岩石爆破破碎机理的分形研究

Fractal Studies on Blasting Broking Mechanism of Rocks

应用分形几何理论，研究了爆炸载荷作用下岩石块度的分布特征，发现在双对数坐标下，爆破块体粒径的质量累积百分数与粒径间呈直线关系，表明其块度分布具有分形结构。根据该直线的斜率ｂ，由公式Ｄ＝３－ｂ可求得相应的分维。分维可作为描述块度分布特征的一个有序参量，其值反映了爆破块度分布的离散程度和块度的均匀程度。

The fragment distribution of rock, which is ground by blasting, are studied by fractal geometry It is found that there is a linear relationship between the accumulative mass percentage and the fragment size in the log-log plot, and it shows that the fragment distribution of rock has fractal structure The slope “b” in the plot can be used to calculate the relative fractal dimension “D” by the equation D=3-b D may be taken as an ordered parameter, which describes the fragment distribution characteristics of rock The value of D reflects the scatter trend of distribution as well as the uniformity of fragments