Undrained Stability of Dual Circular Tunnels
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VIEW THE REPLYPublication: International Journal of Geomechanics
Volume 14, Issue 1
Abstract
In this paper, numerical limit analysis and semianalytical rigid block techniques are used to investigate the effect of the tunnel spacing on the stability of two circular tunnels excavated side by side. The tunnels are modeled under plane-strain conditions, which implies that they are assumed to be infinitely long. Bounds on the stability of the tunnels are obtained using finite-element limit analysis, the numerical formulation of which is based on the upper and lower bounds theorems of classical plasticity. Solutions are obtained using advanced conic programming schemes to solve the resulting optimization problems, and upper and lower bound estimates on the stability of the tunnels are obtained for a range of geometries. These bounds, which bracket the true collapse load from above and below, are found to differ by at most 5% for the cases where the solution does not approach zero. Results from this study are summarized in stability charts for use by practitioners.
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Acknowledgments
The research reported in this paper was made possible by Australian Laureate Fellowship Grant No. FL0992039 awarded to Prof. Scott Sloan by the Australian Research Council. The authors are grateful for this support.
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Published In
International Journal of Geomechanics
Volume 14 • Issue 1 • February 2014
Pages: 69 - 79
Copyright
© 2014 American Society of Civil Engineers.
History
Received: May 29, 2012
Accepted: Jan 16, 2013
Published online: Jan 15, 2014
Published in print: Feb 1, 2014
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