Two categories of fractal models of rock and soil expressing volume and size-distribution of pores and grains  

作　　者：TAO GaoLiang ZHANG JiRu 

机构地区：[1]School of Civil Engineering and Architecture, Wuhan University of Technology, Wuhan 430070, China

出　　处：《Chinese Science Bulletin》2009年第23期4458-4467,共10页

基　　金：Supported by the National Natural Science Foundation of China (Grant No. 50778140);Special Research Foundation of Doctorial Subjects in Universities of China (Grant No. 20070497107)

摘　　要：Based on the Sierpinski carpet and Menger sponge models, two categories of fractal models of rock and soil which are composed of the volume fractal model of pores, the volume fractal model of grains, pore-size or particle-size distribution fractal models are established and their relations are clarified in this paper. Through comparison and analysis, it is found that previous models can be unified by the two categories of fractal models, so the unified fractal models are formed. Experimental results presented by Katz indicate that the first category of fractal models can be used to express the fractal behavior of sandstone. A scanning electron microscope (SEM) will be used to study the microstructure of soft clay and it will be testified that the fractal behavior of soft clay suits the second category of fractal models.Based on the Sierpinski carpet and Menger sponge models, two categories of fractal models of rock and soil which are composed of the volume fractal model of pores, the volume fractal model of grains, pore-size or particle-size distribution fractal models are established and their relations are clarified in this paper. Through comparison and analysis, it is found that previous models can be unified by the two categories of fractal models, so the unified fractal models are formed. Experimental results presented by Katz indicate that the first category of fractal models can be used to express the fractal behavior of sandstone. A scanning electron microscope （SEM） will be used to study the microstructure of soft clay and it will be testified that the fractal behavior of soft clay suits the second category of fractal models.

关 键 词：分形模型 孔隙分布 SIERPINSKI地毯 土壤 岩石 模表示 扫描电子显微镜 谷物 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术] TQ424.1[自动化与计算机技术—计算机科学与技术]