【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。更多还原

【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.更多还原