engineering construction, river recovery and theoretical analysis.
Keywords:meandering river  fractal geometry  box dimension  statistic analysis
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