基于有限元分析和多元线性回归的初始地应力场反演分析及应用

Inversion Analysis and Application of Initial Geostress Field Based on Finite Element Analysis and Multivariate Regression

摘要: 本文根据玲珑金矿的工程地质条件及实测地应力资料，运用有限元和多元线性回归数值分析方法，对该矿指定区域内的初始应力场进行回归反演分析。首先，利用航拍资料建立了研究区域的有限元模型，通过三维有限元分析方法获得了多种设定工况的应力分布。然后，采用具有迭代求精的多元回归分析方法，得出最优回归系数，从而确定了初始地应力场三维回归分析模型。最后，根据反演分析结果，讨论了对于初始地应力分布的影响因素。通过对比实测点的应力计算值与现场实测值，可确定两者在量值上相当，且方向上接近，表明经过回归得到的地应力场是合理的，可以比较精确地反映该金矿指定区域内的初始地应力场，为金矿开挖过程中的岩爆灾害预测与防护提供了可用的工具。

Abstract: Based on the engineering geological conditions and measured geostress data of the Linglong Gold Mine, this paper uses the finite element and multivariate regression analysis method to carry out the regression inversion analysis of the initial geostress field in the specific region of the mine. Firstly, the finite element model of the study area was established using the aerial photography data, and the stress distribution of various setting conditions was obtained by the three-dimensional finite element analysis method. Then, using the multivariate regression analysis method with iterative refinement, the optimal regression coefficient is obtained, and the initial three-dimensional regression analysis model of geostress field is determined. Finally, according to the results of inversion analysis, the influencing factors on the initial ground stress distribution are discussed. Through the comparison between computed and measured geostress values of measuring points, it can be determined that the two values are identical in magnitude and close in direction, indicating that the measured geostress field obtained by regression is reasonable, and can reflect the initial measured geostress field in the designated area of the gold mine more accurately, which provides a useful tool for the prediction and protection of rock burst disaster during the gold mine excavation.