A Simplified 3D Theoretical Model for Calculating the Surface Settlement Induced by Tunnel Undercrossing Excavation
Publication: International Journal of Geomechanics
Volume 23, Issue 10
Abstract
When calculating the surface settlement caused by tunnel excavation, the conventional stochastic medium theory is complicated by integration. Particularly for tunnel undercrossing excavation, it shows large errors in calculating the surface settlement. In this paper, the conventional 2D stochastic medium theory is simplified by means of a nonuniform convergence. Based on the Sagaseta formula, the ground loss along the tunnel excavation direction is derived, and the 2D model is extended to calculate the 3D surface settlement. Furthermore, the effect of the existing tunnel is considered by the equivalent layered method, and the simplified 3D model is proposed for calculating the surface settlement induced by tunnel undercrossing excavation. The simulated and measured data are compared with the predicted results of the theoretical model, and the characteristics of the 3D surface settlement are investigated. The results show that compared with the surface settlement in the non-undercrossing section, the surface settlement in the undercrossing section has a larger lateral range. However, the maximum settlement value is significantly reduced, and the surface settlement trough curve is characterized as “wider and shallower.” The results of the proposed model are in better agreement with the simulated and measured data than those of the conventional stochastic medium theory and have higher correlation and broader applicability.
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Data Availability Statement
The data for reproducing this work are available upon direct contact with the corresponding author upon reasonable request.
Acknowledgments
This study was supported by the National Natural Science Foundation of China (Nos. 52178391 and 52108378), the National Key R&D Program of China (2018YFC0808703), and the Young Elite Scientists Sponsorship Program by CAST (2021QNRC001).
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Published In
International Journal of Geomechanics
Volume 23 • Issue 10 • October 2023
Copyright
© 2023 American Society of Civil Engineers.
History
Received: Jan 1, 2023
Accepted: May 7, 2023
Published online: Aug 10, 2023
Published in print: Oct 1, 2023
Discussion open until: Jan 10, 2024
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