Seismic Response Analysis of Tunnel through Fault Considering Dynamic Interaction between Rock Mass and Fault
Abstract
:1. Introduction
2. Seismic Deterioration Effect of Contact Interface
2.1. Influencing Factors for the Seismic Deterioration of Contact Interface
2.2. Calculation Formula for the Vibration Deterioration Coefficient
3. Contact Conditions and Contact States
3.1. Contact Conditions
- (1)
- Contact Displacement Conditions
- (2)
- Contact Force Conditions
3.2. Contact States
- (1)
- Bond Contact State
- (2)
- Separation State
- (3)
- Sliding Contact State
- (4)
- Static Contact State
4. Dynamic Contact Analysis Method for Rock Mass and Fault
4.1. Fundamental Theory of the Dynamic Contact Force Method
4.2. Solving for the Contact Force and Judging of the Contact State
- (1)
- Point-to-Point Contact Type
- (2)
- Point-to-Surface Contact Type
4.3. Calculation Flow of the Improved Dynamic Contact Force Method
5. Verification of the Method
6. Engineering Case Study
6.1. Engineering Profiles and Calculation Model
6.2. Calculation Conditions
6.3. Analysis of Calculation Results
6.3.1. Relative Movement and Seismic Deterioration Analysis of the Contact Interface
6.3.2. Displacement Analysis of the Lining
6.3.3. Stress and Damage Analysis of the Lining
6.4. Discussion
6.4.1. Influences of Fault Thickness on Seismic Response of the Lining
6.4.2. Influences of Fault Dip Angle on Seismic Response of the Lining
7. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
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Case | Initial Displacement | Initial Velocity | Vertical Load | Horizontal Load | Friction Coefficient |
---|---|---|---|---|---|
1 | 0 | 0 | −30 | 24 t | 0.4 |
2 | 0 | −20 | −25 | 20 | 0.4 |
Material | Elastic Modulus (GPa) | Poisson Ratio | Internal Friction Angle (°) | Cohesive Force (MPa) | Tensile Strength (MPa) | Compressive Strength (MPa) | Density (g∙cm−3) |
---|---|---|---|---|---|---|---|
Fault | 0.3 | 0.33 | 24.2 | 0.1 | 0.50 | 10.0 | 2.0 |
Lining | 30.0 | 0.17 | 46.0 | 2.0 | 1.43 | 12.7 | 2.5 |
Rock | 5.0 | 0.29 | 35.0 | 0.6 | 1.30 | 40.0 | 2.7 |
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Liu, G.; Zhang, Y.; Ren, J.; Xiao, M. Seismic Response Analysis of Tunnel through Fault Considering Dynamic Interaction between Rock Mass and Fault. Energies 2021, 14, 6700. https://doi.org/10.3390/en14206700
Liu G, Zhang Y, Ren J, Xiao M. Seismic Response Analysis of Tunnel through Fault Considering Dynamic Interaction between Rock Mass and Fault. Energies. 2021; 14(20):6700. https://doi.org/10.3390/en14206700
Chicago/Turabian StyleLiu, Guoqing, Yanhong Zhang, Junqing Ren, and Ming Xiao. 2021. "Seismic Response Analysis of Tunnel through Fault Considering Dynamic Interaction between Rock Mass and Fault" Energies 14, no. 20: 6700. https://doi.org/10.3390/en14206700