(中南大學 資源與安全工程學院，長沙 410083)
摘 要: 充填體的孔隙結構特征對充填材料的力學性質直接產生影響，是充填體多尺度力學研究的基礎。以體視學、分形理論為基礎，利用充填體孔隙結構SEM圖像，通過最大類間方差法、盒維數(shù)法計算其微觀孔隙結構分形維數(shù)，獲得充填材料孔隙結構定量表征，分析充填體分形維數(shù)與單軸抗壓強度、含水率、孔隙度等中觀參數(shù)的相關性，探究SEM像定量分析與充填體中觀參數(shù)的跨尺度關聯(lián)關系。結果表明：石粉水泥全尾膠結充填體微觀孔隙結構分形維數(shù)可以表征孔隙結構的復雜程度；孔隙結構的分形維數(shù)與充填體的中觀參數(shù)間具有一定的關系，其中與單軸抗壓強度存在負相關性，與含水率存在正相關性；建立孔隙結構特征分形維數(shù)與單軸抗壓強度、含水率的關聯(lián)曲線，獲得關聯(lián)特征值的均方差，分形維數(shù)與單軸抗壓強度和含水率的均方差值分別為 =-0.638和 =0.604。
關鍵字: 充填體；分形維數(shù)；孔隙結構；相關性
（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
