摘要
为提高地应力场的反演精度,通过文献调研发现,含与不含常数项回归模型被单独地用于反演岩体的初始地应力场,而这两类回归模型的反演结果是不相同的,因此反演结果较差的回归模型很可能被用于反演。为解决此问题,首先,结合概率统计理论提出了衡量应力实测值与计算值偏差程度的量化指标,此量化指标可以客观地选择最佳反演结果的回归模型;然后,在郭怀志教授提出的反演分析方法的基础上,在含与不含常数项回归模型中,基于此量化指标提出了客观获得最佳反演结果的岩体初始地应力场反演流程,其可以获得与实测原位地应力较为吻合的岩体初始地应力场;最后,以某复杂艰险山区铁路隧道为依托对此反演流程进行工程应用。结果表明,在此隧道局部区域,含常数项回归模型的反演结果较不含常数项回归模型更好;提出的反演流程可为反演岩体的初始地应力场提供一定的参考。
To improve the accuracy of the inversion of a geo-stress field,the literature survey found that regression models with and without a constant term were used separately to invert the initial geo-stress field of rock masses.However,given the different inversion results of regression models with and without a constant term,the regression model with poor inversion results is likely to be used for the inversion.To solve this problem,combining the theory of probabilities and statistics,a quantitative index to measure the degree of deviations between measured stresses and calculated ones was proposed firstly.This quantitative index can select the regression model with the best inversion result objectively.Based on the method of the back analysis proposed by Professor Guo Huaizhi,in the regression models with and without a constant term,then the workflow of the inversion of a geo-stress field with the best inversion result objectively obtained was proposed in relation to this quantitative index,which can obtain the initial geo-stress field that is consistent with measured in-situ stresses.Finally,this workflow was applied to the tunnel railway in complicated mountainous region.The results show that in the local region of the tunnel,the inversion results of the regression model with a constant term are better than those of the regression model without a constant term.The proposed workflow of the inversion can provide some references for inverting the initial geo-stress field of rock masses.
作者
蒙伟
何川
严健
吴枋胤
周子寒
寇昊
MENG Wei;HE Chuan;YAN Jian;WU Fangyin;ZHOU Zihan;KOU Hao(Key Laboratory of Transportation Tunnel Engineering of Ministry of Education,Southwest Jiaotong University,Chengdu 610031,China)
出处
《铁道学报》
EI
CAS
CSCD
北大核心
2022年第3期115-122,共8页
Journal of the China Railway Society
基金
国家自然科学基金(U1734205)
国家重点研发计划(2016YFC0802201)。
关键词
回归模型
常数项
残差平方和
反演
地应力场
regression model
constant term
residual sum of squares
inversion
geo-stress field
