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Theoretical analysis of grouting reinforcement of surrounding rock with strength drop in deep chamber

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Abstract

Excavation disturbance of deep chamber can easily cause the broken and deterioration of surrounding rock, bringing hidden danger to construction safety. Based on post-peak strength drop model, considering the influence of grouting seepage force, the analytical solutions of stress and displacement of surrounding rock in deep circular chamber before and after grouting were deduced by using orthogonal non-associated flow rule. Then, the evolution laws of stress and displacement with different chamber depths, radii and grouting thicknesses were analyzed in detail. Finally, the correctness of the theoretical solutions was verified by an engineering field. Results show that grouting has a good modulating control effect on the stress contribution and displacement of the surrounding rock, while on the magnitudes of the stress is not obvious; the influence of chamber depth on the stress and displacement of surrounding rock is significant, while chamber radius and grouting thickness is insignificant.

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Abbreviations

p 0 :

Hydrostatic stress

p i :

Internal pressure at chamber wall

r a :

Radius of the chamber

r g :

Radius of grouting zone

r p :

Radius of plastic zone

E :

Elastic modulus of surrounding rock

μ :

Poisson’s ratio of surrounding rock

σ r :

Radial stress

σ θ :

Circumferential stress

ε r :

Radial strain

ε θ :

Circumferential strain

t :

Normalized dimensionless length

r :

Radial distance from the center of the chamber

u :

Radial displacement

Φ :

Stress function

σ 1 :

Major principal stress

σ 3 :

Minor principal stress

ε 1 :

Major principal strain

ε 3 :

Minor principal strain

η :

Material constant for Mohr–Coulomb rock mass

ξ :

Material constant for Mohr–Coulomb rock mass

c :

Cohesion of surrounding rock

φ :

Internal friction angle of surrounding rock

Ψ :

Dilation angle

Θ :

Dilation coefficient

p wat :

Pore water pressure

p w :

Grouting pressure

t g :

Normalized dimensionless radius of grouting zone

t p :

Normalized dimensionless radius of plastic zone

Superscript e:

Elastic part of strain

Superscript p:

Plastic part of strain

Subscript g:

Refers to quantities corresponding to the grouting zone

Subscript e:

Refers to quantities corresponding to the elastic zone

Subscript p:

Refers to quantities corresponding to the plastic zone

Subscript pe:

Refers to quantities corresponding at elastic–plastic interface

Subscript pg:

Refers to quantities corresponding at the interface between the grouting zone and the plastic zone

Subscript r:

Values of rock mass parameters after strength drop

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Acknowledgements

This Project is supported by the National Natural Science Foundation of China (Grant No. 51774196).

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Authors and Affiliations

  1. College of Energy and Mining Engineering, Shandong University of Science and Technology, Qingdao, 266590, China

    Zenghui Zhao, Canlin Li, Zhe Meng & Hao Liu

  2. State Key Laboratory of Mining Disaster Prevention and Control Co-founded by Shandong Province and the Ministry of Science and Technology, Shandong University of Science and Technology, Qingdao, 266590, China

    Zenghui Zhao

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  1. Zenghui Zhao
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Correspondence to Zenghui Zhao.

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Zhao, Z., Li, C., Meng, Z. et al. Theoretical analysis of grouting reinforcement of surrounding rock with strength drop in deep chamber. Acta Mech 234, 4801–4819 (2023). https://doi.org/10.1007/s00707-023-03629-9

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  • DOI: https://doi.org/10.1007/s00707-023-03629-9

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