Stability of Asymmetric Parallel Tunnels in Cohesive-Frictional Soils
Publication: International Journal of Geomechanics
Volume 24, Issue 1
Abstract
In this paper, finite-element limit analysis (FELA) in conjunction with nonlinear programming was developed and applied to evaluate the stability of asymmetric parallel circular tunnels in cohesive-frictional soils subjected to surcharge pressure. Based on the feasible arc interior point algorithm, a new imprecise step search algorithm was proposed to improve the speed of solving the optimization models. Meanwhile, an empirical judgment criterion was established for detecting the infeasibility of the problem. Based on the FELA method, the lower bound and upper bound for the dimensionless stability number were obtained, which account for the influence of material properties, including the overburden stress factor γD/c and the soil internal frictional angle ϕ, and geometric parameters, such as the normalized spacing ratio S/D, cover depth ratio H/D, and diameter ratio R/D of two tunnels. To obtain tight bounds for the failure load of the problem, an adaptive remeshing strategy was used in all of the numerical simulations. To facilitate practitioners’ use, the calculated results were presented in the form of design tables and charts, and the failure modes for different parameters were compared and discussed.
Practical Applications
The stability numbers obtained from the present analysis are applicable to estimate the stability of asymmetric parallel circular tunnels in cohesive-frictional soils subjected to surcharge pressure. From the failure modes, engineers can identify critical sections of the asymmetric parallel tunnels where additional reinforcement or support may be required. This information can help to ensure that the asymmetric parallel tunnels remain stable during construction and in service, reducing the potential for failure and increasing the safety of the tunnels.
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Data Availability Statement
All data, models, or codes that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
The authors acknowledge the financial support from the Changsha Municipal Natural Science Foundation (No. kq2202063), the National Natural Science Foundation of China (Nos. 52108316 and 52208336), the Guangdong Basic and Applied Basic Research Foundation (Nos. 2023A1515011684, 2021A151501169, and 2023A1515012826), the Guangzhou Basic and Applied Basic Research Project (No. 2023A04J0983), the Science and Technology Program of Guangzhou Construction Engineering Co., Ltd., China ([2022]–KJ002, BH20220627543), and the Science and Technology Program of Guangzhou Municipal Construction Group Co., Ltd., China (BH20220627543, [2022]–KJ002), which made the work presented in this paper possible.
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Published In
International Journal of Geomechanics
Volume 24 • Issue 1 • January 2024
Copyright
© 2023 American Society of Civil Engineers.
History
Received: Feb 3, 2023
Accepted: Jul 11, 2023
Published online: Nov 7, 2023
Published in print: Jan 1, 2024
Discussion open until: Apr 7, 2024
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