| 粘弹性岩体中圆形巷道位移反分析的唯一性研究 |
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| 引用本文： | 张志增,尹晨旭,刘晓丽,吴顺川,张兵.粘弹性岩体中圆形巷道位移反分析的唯一性研究[J].中国矿业,2022,31(5). |
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| 作者姓名： | 张志增 尹晨旭 刘晓丽 吴顺川 张兵 |
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| 作者单位： | 中原工学院,中原工学院,清华大学水利试点工程系,昆明理工大学国土资源工程学院,盾构及掘进技术国家重点实验室 |
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| 基金项目： | NSFC-河南省人才培养联合基金(NO.U1204509),河南省自然科学基金项目(No. 222300420596) |
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| 摘 要： | 为了研究粘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粘弹性岩体中符合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粘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;必须至少已知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、泊松比和粘滞系数次之。研究结果对于岩体参数的反演计算具有一定的指导意义。
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| 关 键 词： | 位移反分析 粘弹性 Maxwell模型 解析解 唯一性 |
| 收稿时间： | 2021/11/8 0:00:00 |
| 修稿时间： | 2022/5/10 0:00:00 |
Research on uniqueness of recerse analysis of circular roadway displacement in viscoelastic rock mass |
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| ZHANG Zhizeng,YIN Chenxu,LIU Xiaoli,WU Sunchuan,ZHANG Bing.Research on uniqueness of recerse analysis of circular roadway displacement in viscoelastic rock mass[J].China Mining Magazine,2022,31(5). |
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| Authors: | ZHANG Zhizeng YIN Chenxu LIU Xiaoli WU Sunchuan ZHANG Bing |
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| Affiliation: | Zhongyuan University of Technology,Zhongyuan University of Technology,Department of Hydraulic and Hydropower Engineering, Tsinghua University,Faculffl of land and Resources Engineering ,Kunming University of Science and Technology, Kunming,R & D Department, State Key Laboratory of Shield Machine and Boring Technology |
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| Abstract: | In order to study the uniqueness of the back analysis of displacement 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 the uniqueness of the 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 uniqueness of the 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. |
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| Keywords: | Displacement back analysis Viscoelasticity Maxwell model Analytical solution uniqueness |
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