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Rock Mechanics and Rock Engineering

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11-04-2023 | Original Paper

Analytical solution for seismic response of deep tunnels with an arbitrary cross-section and voids behind the liner

Authors: Gong Chen, Haitao Yu, Antonio Bobet

Published in: Rock Mechanics and Rock Engineering | Issue 7/2023

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Abstract

A novel analytical solution for the stresses and displacements of deep tunnels buried in isotropic or orthotropic rock with voids behind the liner is proposed. The solution is suitable for tunnels with any cross-section and voids at arbitrary locations. Plane strain conditions are assumed along the axis of the tunnel, and the seismic demand is assumed as a pseudo-static far-field shear load. The ground and the liner are assumed to have a tied contact except at the void location, where a non-contact condition is imposed. The conformal mapping method and analytic function theory, in complex analysis, are used to obtain the solution. A comparison between the results obtained from the analytical method and those from a FEM is used to validate the solution. Parametric analyses are conducted to explore the influence of tunnel cross-section shape, void location, void size and relative stiffness between the ground and the liner on the seismic performance of tunnels.

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Title: Analytical solution for seismic response of deep tunnels with an arbitrary cross-section and voids behind the liner
Authors: Gong Chen
Haitao Yu
Antonio Bobet
Publication date: 11-04-2023
Publisher: Springer Vienna
Published in: Rock Mechanics and Rock Engineering / Issue 7/2023
Print ISSN: 0723-2632
Electronic ISSN: 1434-453X
DOI: https://doi.org/10.1007/s00603-023-03323-1

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