基于块体二维图形的岩块三维筛分尺寸研究

为实现破碎岩石的三维块度分布估算，研究了根据图像分割后的岩块二维图形计算岩块三维筛分尺寸的方法。通过块体三维形状参数ε和κ对块体进行分类，根据分类结果计算块体的等效尺寸作为过筛块度尺寸。利用岩体结构面网络模拟建立三维岩块模型集合，利用一组平面对其进行切割得到岩块对应的二维轮廓线，根据岩块二维轮廓线和岩块三维模型分别计算块体的二维和三维几何特征参数值，从而利用统计分析和回归分析建立二维和三维几何特征参数之间的关系，推导出通过二维几何参数计算岩块筛分尺寸的公式，最终得到定量的矿岩块度分布。实验对比表明，根据二维几何特征参数计算的块体筛分尺寸和三维岩块模型的块体实际筛分尺寸分布规律基本一致。

Study on 3D Sieve Dimensions of Rock Blocks Based on the 2D Shape of Block

In order to estimate the 3D fragmentation distribution of rock blocks， the method of calculating the 3D sieve dimensions based on the 2D graphics obtained by image segmentation of the rock blocks was studied. The blocks were classified by the 3D shape parameters ε and κ， and the equivalent size of the block is calculated as the sieve block size according to the classification result. The collection of 3D rock block models was established by using the discontinuity network simulation. Then the block models were cut by a set of planes to obtain the 2D contours corresponding to the rock blocks. The 2D and 3D geometric parameter values of the blocks according to the 2D contours and the 3D models of the rock blocks. Thus， the relationship between 2D and 3D geometric parameters was established by statistical analysis and regression analysis. The formula for calculating the sieve dimensions of rock blocks by 2D geometric parameters was derived， and a quantitative distribution of mineral rock blocks was obtained. The experimental comparison showed that the distribution of sieve block size calculated according to 2D geometric parameters were consistent with the actual sieve block size of the 3D rock models.