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基于计盒维数的黏土导热系数分形研究 被引量:1

A Fractal Study on Thermal Conductivity of Clay Based on Box Dimension
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摘要 土壤孔隙结构参数是评价土壤导热系数的重要指标,采用DRE-Ⅲ多功能快速导热系数测试仪量测出不同干密度、不同固结压力下黏土的导热系数,对已经量测的试样进行CT扫描,采用MATLAB2016B软件处理得到二值化图形,基于计盒维数的分形理论分析了土壤结构中孔隙数目、面积及孔隙率对黏土导热系数的影响。分析结果表明:随着干密度、固结压力的增大,黏土试样的孔隙率减小,其分形维数也随之减小,利用分形维数变化规律可以得到黏土导热系数随着其分形维数的减少而增大。 The soil pore structure parameters are important indexes for evaluating the thermal conductivity of soil.The thermal conductivity of clay under different dry density and different consolidation pressures is measured by DRE-III multi-function rapid thermal conductivity tester.CT is performed on the measured samples and Matlab 2016 Bsoftware is applied,from which the binarized graph is obtained.Then,based on the fractal theory of the box-counting dimension method,the influence of the number,area and porosity of the soil structure on the thermal conductivity of the clay was analyzed.The results indicate that with the increase of dry density and consolidation pressure,the porosity of clay samples decreases,with which the fractal dimension decreases.The variation of fractal dimension can be used to obtain the thermal conductivity of clay with its fractal increasing in dimension.
作者 胡其志 刘璇 程佳会 潘浩川 HU Qizhi;LIU Xuan;PAN Haochuan;CHENG Jiahui(School of Civil Engin.,Architecture and Environment,Hubei Univ.of Tech.,Wuhan 430068,China)
出处 《湖北工业大学学报》 2019年第2期83-86,117,共5页 Journal of Hubei University of Technology
基金 国家自然科学基金项目(516090801) (51408201)
关键词 重塑黏土 导热系数 计盒维数 remodeling clay thermal conductivity box dimension
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