[an error occurred while processing this directive] 高校地质学报 2018, 24(4) 604- DOI:     ISSN: 1006-7493 CN: 32-1440/P

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本文关键词相关文章
砂土
颗粒形状
傅里叶描述符
相位角
相似性分析
本文作者相关文章
方浩
张巍*
肖瑞
施斌
刘岩
赵春发
PubMed
Article by Fang H
Article by Zhang W
Article by Xiao R
Article by Shi B
Article by Liu Y
Article by Zhao C
砂土颗粒形状的傅里叶描述符自动生成
方浩,张巍*,肖瑞,施斌,刘岩,赵春发
摘要: 颗粒形状是影响砂土密实度、力学与渗流等特性的主要因素之一。傅里叶描述法是一种有效表征颗粒形状的数学方
法。基于傅里叶系数与颗粒平均半径定义傅里叶描述符Dn。采用傅里叶描述符D2,D3,D8以及D3与D8对数线性组合的简化
算法可自动生成复杂的砂土颗粒形状。颗粒形状由傅里叶描述符Dn与相位角δn序列共同控制。分析了傅里叶描述符D2、
D3、D8与颗粒几何参数间的相关性,结果表明,长宽比a与D2正相关,圆形度C 与D2,D8负相关,磨圆度R与D8强负相
关,球形度S与D2,D3之间均呈现显著负相关,规则度Re与D8呈负相关性,且在D8=0时与D3之间呈强负相关性。以显微CT
扫描南京粉砂断层序列二值图像中典型颗粒为样本,基于Pearson相关性准则,计算了重构颗粒与实际颗粒轮廓相似性,相
关系数大于0.94,表明算法具有较高的表征精度。算法可用于二维数值模拟中实际砂土颗粒的批量自动生成。
关键词 砂土   颗粒形状   傅里叶描述符   相位角   相似性分析  
Automatic Fourier-descriptor-based Generation of Paticle Shape of Sandy Soil
FANG Hao, ZHANG Wei*, XIAO Rui, SHI Bin, LIU Yan, ZHAO Chunfa
Abstract: Particle shape is one of the main factors affecting the compactness, mechanical and seepage properties of sandy soils.
Fourier description is one of the mathematical methods effectively characterizing the grain shape. Based on the Fourier coefficient and
grain mean radius, we define the Fourier descriptor Dn. Employ Fourier descriptor D2, D3, D8 and, the logarithmic linear combination of
D3 and D8, we develop a simplified algorithm to automatically generate complicated soil grain shapes. The grain shape is controlled by
both Fourier descriptor Dn and phase angle δn series. The correlation between Fourier descriptors D2, D3, D8 and the grain geometrical
parameters. The results show that the length-width ratio a is positively correlated to D2, circularity C is negatively correlated to D2 and
D8, roundness R is strongly negatively correlated to D8, sphericity S is strongly negatively correlated to both D2 and D3 and, regulation Re
is negatively correlated to D8 and, negatively correlated to D3 when D8 equals to 0. Using the typical grains in the binary images of
Nanjing silty sand, obtained by micro-CT scanning, as samples, the shape similarity is calculated based on Pearson correlation
criterion. The correlation coefficient is higher than 0.94, suggesting that the algorithm possess the relatively high characterization
accuracy. The algorithm can be used to automatically generate massive practical sand grains in the two-dimensional numerical
simulation.
Keywords: sandy soil   particle shape   Fourier descriptor   phase angle   similarity analysis  
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