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  Analytical and Numerical Study of the Support Pressure for the Stability of Shallow Underground Openings

  This paper describes the problem of assessing the stability conditions of shallow excavation of circular shape, namely circular sections of long cylindrical tunnels, in ground as it is modelled with a Mohr-Coulomb material. Firstly, the problem results in a closed-form statically admissible solution for cavities under the horizontal ground surface that allows an estimation of minimum support pressure. The effects of the depth of the cavity in relation to its radius, and the effect of the support pressure in relation to the cohesion and the frictional angle of the ground, on the stability of the ground are examined. Secondly, the analytical solution has been examined with a finite element simulation. A quantitative comparison of required support pressure with the published analytical solution and with the numerical simulation presented in this paper will give a way to evaluate the stability of the ground due to tunnel excavation near the ground surface.

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