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在地下工程设计中,横截面上二维初始应力场是地下洞室稳定性分析的重要依据,必须首先需要解决的问题之一。初始应力场一般通过现场试验来测定,但费工费时而且往往很难得到理想效果。在洞室开挖时,利用现场监测资料进行反馈计算能得到较理想的初始应力场。20世纪80年代后提出了多种位移反分析方法,用少数的实测数据分析洞室稳定性,获得较为满意的结果,已得到广泛应用。但应力监测的反馈分析仍鲜为人知。采用穆斯海里什维里弹性平面问题的复变函数解法的基本原理,对非圆形地下洞室应力反馈分析进行了探讨,相应地推导了一系列公式。对映射函数的推求采用实际边界上几个控制点的限定方法,简捷又方便。
In underground engineering design, two-dimensional initial stress field in cross-section is an important basis for stability analysis of underground caverns, and one of the problems that must be solved first. The initial stress field is usually measured by field test, but it takes time and often does not get ideal results. In the excavation of the cavern, using the on-site monitoring data to calculate the feedback can get a better initial stress field. After the 1980s, a variety of displacement back analysis methods have been proposed. With a few measured data, the stability of caverns has been obtained and satisfactory results have been obtained, which have been widely used. However, feedback analysis of stress monitoring is still poorly understood. Based on the basic principle of the complex function method of the Moores-Hirshivier elastic plane problem, the stress-feedback analysis of the non-circular underground cavern is discussed, and a series of formulas are derived accordingly. The derivation of mapping function adopts the method of defining several control points on the actual boundary, which is simple and convenient.