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通过对随机逼近法的扩展,实现不同距离计算标准下的优势组划分,研究不同的距离计算标准和有效性指标组合方案的性能。分析结果表明:欧几里德距离、球面最小弧长和夹角正弦平方均可作为节理优势组划分的距离计算标准,但在不同的距离计算标准下,有效性指标的性能存在明显差异。CH指标仅在球面最小弧长标准下有效;I指标则在欧几里德距离和夹角正弦平方标准下均能给出正确分组结果;DB和XB指标在3种距离计算标准下均可以对优势组数目作出合理的选择。目标函数对分组形式优劣程度的判断与有效性指标的判断存在差异,仅在夹角正弦平方标准下,I指标与目标函数存在良好的一致性。基于分析结果,提出夹角正弦平方距离计算标准和I指标的最优组合方案,实现甘肃北山深部岩体节理产状的优势组划分。
Through the expansion of the random approximation method, the advantages grouping under different distance calculation standards is realized, and the performance of different distance calculation standards and validity index combination schemes is studied. The analysis results show that the Euclidean distance, the minimum arc length of the spherical surface and the squared sine of the included angle can all be used as the distance calculation standard for dividing the dominant group. However, there are significant differences in the validity indexes under different distance calculation standards. The CH index is valid only for the minimum spherical arc length standard; the I index gives the correct grouping results both for the Euclidean distance and for the sine of the included angle. The DB and XB indexes are correct for all three distance calculation standards The number of advantage groups to make a reasonable choice. There is a difference between the objective function and the judgment of the validity index of the grouped form. Only with the sine of squareness, the I indicator and the objective function have good consistency. Based on the analysis results, the optimal combination of calculation standard and I index for the square sine of included angle is proposed to realize the division of dominant groups of deep rock mass joints in Beishan, Gansu Province.