| 泥沙淤积物颗粒排列结构的分形模式研究 |
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| 引用本文： | 杨铁笙,张正红.泥沙淤积物颗粒排列结构的分形模式研究[J].应用基础与工程科学学报,1994(Z1). |
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| 作者姓名： | 杨铁笙 张正红 |
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| 作者单位： | 清华大学水电工程系，清华大学水电工程系 北京 100084，北京 100084 |
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| 基金项目： | 国家自然科学基金,资助项目编号59279383 |
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| 摘 要： | 以河道、水库泥沙淤积物孔隙率问题为背景,用分形理论和计算机模拟方法研究了颗粒紧密排列模式CAPP(Close Arrangement Pattern of Particles)的图样特点。研究指出,CAPP是介于规则分形和统计分形之间的准自相似结构,用作者提出的孔隙率衰减过程类比法,得出其分形维数介于1.26和1.63之间,其最好估计值为D_H=1.4649。根据CAPP的级配特点,还对天然淤积物的孔隙率变化范围作了初步解释。
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| 关 键 词： | 分形维 淤积物 孔隙率 |
STUDY ON THE FRACTAL STRUCTURE OFCLOSE ARRANGEMENT PATTERN OF PARTICLES |
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| Tiesheng YANG Zhenghong ZHANGDept. of Hydraulic Engineering,Tsinghua Univ.,Beijing.STUDY ON THE FRACTAL STRUCTURE OFCLOSE ARRANGEMENT PATTERN OF PARTICLES[J].Journal of Basic Science and Engineering,1994(Z1). |
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| Authors: | Tiesheng YANG Zhenghong ZHANGDept of Hydraulic Engineering Tsinghua Univ Beijing |
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| Institution: | Tiesheng YANG Zhenghong ZHANGDept. of Hydraulic Engineering,Tsinghua Univ.,Beijing 100084 |
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| Abstract: | This paper presents the feature of the Close Arrangement Pattern of Particles (CAPP) based upon the fractal theory and computer simulation. The results of calculation and simulation show that the structure of CAPP can be described by means of quasi-self-similary. The comparison between two different decay processes of porosity of CAPP and Serpinki carpets results in an estimation method of Hausdorff dimension applied to CAPP's fractal dimension. According to above procedure the range of the Hausdorff dimension of CAPP is estimated as 1. 2619< DH <1. 6309,and an approxmative value is DH =1. 4649. Last part of this paper is contributed to the discussion into the distribution of particles size of CAPP. |
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| Keywords: | fractal dimension deposit porosity |
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