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Lookup NU author(s): Professor Stefano Utili
This work is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0).
A set of analytical solutions is presented to calculate the stresses and displacements generated when two closelylocated circular tunnels are sequentially excavated in viscoelastic rock. The solutions are provided for circulartunnels excavated in time dependent rock for any type of linear viscoelastic model, e.g. Burgers and Poyting-Thomson model. In the presented solutions the sequential excavation of the tunnels is also accounted for. Theradii of the twin tunnels are time-dependent functions reflecting the excavation process adopted.The solutions are provided as analytical expressions in integral form. These were obtained by extending theprinciple of correspondence to solid media with time varying boundaries. A comparison of the stresses anddisplacements predicted by the analytical solutions and FEM analyses for an example case of twin tunnelsexcavated in a generalized Kelvin medium shows a good agreement between the two methods. Then, aparametric analysis was performed to investigate the influence of the tunnel spacing on displacements andstresses for various excavation processes. Several dimensionless charts summarizing the result of the parametricanalysis are provided for the benefit of practitioners.
Author(s): Wang HN, Zheng GS, Utili S, Jiang MJ, Wu L
Publication type: Article
Publication status: Published
Journal: International Journal of Rock Mechanics and Mining Sciences
Year: 2017
Volume: 93
Pages: 13-29
Print publication date: 01/03/2017
Online publication date: 16/01/2017
Acceptance date: 03/01/2017
Date deposited: 22/02/2017
ISSN (print): 1365-1609
ISSN (electronic): 1873-4545
Publisher: Pergamon Press
URL: http://dx.doi.org/10.1016/j.ijrmms.2017.01.002
DOI: 10.1016/j.ijrmms.2017.01.002
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