Elastoplastic Solutions for Surrounding Rock Masses of Deep-Buried Circular Tunnels with Non-Darcian Flow
Publication: International Journal of Geomechanics
Volume 19, Issue 7
Abstract
The significant characteristics of the non-Darcian flow of groundwater seepage in a low-permeability rock mass have been reported, but there have been few studies on the analytical solutions for deep-buried circular tunnels comprising non-Darcian flow. In this study, based on the theory of non-Darcian flow and well pumping, an analytical solution was derived for the seepage field of rock masses surrounding a deep-buried circular tunnel. With consideration of seepage force due to non-Darcian flow as a volume pressure added to the stress field of the rock masses, an elastoplastic analytical solution was derived on the basis of the unified yield criterion. The analytical solutions were validated by comparing with those for the cases of Darcian flow and disregard for seepage, and the influences of various parameters on the plastic zone radius, radial displacement, and support characteristic curve were investigated. The results showed that under the condition of non-Darcian flow, the seepage forces had a slower increasing trend toward the tunnels. The plastic zone radius and radial displacement of the rock masses with non-Darcian flow remained between the upper limits in the condition of Darcian flow and the lower limits of disregard for seepage. With an increase in the head loss between the internal and external sections of a tunnel and a decrease in the united yield criterion parameter and the exponential parameter at low gradients, the plastic zone radius and radial displacement at the tunnel walls tended to gradually increase. As the hydraulic head loss between the internal and external sections of a tunnel increased, the influences of united yield criterion parameter, exponential parameter, and supporting pressure on the plastic zone radius and radial displacement were more significant. The analytical solution presented in this study can be used to design a tunnel excavated in a low-permeability rock mass below a water table.
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Acknowledgments
The financial support provided by the Natural Science Foundation of Fujian province (Grant 2017J01671) and the National Natural Science Foundation of China (Grant 41572253) is gratefully acknowledged.
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Published In
International Journal of Geomechanics
Volume 19 • Issue 7 • July 2019
Copyright
© 2019 American Society of Civil Engineers.
History
Received: Jun 13, 2018
Accepted: Jan 4, 2019
Published online: Apr 18, 2019
Published in print: Jul 1, 2019
Discussion open until: Sep 18, 2019
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