The Study for Longitudinal Deformation of Adjacent Shield Tunnel Due to Foundation Pit Excavation with Consideration of the Retaining Structure Deformation
Abstract
:1. Introduction
2. Study on the Sidewall Unloading of the Foundation Pit
2.1. The Deficiency of the Existing Foundation Pit Unloading Model
2.2. An Unloading Model Considering the Deformation of Retaining Structure
3. Additional Stress Distribution Caused by the Excavation of the Foundation Pit
3.1. Numerical Model and the Area Division of the Unloading Impact
3.2. Calculation of Additional Stress Caused by Sidewall Unloading of the Foundation Pit
4. Longitudinal Deformation of the Shield Tunnel by the Side of the Foundation Pit
4.1. Collaborative Deformation Mode of the Shield Tunnel with Rotation and Dislocation
4.2. The Total Potential Energy of the Shield Tunnel during Deformation
- (1)
- Work done by the horizontal additional load caused by the excavation of the foundation pit:
- (2)
- Work done by overcoming the soil layer resistance:
- (3)
- Work done by overcoming the shear forces between the rings:
- (4)
- Work done by overcoming the tension caused by rotation between the rings:
4.3. Fourier Expansion of the Curve Function of the Shield Tunnel’s Horizontal Displacement
4.4. Solve the Variational Control Equation
5. Engineering Case Analysis
5.1. Case History 1
5.2. Case History 2
6. Analyzing the Influence Factors of the Adjacent Tunnel’s Longitudinal Deformation
6.1. Deformation Control Parameters of the Foundation Pit Retaining Structure vmax/He
6.2. The Clearance s between the Foundation Pit and the Tunnel
6.3. The Buried Depth h of the Tunnel
7. Conclusions
- (1)
- The calculated results of the method in this paper are in good agreement with the measured values, and the horizontal displacement of the shield tunnel axis by the side of the foundation pit presents a normal distribution. The longitudinal deformation of the adjacent tunnel is mainly caused by the unloading effect of the foundation pit sidewall, which is parallel and close to the tunnel. When the excavation depth is in the soil layer near the buried depth of the adjacent tunnel, the longitudinal deformation of the shield tunnel by the side of the foundation pit will increase sharply. Thus, more attention should be paid to the control of the tunnel’s deformation in this working condition.
- (2)
- The horizontal displacement near the excavation center of the foundation pit is relatively large, but the values of the dislocation and rotation angle between the segment rings are relatively small. The maximum rotation angle between the segment rings, the maximum dislocation and the maximum shear force between the segment rings all appear in the vicinity of the two inflexion points of the horizontal displacement curve of the tunnel.
- (3)
- With the increase of the retaining structure’s deformation, the longitudinal deformation of the adjacent shield tunnel and its influence range also increase. The longitudinal deformation of the adjacent shield tunnel decreases with the increase of the clearance between the foundation pit and the tunnel. The foundation pit’s excavation has a great influence on the adjacent shield tunnel at a shallow burial depth. Moreover, the impacts on the tunnel caused by the excavation decrease with the increase of the burial depth of the adjacent tunnel.
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
References
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Zhang, X.; Wei, G.; Jiang, C. The Study for Longitudinal Deformation of Adjacent Shield Tunnel Due to Foundation Pit Excavation with Consideration of the Retaining Structure Deformation. Symmetry 2020, 12, 2103. https://doi.org/10.3390/sym12122103
Zhang X, Wei G, Jiang C. The Study for Longitudinal Deformation of Adjacent Shield Tunnel Due to Foundation Pit Excavation with Consideration of the Retaining Structure Deformation. Symmetry. 2020; 12(12):2103. https://doi.org/10.3390/sym12122103
Chicago/Turabian StyleZhang, Xinhai, Gang Wei, and Chengwu Jiang. 2020. "The Study for Longitudinal Deformation of Adjacent Shield Tunnel Due to Foundation Pit Excavation with Consideration of the Retaining Structure Deformation" Symmetry 12, no. 12: 2103. https://doi.org/10.3390/sym12122103
APA StyleZhang, X., Wei, G., & Jiang, C. (2020). The Study for Longitudinal Deformation of Adjacent Shield Tunnel Due to Foundation Pit Excavation with Consideration of the Retaining Structure Deformation. Symmetry, 12(12), 2103. https://doi.org/10.3390/sym12122103