基于偏最小二乘法的地应力场拟合
Geo-stress field fitting based on the partial least square method
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摘要: 采用偏最小二乘回归分析方法分析矿区地应力场分布.以乌鞘岭隧道岭脊地段的有限测点的地应力测量结果为样本,使用商业有限元软件ANSYS对岭脊地段区域的地应力场进行数值模拟.利用地应力实测数据与计算结果进行偏最小二乘回归计算,得到拟合的地应力场数据.与传统最小二乘分析方法相比,本文的方法通过主成分分析,可以有效解决多因变量回归计算时由于响应变量之间较高的相关性而导致的回归计算误差,并可以有效地反映变量间的关系,为地应力场的建立提供有效的数据支持.Abstract: Geo-stress distribution in a mining area was analyzed by means of a partial least squares regression method (PLSRM). Based on data measured in Wushaoling tunnel ridge section, a numerical simulation of the initial geo-stress field around the area was performed using the commercial software ANSYS. Partial least squares regression analysis was carried out through actual measurement data and calculation results of geo-stress, and then fitting data was ready. Compared with the traditional least squares method, due to the advantage of principal component analysis in applying PLSRM, the present method decreases the regression error caused by the correlation between response variables. It can more effectively reflect the features of discontinuous geo-stress distribution and thus provides effective data support for establishing the geo-stress field.