Seismic distortions of a deep circular tunnel in elastic slightly anisotropic ground

Tunnels must withstand not only the demands stemming from normal working conditions but also from extreme events such as earthquakes. Indeed, there is consistent evidence in the technical literature that indicates that tunnels are vulnerable to damage and must be designed to adequately support the d...

Full description

Bibliographic Details
Main Authors: Antonio Bobet, Haitao Yu
Format: Article
Language:English
Published: KeAi Communications Co., Ltd. 2017-06-01
Series:Underground Space
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2467967417300132
_version_ 1797725885578608640
author Antonio Bobet
Haitao Yu
author_facet Antonio Bobet
Haitao Yu
author_sort Antonio Bobet
collection DOAJ
description Tunnels must withstand not only the demands stemming from normal working conditions but also from extreme events such as earthquakes. Indeed, there is consistent evidence in the technical literature that indicates that tunnels are vulnerable to damage and must be designed to adequately support the demand imposed by the earthquake. Such demand should be estimated using dynamic numerical methods that include soil-structure interaction and incorporate realistic models for the support and surrounding ground. For preliminary analysis, however, or when the seismic demand is insufficient to take the ground beyond its elastic regime, analytical solutions may provide a reasonable estimate of the tunnel behavior, especially if the tunnel is sufficiently far from the seismic source such that a pseudo-static analysis is acceptable. Most analytical solutions are based on the assumption that the ground is isotropic, which may not be realistic, as e.g. depositional processes may result in engineering properties that depend on the direction of deposition. The work presented in the paper builds on the results by Bobet (2011, 2016) who provided closed-form solutions for deep tunnels in elastic transversely anisotropic ground; however, the paper provides much simpler solutions for those cases where the ground is slightly anisotropic. A comparison between the approximate and the exact solutions shows that the errors are negligible when the ground anisotropy is small and grow, albeit slowly, as the ground anisotropy increases. The conclusion applies to different loading conditions, drained and undrained, and to different ground-support interfaces, tied or frictionless.
first_indexed 2024-03-12T10:37:45Z
format Article
id doaj.art-77a82d1fac1649bbb6838182b10bba6e
institution Directory Open Access Journal
issn 2467-9674
language English
last_indexed 2024-03-12T10:37:45Z
publishDate 2017-06-01
publisher KeAi Communications Co., Ltd.
record_format Article
series Underground Space
spelling doaj.art-77a82d1fac1649bbb6838182b10bba6e2023-09-02T08:28:52ZengKeAi Communications Co., Ltd.Underground Space2467-96742017-06-012213414710.1016/j.undsp.2017.05.001Seismic distortions of a deep circular tunnel in elastic slightly anisotropic groundAntonio Bobet0Haitao Yu1Lyles School of Civil Engineering, Purdue University, West Lafayette, IN 47907, USAKey Laboratory of Geotechnical and Underground Engineering of Ministry of Education, Tongji University, Shanghai 200092, ChinaTunnels must withstand not only the demands stemming from normal working conditions but also from extreme events such as earthquakes. Indeed, there is consistent evidence in the technical literature that indicates that tunnels are vulnerable to damage and must be designed to adequately support the demand imposed by the earthquake. Such demand should be estimated using dynamic numerical methods that include soil-structure interaction and incorporate realistic models for the support and surrounding ground. For preliminary analysis, however, or when the seismic demand is insufficient to take the ground beyond its elastic regime, analytical solutions may provide a reasonable estimate of the tunnel behavior, especially if the tunnel is sufficiently far from the seismic source such that a pseudo-static analysis is acceptable. Most analytical solutions are based on the assumption that the ground is isotropic, which may not be realistic, as e.g. depositional processes may result in engineering properties that depend on the direction of deposition. The work presented in the paper builds on the results by Bobet (2011, 2016) who provided closed-form solutions for deep tunnels in elastic transversely anisotropic ground; however, the paper provides much simpler solutions for those cases where the ground is slightly anisotropic. A comparison between the approximate and the exact solutions shows that the errors are negligible when the ground anisotropy is small and grow, albeit slowly, as the ground anisotropy increases. The conclusion applies to different loading conditions, drained and undrained, and to different ground-support interfaces, tied or frictionless.http://www.sciencedirect.com/science/article/pii/S2467967417300132Seismic behaviorDeep tunnelTransversely anisotropic groundDrained and undrained loading
spellingShingle Antonio Bobet
Haitao Yu
Seismic distortions of a deep circular tunnel in elastic slightly anisotropic ground
Underground Space
Seismic behavior
Deep tunnel
Transversely anisotropic ground
Drained and undrained loading
title Seismic distortions of a deep circular tunnel in elastic slightly anisotropic ground
title_full Seismic distortions of a deep circular tunnel in elastic slightly anisotropic ground
title_fullStr Seismic distortions of a deep circular tunnel in elastic slightly anisotropic ground
title_full_unstemmed Seismic distortions of a deep circular tunnel in elastic slightly anisotropic ground
title_short Seismic distortions of a deep circular tunnel in elastic slightly anisotropic ground
title_sort seismic distortions of a deep circular tunnel in elastic slightly anisotropic ground
topic Seismic behavior
Deep tunnel
Transversely anisotropic ground
Drained and undrained loading
url http://www.sciencedirect.com/science/article/pii/S2467967417300132
work_keys_str_mv AT antoniobobet seismicdistortionsofadeepcirculartunnelinelasticslightlyanisotropicground
AT haitaoyu seismicdistortionsofadeepcirculartunnelinelasticslightlyanisotropicground