多元线性回归法在某隧洞地应力场反演中的应用

Application of multiple linear regression in inversion of tunnel ground stress

为弥补地应力实测点的不足,有必要通过多元线性回归方法反演地应力场。针对某深埋隧道,以水压致裂法实测地应力为依据,开展了该洞段地应力场的反演分析。在介绍反演基本原理和误差分析的基础上,给出了实例分析结果。研究结果表明,由多元线性回归计算得到的地应力值与实测结果规律一致,可用于评价工程洞段的地应力场分布;受水平构造应力、断裂构造等影响,该洞段地应力场存在一定空间变异性。

To overcome the drawbacks of insufficient measuring point of ground stress, it is necessary to invert the ground stress field by multiple linear regression method. Aiming at a deep - buried tunnel, according to the ground stress data measured by hydraulic fracturing method, the inversion of ground stress is carried out. Based on the introduction to the basic inversion theo- ry and error analysis, the inverted results of ground stress are provided. The results show that the calculated results by multiple linear regression is in accordance with the measured data, so it is feasible to be applied in the evaluation of groundstress in the presented tunnel section; due to the influence from horizontal tectonic stress and fracture structure, the ground stress in the pres- ented section reveals some spatial variability.