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计算机工程

• 图形图像处理 • 上一篇    下一篇

基于CT的黄土大孔隙形态三维分形研究

王 凤,邓念东,马逢清,王 超,江星辰   

  1. (西安科技大学地质与环境学院,西安 710054)
  • 收稿日期:2013-04-24 出版日期:2014-07-15 发布日期:2014-07-14
  • 作者简介:王 凤(1987-),女,硕士研究生,主研方向:图形图像处理;邓念东,副教授;马逢清、王 超、江星辰,硕士研究生。
  • 基金资助:
    国家自然科学基金资助项目(2010JK677);陕西省教育厅科研计划基金资助项目(2010JK677)。

Study on 3D Fractal of Loess Large Pore Based on CT

WANG Feng, DENG Nian-dong, MA Feng-qing, WANG Chao, JIANG Xing-chen   

  1. (College of Geology and Environment, Xi’an University of Science and Technology, Xi’an 710054, China)
  • Received:2013-04-24 Online:2014-07-15 Published:2014-07-14

摘要: 基于计算机断面扫描技术和分形理论,提出一种研究黄土大孔隙三维形态的定量方法。利用计算机断层扫描技术得到黄土断面照片,选取具有代表性的孔隙,计算黄土大孔隙的周长和面积,获取黄土大孔隙形态的三维分形维数。研究结果表明,黄土大孔隙形态存在明显的三维分形特征,其分形维数较好地反映了黄土大孔隙轮廓的曲折程度,分形数越大,则孔隙轮廓线越不规则。最终得出,土体大孔隙的三维分形维数与含水率、初始密度和内聚力c成反比例关系,与孔隙比e成正比例关系,为研究土体微结构与物理力学性质相关关系提供了一种新的方法。

关键词: 黄土, 大孔隙, 分形理论, 定量化, 三维分形, 维数

Abstract: This paper introduces the method that using fractal theory and CT to quantitative research on the large pore of the loess. It uses computer tomography to obtain photographs of loess section, selects representative pores, calculates the perimeter and area of loess macropores, and obtains a three-dimensional shape of loess macropores fractal dimension. Research result shows that there are obvious loess large pores forming a three-dimensional fractal characteristics, and its fractal dimension better reflects the tortuous pore profile loess large extent, greater the fractal number, the more irregular contour pores. Final results show that soil macropores dimensional fractal dimension and moisture content, initial density and cohesion c is inversely proportional correlation with void ratio e is proportional correlation. For the study of soil physical, mechanical properties and microstructure correlation provides a new approach.

Key words: loess, large pore, fractal theory, quantification, 3D fractal, dimension

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