多元线性回归地应力场反演方法研究

来源期刊：有色金属科学与工程2011年第1期

论文作者：袁海平 赵科 王继伦 翟有经

文章页码：59 - 62

关键词：地应力场；多元线性回归法；构造应力；反演

Key words：geo-stress field; multivariate linear regression analysis; tectonic stress; retrieval

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.