This study is focused on the fractal characteristics of gangue particle size distribution(PSD) during ball milling process, taking mudstone, sandstone, and limestone gangue as the research object with multifractal theory, laser scattering-based particle size analysis, scanning electron microscopy (SEM), X-ray diffractometry (XRD) and other mesoscopic methods. The multifractal characteristic parameters of gangue PSD under different milling time and their correlation with the mesostructure are analyzed. The results show that the PSD of three gangues have different fractal characteristics and the multifractal parameters have stage distribution characteristics with time. The multifractal characteristic parameters of gangue, such as D(0) D (2), Δα、Δf, initially increase and then decrease with the increase of ball milling time, and reach the maximum value in 10-20 min. The heterogeneity of gangue PSD and the microscopic mechanism of multifractal parameter changes are revealed by examining the correlation between multifractal parameters and gangue morphology in fragmentation form.

本研究以泥岩、砂岩和石灰岩脉石为研究对象，采用多重分形理论，基于激光散射的粒度分析，扫描电子显微镜（SEM )、X 射线衍射 (XRD) 等细观方法。分析了不同研磨时间下脉石PSD的多重分形特征参数及其与细观结构的相关性。结果表明，三种矸石的PSD具有不同的分形特征，多重分形参数随时间具有阶段性分布特征。脉石的多重分形特征参数，如D(0) D (2)、Δα、Δf，随着球磨时间的增加先增大后减小，10～20 min达到最大值。通过考察多重分形参数与碎裂形式的脉石形态之间的相关性，揭示了脉石PSD的异质性和多重分形参数变化的微观机制。