基于GIS实现黏性土颗粒形态的三维分形研究
Study on 3D fractal dimension of clayey soil by use of GIS
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摘要: 利用扫描电镜照片研究黏性土的微观结构是目前应用较为广泛的方法,但多数研究仍以定性为主,定量研究方法十分有限。介绍了利用分形理论定量研究黏性土微观结构的方法,并提出利用图像处理技术结合GIS数据提取技术,通过计算颗粒表面积和体积的方法获取土颗粒形态三维分形维数的方法。该方法简化了颗粒表面积和体积计算过程,提高了分维确定的工作效率。通过对计算图像分形维数的表面积–体积法和面积–周长法进行的对比分析,认为表面积–体积法更能够反应土体的三维特性。Abstract: SEM has been widely used to study the microstructure of clayey soil.Other than quantitative methods,most of them were qualitative methods.A method was presented to determine a fractal dimension associated with microstructure of clayey soil by image-processing techniques and Geographical Information System(GIS) software.Through the method of volume-area,the 3D fractal dimension was computed by use of GIS.This method could simplify the data process and raise the working efficiency.Through comparison between area-volume method and perimeter-area method,it was considered that the former method could reflect the 3D information more than the latter one.