In order to study mechanism and distribution state of waste rock fragmentation, a fractal model of self-similarity about waste rock fragmentation was set up in fractal geometry in this paper.

• 摘要为了探讨冒矸破碎的机理及分布状态，从分形几何学的角度建立了冒矸破碎统计自相似分形模型，并通过随机破碎个数与自相似比的数学期望，给出了冒矸破碎分形自相似维数的计算公式；