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Uniqueness of Displacement Back Analysis for Transversely Isotropic Viscoelastic Rock Mass
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Zhizeng ZHANG1, 2, Haoran YU1, Xiaoli LIU3, Danqing SONG4, Weijian LIU1, Yanqing SHI5, Kai GONG5, Lei GE5
Mining Research and Development | 2025, 45(1) : 165 - 177
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Mining Research and Development | 2025, 45(1): 165-177
Uniqueness of Displacement Back Analysis for Transversely Isotropic Viscoelastic Rock Mass
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Zhizeng ZHANG1, 2, Haoran YU1, Xiaoli LIU3, Danqing SONG4, Weijian LIU1, Yanqing SHI5, Kai GONG5, Lei GE5
Affiliations
  • 1.School of Intelligent Construction and Civil Engineering, Zhongyuan University of Technology, Zhengzhou, Henan 450007, China
  • 2.College of Geosciences and Engineering, North China University of Water Resources and Electric Power, Zhengzhou, Henan 450046, China
  • 3.Department of Hydraulic and Hydropower Engineering, Tsinghua University, Beijing 100084, China
  • 4.School of Civil Engineering & Transportation, South China University of Technology, Guangzhou, Guangdong 510640, China
  • 5.Yuxi Jiangtong Expressway Co., Ltd., Yuxi, Yunnan 652600, China
Published: 2025-01-25
Outline
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In order to study the uniqueness of the displacement back analysis of isotropic viscoelastic rock mass, an analytical solution for the radial displacement of a circular roadway in a transversely isotropic viscoelastic rock mass was derived from the principle of elastic and viscoelastic correspondence principle. The uniqueness of the back analysis of displacement in transverse isotropic rock mass was studied according to the identifiable conditions of parameters. The results show that only knowing the displacement of the measuring point can not uniquely invert all the parameters. It is possible to uniquely invert other rock mass mechanical parameters only when at least 3 parameters are known in advance. The values of the vertical ground stress and the transverse ground stress have a significant influence on the identification of back analysis. The fewer the parameters to be solved, the more recognizable the parameters are. The initial ground stress parameters have the best identifiability, followed by Poisson's ratio, modulus of elasticity and viscosity coefficient on the isotropic surface, and the modulus of elasticity and viscosity coefficient normal to the isotropic surface are the worst. The research results provide a theoretical basis for the back analysis calculation of rock mass parameters.

Transverse isotropy  /  Viscoelasticity  /  Displacement analytic solution  /  Displacement back analysis  /  Uniqueness
张志增, 余浩然, 刘晓丽, 宋丹青, 刘伟建, 史砚青, 龚凯, 葛磊. 横观各向同性黏弹性岩体位移反分析的唯一性研究. 矿业研究与开发, 2025 , 45 (1) : 165 -177 .
Zhizeng ZHANG, Haoran YU, Xiaoli LIU, Danqing SONG, Weijian LIU, Yanqing SHI, Kai GONG, Lei GE. Uniqueness of Displacement Back Analysis for Transversely Isotropic Viscoelastic Rock Mass[J]. Mining Research and Development, 2025 , 45 (1) : 165 -177 .
Year 2025 volume 45 Issue 1
46
21
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  • Receive Date:2024-01-31
  • Online Date:2026-10-29
  • Published:2025-01-25
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  • Received:2024-01-31
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Affiliations
    1.School of Intelligent Construction and Civil Engineering, Zhongyuan University of Technology, Zhengzhou, Henan 450007, China
    2.College of Geosciences and Engineering, North China University of Water Resources and Electric Power, Zhengzhou, Henan 450046, China
    3.Department of Hydraulic and Hydropower Engineering, Tsinghua University, Beijing 100084, China
    4.School of Civil Engineering & Transportation, South China University of Technology, Guangzhou, Guangdong 510640, China
    5.Yuxi Jiangtong Expressway Co., Ltd., Yuxi, Yunnan 652600, China
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表12种不同金属材料的力学参数
科
Family
属数
Number of
genus
种数
Number of
species
占总种数比例
Percentage of
total species (%)
属
Genus
种数
Number of
species
占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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