多元线性回归地应力场反演方法研究

On the Method of Multivariate Linear Regression for Geo-stress Field

  • 摘要: 工程岩体地应力场分布受多种因素影响,难以直接获取.基于多元线性回归原理,对地应力场基本影响因素进行了分析,推导和建立了多元线性回归地应力场反演计算模型,并利用Fortran语言编写了相关程序,实现了基于工程有限测点实测应力的地应力场的自动反演,发展和完善了地应力场反演方法.实例验证表明:利用多元线性回归方法进行地应力场反演,得到的计算应力与实际观测值极其吻合,回归效果理想,地应力场反演方法可行,计算程序可靠.

     

    Abstract: Engineering rock -mass geo -stress distribution is affected by many factors, which is hard to direct access. The basic influencing factors of the geo -stress field factors were analyzed. A multiple linear regression model was derived and established to calculate the geo-stress field. Some relevant procedures were developed with Fortran to realize automatically geo-stress field retrieval based on the engineering limited realization of measured stress field, which further improved the method of multivariate linear regression for geo-stress field. Some examples illustrate that the method is effective and practical.

     

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