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灰色模型在预测隧道围岩变形中的应用
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摘要
为了能够更加准确地预测围岩变形,文章采用了不同的灰色模型进行了研究。文章结合某公路隧道实例,采用灰色GM(1,1)模型、传统的灰色Verhulst模型及改进的灰色Verhulst模型对隧道拱顶沉降进行了预测,并与实测值进行对比。研究结果表明灰色GM(1,1)模型具有无限增长的特性,只适用于隧道变形的短期预测。Verhulst模型能反映隧道围岩变形的全过程,可预测隧道的最终变形量。改进的灰色Verhulst模型预测,具有更高的精度,对隧道稳定性评价和隧道施工有一定的指导意义。
In order to predict the deformation of surrounding rock more accurately,the paper used different grey models to study the deformation.In this paper,the gray GM(1,1) model,the grey Verhulst model and the improved gray Verhulst model were used to predict the vault crown settlement,and the analytic results were compared with the measured values.The results show that the gray GM(1,1) model has the characteristics of unlimited growth,which is only suitable for the short term prediction of tunnel deformation.Verhulst model can reflect the whole process of tunnel surrounding rock deformation,and it can predict the final deformation of tunnel.The improved grey Verhulst model has better accuracy,and has higher accuracy,and has certain directive significance to the tunnel stability evaluation and tunnel construction.
引文
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