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本文给出了一种由洞周围岩位移量测值反馈确定地层初始地应力的有限元计算法,包括线弹性问题和非线性问题。文中不仅给出了计算原理和公式,而且给出了平面应变问题非线性有限元计算法的程序框图和算例验证,可供工程实践采用。这一方法的主要特点,是利用现场易于量测的位移信息进行分析计算,并适用于任意洞形地下洞室的任意开挖阶段。此外,文中给出的平面应变问题有限元计算法还可排除洞室开挖的空间效应的影响,并能单独确定初始构造地应力,以便较为精确地确定初始地应力场的分布现律。本文还根据数理统计原理考虑了提高计算精度的方法。
In this paper, a finite element method for calculating the initial formation stress from the rock displacement measurement around the cave is given, including the linear elastic problem and the nonlinear problem. The paper not only gives the calculation principle and formula, but also gives the program block diagram of the nonlinear finite element method of the plane strain problem and the validation of examples. It can be used in engineering practice. The main feature of this method is to use the displacement information easily measured in the field for analysis and calculation, and it can be applied to any excavation stage of any hole-shaped underground cavern. In addition, the finite element method of plane strain given in this paper can also exclude the influence of the spatial effect of excavation, and can determine the initial structural stress independently, so as to accurately determine the distribution law of the initial geostress field. This article also considers the method of improving the calculation accuracy based on the principle of mathematical statistics.