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Geomechanics and Engineering
  Volume 24, Number 4, February25 2021 , pages 399-406

Probabilistic tunnel face stability analysis: A comparison between LEM and LAM
Qiujing Pan, Zhiyu Chen, Yimin Wu, Daniel Dias and Pierpaolo Oreste

    It is a key issue in the tunnel design to evaluate the stability of the excavation face. Two efficient analytical models in the context of the limit equilibrium method (LEM) and the limit analysis method (LAM) are used to carry out the deterministic calculations of the safety factor. The safety factor obtained by these two models agrees well with that provided by the numerical modelling by FLAC 3D, but consuming less time. A simple probabilistic approach based on the Mote-Carlo Simulation technique which can quickly calculate the probability distribution of the safety factor was used to perform the probabilistic analysis on the tunnel face stability. Both the cumulative probabilistic distribution and the probability density function in terms of the safety factor were obtained. The obtained results show the effectiveness of this probabilistic approach in the tunnel design.
Key Words
    safety factor; tunnel face; limit equilibrium method; limit analysis method; probabilistic analysis; Monte-Carlo simulation
Qiujing Pan, Zhiyu Chen and Yimin Wu: Department of Civil Engineering, Central South University, Changsha, Hunan, China

Daniel Dias: Laboratory 3SR, Grenoble Alpes University, CNRS UMR 5521, Grenoble, France

Pierpaolo Oreste: Department of Environmental, Land and Infrastructural Engineering, Politecnico di Torino, Italy

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