引入分形理论研究导电通路的分布特征，利用分形维数描述导电沥青混凝土从绝缘体到导体的转换过程。基于Matlab 平台，结合常规的图像处理方法，获取图像的盒维数信息，分析分维与导电相材料体积掺量之间的关系。研究结果表明：导电通路的分布图具有明显的统计意义的自相似性，分形维数在二维平面内随石墨掺量增加而增大，变化趋势类似于电阻率与石墨掺量的依赖性。说明分形维数可明确地、定量地表征导电沥青混凝土中形成导电渗流途径的连通程度。%This paper introduces the fractal theory to the study on the distribution characteristics of the conduc-tive paths of asphalt concrete by using fractal dimension to describe the conversion process when asphalt concrete are changed into conductor.Based on Matlab,the images information of the box -counting dimension combined with the conventional image processing method is obtained.The relationship between fractal dimension and vol-ume content of the conductive material was also analyzed.The results show that:the conductive path of asphalt concrete has obviously statistical significant similarity on fractal,and fractal dimension increases by the graphite content at two -dimensional plane.In addition,the change trend of fractal dimension is similar to the depend-ence of resistivity and graphite content.The results indicate that fractal dimension can describe the degree of connectivity clearly and quantitatively when conductive asphalt concrete forming a percolation path.
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