基于Kelvin模型的圆形巷道位移反分析的唯一性  

Uniqueness of displacement back analysis for circular roadway based on Kelvin model

作　　者：张志增[1] 程一桐 周林豪 余浩然 刘丰林 Zhang Zhizeng;Cheng Yitong;Zhou Linhao;Yu Haoran;Liu Fenglin(School of Civil Engineering and Architecture,Zhongyuan University of Technology)

机构地区：[1]中原工学院建筑工程学院

出　　处：《黄金》2024年第1期17-22,共6页Gold

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

摘　　要：讨论了黏弹性岩体中圆形巷道位移反分析的唯一性问题。以Kelvin模型为研究对象,在圆形巷道位移解析解的基础上,利用参数可辨识条件,对岩体参数进行了位移反分析唯一性的研究。结果表明:无论测量出多少个测点的位移,都不能唯一地反分析出所有岩体参数,至少要已知2个参数,才有可能唯一地反分析出其余参数;随着已知参数的增多,各参数的可辨识性逐渐增强;竖向地应力与水平地应力是否相等,且二者作为已知条件时其大小是否为0对反分析结果有较为明显的影响;适当减少待反演参数的数量对提升反分析结果的唯一性有显著影响;所有参数中地应力具有最好的可辨识性,其次是弹性模量,泊松比及黏滞系数最差。This paper discusses the uniqueness of displacement back analysis for circular roadways in viscoelastic rock masses.Taking the Kelvin model as the research subject,based on the analytical solution of displacement for cir cular roadways,the uniqueness of displacement back analysis for rock mass parameters is studied using parameter identifiability conditions.The results show that regardless of the number of measured displacement points,it is not pos sible to uniquely back analyze all rock mass parameters with only one known parameter.At least 2 parameters must be known in order to potentially back analyze the remaining parameters;as more parameters become known,the identifi ability of each parameter gradually improves;whether the vertical and horizontal ground stresses are equal and whether they are set to zero as known conditions have a significant impact on the back analysis results;properly reducing the number of parameters to be inverted has a significant effect on enhancing the uniqueness of the back analysis results;among all parameters,the ground stress exhibits the best identifiability,followed by elastic modulus,while Poisson s ra tio and viscosity coefficient show the poorest identifiability.

关 键 词：岩土工程 黏弹性岩体 KELVIN模型 位移反分析 参数可辨识性 唯一性 

分 类 号：TD313[矿业工程—矿井建设]