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基于主成分分析和改进Bayes判别的岩爆等级预测

Prediction of rockburst grade based on principal component analysis and improved Bayesian discriminant analysis

  • 摘要: 随着深部开采和地下空间的综合利用,岩爆灾害日益频发。为了提高岩爆预测的准确性,采用主成分分析法和改进贝叶斯(Bayes)判别法,选取岩石单轴抗压强度、脆性系数、岩石弹性能量等指标,建立岩爆综合预测模型。采用主成分分析法对原始数据进行预处理,消除相关性影响,满足Bayes判别条件,确定影响岩爆的主要因素;使用改进Bayes判别对岩爆烈度分级,在传统的Bayes模型基础上增加阈值修正,解决指标所属的类别分布不均、先验概率差距较大和后验概率位于分类边界附近出现误判的问题。研究结果表明,传统的Bayes判别预测样本的准确率达到93.18%,经过改进后大幅提高了模型的准确率和泛化能力,可为岩爆研究提供参考。

     

    Abstract: Deep mining and underground space have been more comprehensively utilized in recent years,but it has led to increasingly frequent rock burst disasters. In order to predict the occurrence of rockburst more accurately,a principal component analysis method and an improved Bayes discriminant method are proposed. The prediction of rockburst is accomplished by selecting indexes such as rock uniaxial compressive strength,brittleness coefficient,rock elastic energy,etc. and establishing a comprehensive rockburst prediction model. When the principal component analysis method is used,the original data needs to be preprocessed to eliminate the correlation effect,and the main factors affecting the rockburst can be determined only after the Bayes discriminant condition is satisfied.The improved Bayes discriminant method is used to classify the rockburst intensity. This method adds a legal correction to the traditional Bayes model,which can solve the problems including that the area to which the indicators belong is uneven,the prior probability gap is large,and the posterior probability is located near the classification boundary,resulting in misjudgment. The research shows that the accuracy of the traditional Bayes discriminant prediction sample reaches 93.18%,and the accuracy and generalization ability of the model have been greatly improved after the improvement,which contributes to a new method and idea for rockburst research.

     

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