费歇尔判别法在岩体可爆性分级中的应用

Application of Fisher Discriminant Method in Blastability Classification of Rock Mass

影响岩体可爆性分级的因素多达十几种,为达到便于工程师进行现场运用的目的,选取岩石单轴抗压强度、岩石容重和岩石完整性系数3个相关性最低的主要因素进行研究:将岩体可爆性划分为5个等级,并利用多元判别理论中的费歇尔判别法建立相应等级的线性判别函数,通过对46组训练样本进行逐一回判验证,判别准确率达85%,并针对误判原因提出了增加中等可爆岩石样本数量修正判别函数的解决方案,研究结果表明:岩体可爆性分级的费歇尔线性判别模型不仅计算简单、操作便捷,而且具有较高的准确性。

There are more than ten kinds of factors influencing the blastability classification of rock mass. In order to achieve the aim of flexible application for engineers in field, uniaxial compressive strength, bulk density and integrity coefficient of rock, with the lowest correlation, were chosen for study. The blastability of rock was divided into five levels. And the fisher discrimi-nant method in the multivariate discriminant theory was used to establish the corresponding linear discriminant function. Through testing the 46 groups of training samples one by one, the discriminant accuracy reached to 85%. According to the mis- judgment causes, the corresponding solution that increased the modified discriminant function of sample size of medium-ex-plosive rock was put forward. The research showed that the fisher linear discriminant model of blastability classification of rock mass not only was simple in calculation and convenient in operation, but also had a high accuracy.