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Geomechanics and Engineering
  Volume 22, Number 1, July10 2020 , pages 35-48

Deterministic and reliability-based design of necessary support pressures for tunnel faces
Bin Li, Kai Yao and Hong Li

    This paper provides methods for the deterministic and reliability-based design of the support pressures necessary to prevent tunnel face collapse. The deterministic method is developed by extending the use of the unique load multiplier, which is embedded within OptumG2/G3 with the intention of determining the maximum load that can be supported by a system. Both two-dimensional and three-dimensional examples are presented to illustrate the applications. The obtained solutions are validated according to those derived from the existing methods. The reliability-based method is developed by incorporating the Response Surface Method and the advanced first-order second-moment reliability method into the bisection algorithm, which continuously updates the support pressure within previously determined brackets until the difference between the computed reliability index and the user-defined value is less than a specified tolerance. Two-dimensional reliability-based support pressure is compared and validated via Monte Carlo simulations, whereas the three-dimensional solution is compared with the relationship between the support pressure and the resulting reliability index provided in the existing literature. Finally, a parametric study is carried out to investigate the influences of factors on the required support pressure.
Key Words
    tunnel face stability; necessary support pressure; strength reduction analysis; reliability-based design; bisection method
Bin Li and Hong Li: School of Transportation, Wuhan University of Technology, Hubei Highway Engineering Research Center, 1178 Heping Avenue, Wuhan, China

Kai Yao: 1.)School of Qilu Transportation, Shandong University, 12550 East Second Ring Road, Jinan, 250002, China
2.) Department of Civil and Environmental Engineering, National University of Singapore, 1 Engineering Drive 2, Singapore, 117576, Singapore

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