A closed-form hydro-mechanical solution for deep tunnels in elastic anisotropic rock

摘要

In this work, a closed-form hydro-mechanical solution for stresses and displacements around a deep tunnel excavated in an anisotropic poro-elastic medium is presented. The developed analytical solution is conducted by using the well-known complex potential approach and including the hydraulic effect. The validation of this analytical solution is done by comparing with the numerical results obtained from the finite element method Aster-Code. Through some numerical applications, the effect of the anisotropic poro-elastic behaviour of rock mass on the distribution of stresses and displacements around the tunnel will be detailed. The obtained results demonstrated the essential role of pore pressure and the hydro-mechanical coupling on the response of the tunnel and the analytical solution developed in this contribution would be useful for tunnel design thanks to its quick evaluation of the stress and displacement fields in the medium.