基于灰色关联度的隧洞围岩分类研究

Study on Classification of Tunnel Surrounding Rock Based on Grey Correlation Degree

为高效判别隧洞围岩类别,合理评价隧洞的安全性和稳定性。基于灰色关联度(GRA)和主成分分析(PCA)理论,选取岩石质量指标、完整性指数、饱和单轴抗压强度、纵波波速、弹性抗力系数以及结构面摩擦系数作为判别指标,围岩类别作为判别结果,分别建立GRA和PCA-GRA隧洞围岩分类判别模型。并分析判别指标与判别结果的相关性。结果表明:相比于PCA-GRA模型,GRA模型判别过程简单准确,受冗余信息影响较小;纵波波速与判别结果相关性较低,可作为次要指标剔除。所得结论可对围岩分类及判别指标的选取提供参考。

In order to identify the surrounding rock types of tunnel efficiently and evaluate the safety and stability of tunnel reasonably.Based on the theory of grey correlation degree(GRA)and principal component analysis(PCA),the rock quality index,integrity index,saturated uniaxial compressive strength,longitudinal wave velocity,elastic resistance coefficient and friction coefficient of structural plane were selected as the discriminant indexes,and the classification of surrounding rock was used as the discriminant results.The classification and discriminant models of GRA and PCA-GRA tunnel surrounding rock were established respectively.The correlation between discriminant index and discriminant result was also analyzed.The results show that,compared with the PCA-GRA model,the GRA model is simple and accurate,and is less affected by redundant information.The correlation between longitudinal wave velocity and discriminant results is low,which can be used as secondary indicators.The conclusions can provide reference for the selection of surrounding rock classification and discriminant indexes.