| 河流水系分形的初步研究 |
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| 引用本文： | 李华晔 黄志全 等. 河流水系分形的初步研究[J]. 华北水利水电学院学报, 1998, 19(4): 36-38 |
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| 作者姓名： | 李华晔 黄志全 等 |
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| 作者单位： | 华北水利水电学院岩工系 |
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| 摘 要： | 论述了河流水系分形特征，即部分河段在某种程度上包含了整体水系的特征。同时，它具有统计上的自相似性也符合分形几何的概念。另以黄河水系为例所提出的河段分形模型为码尺法模型、盒计数法模型、周长—面积法模型。水系的分形模型为Ｄ＝ｌｎ３／ｌｎ（２ｃｏｓπβ／２），且得到盒维数Ｄ＝１．７３，相关系数为０．９５．
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| 关 键 词： | 分形几何 分形模型 分形维数 |
The Preliminary Study for Fraction of River System |
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| Li Huaye Huang Zhiquan Jiang Tong. The Preliminary Study for Fraction of River System[J]. Journal of North China Institute of Water Conservancy and Hydroelectric Power, 1998, 19(4): 36-38 |
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| Authors: | Li Huaye Huang Zhiquan Jiang Tong |
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| Abstract: | Fractal character of river system is discussed.A part of a river composes chcracters of whole river system on the certain degree,and there is statistical self-similarity.These are in keeping with definition of factal geometry.The yellow River is taken as an example to tllustrate that,the fractal model of river system is D=ln 3/ln (2cos πβ/2),box dimension D=1.73 and the correlation coefficient is 0.95. |
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| Keywords: | Fractal geometry Fractal model Fractal dimensionalty |
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