(中南大学 资源与安全工程学院，长沙 410083)
摘 要: 充填体的孔隙结构特征对充填材料的力学性质直接产生影响，是充填体多尺度力学研究的基础。以体视学、分形理论为基础，利用充填体孔隙结构SEM图像，通过最大类间方差法、盒维数法计算其微观孔隙结构分形维数，获得充填材料孔隙结构定量表征，分析充填体分形维数与单轴抗压强度、含水率、孔隙度等中观参数的相关性，探究SEM像定量分析与充填体中观参数的跨尺度关联关系。结果表明：石粉水泥全尾胶结充填体微观孔隙结构分形维数可以表征孔隙结构的复杂程度；孔隙结构的分形维数与充填体的中观参数间具有一定的关系，其中与单轴抗压强度存在负相关性，与含水率存在正相关性；建立孔隙结构特征分形维数与单轴抗压强度、含水率的关联曲线，获得关联特征值的均方差，分形维数与单轴抗压强度和含水率的均方差值分别为 =-0.638和 =0.604。
关键字: 充填体；分形维数；孔隙结构；相关性
（College of resources and safety engineering, Central South University, Changsha 410083, China）
Abstract:Pore structure characteristics of filling bodies directly influence the mechanical features of the filling materials, which is the foundation of the multi-scale mechanics study of the filling bodies. On the basis of stereology and fractal theory, filling bodies pore structure SEM images was utilized, OTSU method and box counting method were used to calculate the filling body pore structure fractal dimension. The quantitative characterizations of pore structure of filling materials were obtained to analyze the correlations between fractal dimension and uniaxial compressive strength, moisture content, porosity and other meso parameters of filling bodies. Then the cross scale correlation between SEM quantitative image analysis and meso parameters of filling bodies were analyzed. The results show that the micro pore structure fractal dimension of filling bodies can characterize the complexity of filling body pore structure; a certain relationship exists between the fractal dimension of pore structure and the meso parameters of filling bodies, fractal dimension has a negative correlation with the uniaxial compressive strength, while there is a positive correlation between fractal dimension and water content; the correlation curves between pore structure characteristics fractal dimension and uniaxial compressive strength and water content are established, the association eigenvalue mean variances are obtained, the fractal dimension and uniaxial compressive strength mean square deviations is =-0.638, while the value of fractal dimension and water content is =0.604.
Key words: filling body; fractal dimension; pore structure; correlation
