Abstract
As typical karst products, caves are highly concealed, thus resulting in the increase of rock permeability and the deterioration of rock mechanics. When the shield tunnel passes through karst area, the confined water cave near the excavation face can easily result in hazards such as water inrush, shield head drooping. Therefore, it is important to determine the critical safety distance between the karst cave and the shield tunnel. In this paper, a three-dimensional failure model was built when the karst cave was located in front of the tunnel. And then the corresponding analytical solution to the critical safety distance between regular karst cave and tunnel was deduced based on upper bound theorem of limit analysis. Additionally, the sensitivity curve of different parameters to critical safety distance was drawn by using the Matlab program, aiming to analyze the effects of rock mass parameters, karst cave parameters and geometric parameters on critical safety distance. Based on the optimizing dichotomy and rock mass instability criterion, the reliability of the above critical safety distance formula was further verified by using COMSOL Multiphysics. The results confirmed that this method can provide reference for the design and construction of karst tunnel in the future.
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Acknowledgements
The research was supported by the Transportation Technology Program of Shandong Province, China [grant number 2019B47_1]; Research and innovation team project of College of civil engineering and architecture, Shandong University of science and technology, China [grant number 2019TJKYTD02]; Shandong Provincial Key Research and Development Program (NO.2019JZZY010428).
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Liu, Q., Sun, S., Wang, H. et al. A Calculation Method for Safety Distance Between the Confined Karst Cave and the Shield Tunnel Based on Upper Bound Theorem. Geotech Geol Eng 38, 6587–6599 (2020). https://doi.org/10.1007/s10706-020-01456-6
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DOI: https://doi.org/10.1007/s10706-020-01456-6