黏弹性岩体中圆形巷道位移反分析的唯一性研究  

Study on uniqueness of displacement back analysis of circular roadway in viscoelastic rock mass

作　　者：张志增[1] 尹晨旭 刘晓丽[2] 吴顺川 张兵 ZHANG Zhizeng;YIN Chenxu;LIU Xiaoli;WU Shunchuan;ZHANG Bing(School of Architecture and Civil Engineering,Zhongyuan University of Technology,Zhengzhou 450007,China;Department of Hydraulic Engineering,Tsinghua University,Beijing 100084,China;Faculty of Land Resources Engineering,Kunming University of Science and Technology,Kunming 650093,China;State Key Laboratory of Shield Machine and Boring Technology,Zhengzhou 450001,China)

机构地区：[1]中原工学院建筑工程学院,河南郑州450007 [2]清华大学水利水电工程系,北京100084 [3]昆明理工大学国土资源工程学院,云南昆明650093 [4]盾构及掘进技术国家重点实验室,河南郑州450001

出　　处：《中国矿业》2022年第5期163-170,180,共9页China Mining Magazine

基　　金：NSFC-河南省人才培养联合基金资助(编号:U1204509);河南省自然科学基金项目资助(编号:222300420596)。

摘　　要：为了研究黏弹性岩体位移反分析的唯一性问题,本文根据弹性岩体径向位移推导了黏弹性岩体中符合Maxwell模型的圆形巷道位移解析解,并根据参数可辨识性条件对黏弹性岩体中圆形巷道位移反分析的唯一性进行了研究。结果表明,无论布置多少个测点都不能唯一地反分析出所有的5个参数,至少已知2个参数才有可能唯一地反分析出其他参数;侧压力系数是否为1和地应力是否为0对反分析唯一性有明显的影响;随着已知参数的增多,参数的可辨识性增强;地应力和侧压力系数的可辨识性最好,弹性模量、泊松比和黏滞系数次之。研究结果对于岩体参数的反演计算具有一定的指导意义。In order to study the uniqueness of the displacement back analysis of viscoelastic rock mass,an analytical solution of circular tunnel displacement in viscoelastic rock mass conforming to Maxwell model is derived according to the radial displacement of elastic rock mass,and displacement back analysis of circular tunnel displacement in viscoelastic rock mass is studied according to the parameter identification condition.The results show that no matter how many measuring points are arranged,all the five parameters cannot be uniquely analyzed.At least two parameters must be known before other parameters can be uniquely back-analyzed.Whether the lateral pressure coefficient is 1 and the ground stress is 0 has obvious influence on the displacement back analysis.With the increase of known parameters,the discernibility of parameters increases.The coefficient of ground stress and lateral pressure is the best,followed by elastic modulus,Poisson s ratio and viscosity coefficient.The research results have certain guiding significance for the inversion calculation of rock mass parameters.

关 键 词：位移反分析 黏弹性 Maxwell模型 解析解 唯一性 

分 类 号：TD313[矿业工程—矿井建设]