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Deformation and stress theory of surrounding rock of shallow circular tunnel based on complex variable function method

Guizhen Wang

Guizhen Wang

School of Architecture, Chongqing Vocational Institute of EngineeringChongqing, China
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Wang, Guizhen
, 
Linglong Zhou

Linglong Zhou

  • School of Architecture, Chongqing Vocational Institute of EngineeringChongqing, China
  • School of Business and Law, Edith Cowan UniversityJoondalup, Australia
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Zhou, Linglong
, 
Reem Alotaibi

Reem Alotaibi

Department of Information Technology, Faculty of Computing and Information Technology, King Abdulaziz UniversityJeddah, Saudi Arabia
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Alotaibi, Reem
 y 
Roaya Hdeib

Roaya Hdeib

Applied Science UniversityAl Eker, Kingdom of Bahrain
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Hdeib, Roaya
  
15 dic 2021
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Publicado en línea: 15 dic 2021
Páginas: 629 - 640
Recibido: 16 jun 2021
Aceptado: 24 sept 2021
DOI: https://doi.org/10.2478/amns.2021.1.00050
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© 2021 Guizhen Wang et al., published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.

Fig. 1

Two different circular tunnel support schemes.
Two different circular tunnel support schemes.

Fig. 2

Two different supporting models.
Two different supporting models.

Fig. 3

Construction caused vertical and horizontal displacement.
Construction caused vertical and horizontal displacement.

Fig. 4

Supporting axial force and supporting bending moment (/N·m).
Supporting axial force and supporting bending moment (/N·m).

Fig. 5

Supporting the first principal stress and supporting the third principal stress (/N).
Supporting the first principal stress and supporting the third principal stress (/N).

Fig. 6

Distribution of plastic zone of surrounding rock.
Distribution of plastic zone of surrounding rock.

Fig. 7

Vertical displacement and horizontal displacement caused by tunnel construction.
Vertical displacement and horizontal displacement caused by tunnel construction.

Fig. 8

Retaining wall foundation settlement diagram.
Retaining wall foundation settlement diagram.

Fig. 9

Supporting axial force and supporting bending moment (/N·m).
Supporting axial force and supporting bending moment (/N·m).

Fig. 10

Distribution of plastic zone of surrounding rock.
Distribution of plastic zone of surrounding rock.

Typical section safety factor of initial support structure

Key location Dome Left arch waist Right arch waist Left arch Right arch Left wall Right wall Left wall foot Right wall foot Inverted arch
Axial force/kN −137.5 −316.3 −238.1 −403.4 −489.4 −425.8 −537.1 −371.7 −407.6 −205.6
Moment/kN·m 11.87 −9.035 10.386 5.5608 15.619 −1.833 11.876 38.058 −36.01 −22.84
Safety factor 8.06 7.69 8.8 7.16 4.8 7.71 4.86 3.66 2.6 2.99

Summary of displacement calculation of key points of different supporting schemes (cm)

Support scheme Vault settlement Left arch horizontal displacement Right arch horizontal displacement Retaining wall foundation settlement
No retaining wall without crowded pile 4.72 4.4 1.7 –
Retaining wall + pipe shed 1.86 1.73 1.38 2.96

Model calculation of mechanical parameters

Material Density/kg/m3 Elastic Modulus/MPa Poisson's ratio Cohesion/kPa Internal friction angle/°
Expansive Soil 2000 50 0.3 35 23
Sandy loess 2000 50 0.3 28 45
Leading support 2000 60 0.3 33 53
Bolt reinforcement ring 2000 60 0.3 42 28
Initial support 2500 29.5E3 0.2 —— ——
Retaining wall 2500 29.5E3 0.2 —— ——
Lime-soil pile 2000 150 0.3 33.8 48
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Ciencias de la vida, Ciencias de la vida, otros, Matemáticas, Matemáticas aplicadas, Matemáticas generales, Física, Física, otros
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