TY - JOUR
T1 - Analytical Solution for Seismic Response of Deep Tunnels with Arbitrary Cross-Section Shape in Saturated Orthotropic Rock
AU - Chen, Gong
AU - Yu, Haitao
AU - Bobet, Antonio
N1 - Publisher Copyright:
© 2022, The Author(s), under exclusive licence to Springer-Verlag GmbH Austria, part of Springer Nature.
PY - 2022/10
Y1 - 2022/10
N2 - Unified analytical solutions for stresses and displacements of a deep arbitrary shaped tunnel buried in saturated orthotropic rock subjected to seismic loading are presented. A pseudo-static load is used for the analysis, and the tunnel liner is isotropic and elastic and is modeled as a shell. Slip along the ground-liner interface is included. Two extreme conditions, drained and undrained, are considered in the analytical solution. The proposed analytical solution is derived using complex-variable theory and conformal mapping techniques. Validation of the solution is done by comparing its results with those obtained from a FEM, and with results from the literature. Parametric analyses are carried out for a typical section of rock tunnel, i.e. horse-shoe tunnel, to further investigate the influence of the cross-section shape on the tunnel response in orthotropic rock. In addition, the effects of the orientation of the axes of elastic symmetry with respect to the tunnel, as well as the loading conditions, namely drained and undrained, are discussed.
AB - Unified analytical solutions for stresses and displacements of a deep arbitrary shaped tunnel buried in saturated orthotropic rock subjected to seismic loading are presented. A pseudo-static load is used for the analysis, and the tunnel liner is isotropic and elastic and is modeled as a shell. Slip along the ground-liner interface is included. Two extreme conditions, drained and undrained, are considered in the analytical solution. The proposed analytical solution is derived using complex-variable theory and conformal mapping techniques. Validation of the solution is done by comparing its results with those obtained from a FEM, and with results from the literature. Parametric analyses are carried out for a typical section of rock tunnel, i.e. horse-shoe tunnel, to further investigate the influence of the cross-section shape on the tunnel response in orthotropic rock. In addition, the effects of the orientation of the axes of elastic symmetry with respect to the tunnel, as well as the loading conditions, namely drained and undrained, are discussed.
KW - Analytical solution
KW - Arbitrary cross-section shapes
KW - Deep tunnel
KW - Orthotropic anisotropic rock
KW - Seismic response
UR - http://www.scopus.com/inward/record.url?scp=85133157659&partnerID=8YFLogxK
U2 - 10.1007/s00603-022-02935-3
DO - 10.1007/s00603-022-02935-3
M3 - Article
AN - SCOPUS:85133157659
SN - 0723-2632
VL - 55
SP - 5863
EP - 5878
JO - Rock Mechanics and Rock Engineering
JF - Rock Mechanics and Rock Engineering
IS - 10
ER -