Abstract

The lining rings of a shield tunnel are connected by steel bolts, which play an important role in longitudinal structural deformation during long-term operation. In recent decades, there have been increasing numbers of tunnel-crossing projects. In order to better understand the impact of undercrossing excavations on existing tunnels and to provide a quick and effective tool for evaluating the behaviors of existing tunnels before construction, a simplified analytical method is proposed. In the proposed model, a tunnel was simplified into a series of short beams connected by shear, tensile, and compressive springs, and the Pasternak two-parameter foundation model was used to describe the tunnel–soil interaction. The tunnel model not only considers the shear effect between the linings but also the rotation effect of the lining ring. The field data from two cases were used to compare with the calculated results, and the predictions were found to be in good agreement with the measured data, thus verifying the effectiveness of the method.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

This study was mainly supported by the “National Key Research and Development Program of the 13th Five-Year Plan of China [subproject No. 2016YFC080250504].” The authors declare that they have no conflicts of interest.

References

Attewell, P. B., J. Yeates, and A. R. Selby. 1986. “Soil movements induced by tunnelling and their effects on pipelines and structures.” Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 24 (4): 163. https://doi.org/10.1016/0148-9062(87)90453-0.
Biot, M. A. 1937. “Bending of an infinite beam on an elastic foundation.” J. Appl. Mech. 4 (1): A1–A7. https://doi.org/10.1115/1.4008739.
Cheng, W. C., J. C. Ni, and S. L. Shen. 2017. “Experimental and analytical modeling of shield segment under cyclic loading.” Int. J. Geomech. 17 (6): 04016146. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000810.
Franza, A., A. M. Marshall, T. Haji, A. O. Abdelatif, S. Carbonari, and M. Morici. 2017. “A simplified elastic analysis of tunnel-piled structure interaction.” Tunnelling Underground Space Technol. 61: 104–121. https://doi.org/10.1016/j.tust.2016.09.008.
Jin, D., D. Yuan, X. Li, and H. Zheng. 2018a. “An in-tunnel grouting protection method for excavating twin tunnels beneath an existing tunnel.” Tunnelling Underground Space Technol. 71: 27–35. https://doi.org/10.1016/j.tust.2017.08.002.
Jin, D., D. Yuan, X. Li, and H. Zheng. 2018b. “Analysis of the settlement of an existing tunnel induced by shield tunneling underneath.” Tunnelling Underground Space Technol. 81: 209–220. https://doi.org/10.1016/j.tust.2018.06.035.
Klar, A., T. E. B. Vorster, K. Soga, and R. J. Mair. 2005. “Soil—pipe interaction due to tunnelling: Comparison between Winkler and elastic continuum solutions.” Géotechnique 55 (6): 461–466. https://doi.org/10.1680/geot.2005.55.6.461.
Li, P., S. J. Du, S. L. Shen, Y. H. Wang, and H. H. Zhao. 2016. “Timoshenko beam solution for the response of existing tunnels because of tunneling underneath.” Int. J. Numer. Anal. Methods Geomech. 40 (5): 766–784. https://doi.org/10.1002/nag.2426.
Li, X., and D. Yuan. 2016. “Development of the safety control framework for shield tunneling in close proximity to the operational subway tunnels: Case studies in mainland China.” Springer Plus 5 (1): 557. https://doi.org/10.1186/s40064-016-2168-7.
Liang, R. Z., W. Wu, F. Yu, G. Jiang, and J. Liu. 2018a. “Simplified method for evaluating shield tunnel deformation due to adjacent excavation.” Tunnelling Underground Space Technol. 71: 94–105. https://doi.org/10.1016/j.tust.2017.08.010.
Liang, R. Z., T. Xia, M. Huang, and C. Lin. 2017. “Simplified analytical method for evaluating the effects of adjacent excavation on shield tunnel considering the shearing effect.” Comput. Geotech. 81: 167–187. https://doi.org/10.1016/j.compgeo.2016.08.017.
Liang, R. Z., M. F. Zong, C. Kang, W. B. Wen, Y. X. Fang, T. D. Xia, and K. Cheng. 2018b. “Longitudinal impacts of existing shield tunnel due to down-crossing tunneling considering shield tunnel shearing effect.” [In Chinese.] J. Zhejiang Univ. 52 (3): 420–430. https://doi.org/10.3785/j.issn.1008-973X.2018.03.002.
Lin, X. T., R. P. Chen, H. N. Wu, and H. Z. Cheng. 2019. “Deformation behaviors of existing tunnels caused by shield tunneling undercrossing with oblique angle.” Tunnelling Underground Space Technol. 89: 78–90. https://doi.org/10.1016/j.tust.2019.03.021.
Liu, B., Z. W. Yu, Y. H. Han, Z. L. Wang, R. H. Zhang, and S. J. Wang. 2020. “Analytical solution for the response of an existing tunnel induced by above-crossing shield tunneling.” Comput. Geotech. 124: 103624. https://doi.org/10.1016/j.compgeo.2020.103624.
Loganathan, N., and H. G. Poulos. 1998. “Analytical prediction for tunneling-induced ground movements in clays.” J. Geotech. Geoenviron. Eng. 124 (9): 846–856. https://doi.org/10.1061/(ASCE)1090-0241(1998)124:9(846).
Mindlin, R. D. 1936. “Force at a point in the interior of a semi-infinite solid.” J. Appl. Phys. 7 (5): 195–202. https://doi.org/10.1063/1.1745385.
Pasternak, P. L. 1954. On a new method of analysis of an elastic foundation by means of two foundation constants. [In Russian.] Moscow: Gosudarstvennoe Izdatelstvo Literaturi po Stroitelstvu i Arkhitekture.
Talmon, A. M., and A. Bezuijen. 2013. “Calculation of longitudinal bending moment and shear force for Shanghai Yangtze River tunnel: Application of lessons from Dutch research.” Tunnelling Underground Space Technol. 35: 161–171. https://doi.org/10.1016/j.tust.2013.01.001.
Tanahashi, H. 2004. “Formulas for an infinitely long Bernoulli-Euler beam on the Pasternak model.” Soils Found. 44 (5): 109–118. https://doi.org/10.3208/sandf.44.5_109.
Terzaghi, K. 1955. “Evaluation of coefficients of subgrade reaction.” Géotechnique 5 (4): 297–326. https://doi.org/10.1680/geot.1955.5.4.297.
Vesic, A. B. 1961. “Bending of beams resting on isotropic elastic solids.” J. Eng. Mech. 87 (2): 35–53. https://doi.org/10.1061/JMCEA3.0000212.
Vorster, T. E. B., A. Klar, K. Soga, and R. J. Mair. 2005. “Estimating the effects of tunneling on existing pipelines.” J. Geotech. Geoenviron. Eng. 131 (11): 1399–1410. https://doi.org/10.1061/(ASCE)1090-0241(2005)131:11(1399).
Wei, X. J., W. Q. Hong, G. Wei, and G. H. Yu. 2018. “Rotation and shearing dislocation deformation of subway tunnels due to adjacent ground stack load.” [In Chinese.] Chin. J. Rock Mech. Eng. 37 (5): 1281–1289. https://doi.org/https://10.13722/j.cnki.jrme.2017.1576.
Winkler, E. 1867. Die Lehre von der Elastizität und Festigkeit. [In Germany.] Prague, CZ: H. Dominicus.
Wu, H. N., S. L. Shen, S. M. Liao, and Z. Y. Yin. 2015. “Longitudinal structural modelling of shield tunnels considering shearing dislocation between segmental rings.” Tunnelling Underground Space Technol. 50: 317–323. https://doi.org/10.1016/j.tust.2015.08.001.
Wu, H. N., S. L. Shen, J. Yang, and A. Zhou. 2018. “Soil-tunnel interaction modelling for shield tunnels considering shearing dislocation in longitudinal joints.” Tunnelling Underground Space Technol. 78: 168–177. https://doi.org/10.1016/j.tust.2018.04.009.
Yuan, W., H. Fu, J. Zhang, and Z. Huang. 2018. “Analytical prediction for tunneling-induced ground movements with modified deformation pattern.” Int. J. Geomech. 18 (6): 04018039. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001156.
Zhang, D. M., Z. K. Huang, Z. L. Li, X. Zong, and D. M. Zhang. 2019a. “Analytical solution for the response of an existing tunnel to a new tunnel excavation underneath.” Comput. Geotech. 108: 197–211. https://doi.org/10.1016/j.compgeo.2018.12.026.
Zhang, X., X. Ou, J. Yang, and J. Fu. 2017. “Deformation response of an existing tunnel to upper excavation of foundation pit and associated dewatering.” Int. J. Geomech. 17 (4): 04016112. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000814.
Zhang, Z., and M. Huang. 2014. “Geotechnical influence on existing subway tunnels induced by multiline tunneling in Shanghai soft soil.” Comput. Geotech. 56: 121–132. https://doi.org/10.1016/j.compgeo.2013.11.008.
Zhang, Z., M. Huang, and W. Wang. 2013. “Evaluation of deformation response for adjacent tunnels due to soil unloading in excavation engineering.” Tunnelling Underground Space Technol. 38: 244–253. https://doi.org/10.1016/j.tust.2013.07.002.
Zhang, Z., M. Huang, X. Xi, and X. Yang. 2018. “Complex variable solutions for soil and liner deformation due to tunneling in clays.” Int. J. Geomech. 18 (7): 04018074. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001197.
Zhang, Z., M. Huang, C. Zhang, K. Jiang, and M. Lu. 2019b. “Time-domain analyses for pile deformation induced by adjacent excavation considering influences of viscoelastic mechanism.” Tunnelling Underground Space Technol. 85: 92–99. https://doi.org/10.1016/j.tust.2018.12.020.
Zhou, N., and Y. Yuan. 2009. “Correlation of cross-river shield tunnel between longitudinal deformation curvature and segment leakage.” [In Chinese.] J. Tongji Univ. 37 (11): 1446–1451.

Information & Authors

Information

Published In

Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 21Issue 8August 2021

History

Received: Apr 1, 2020
Accepted: Mar 12, 2021
Published online: May 20, 2021
Published in print: Aug 1, 2021
Discussion open until: Oct 20, 2021

Permissions

Request permissions for this article.

Authors

Affiliations

Bo Liu, Ph.D. [email protected]
Professor, School of Mechanics & Civil Engineering, China Univ. of Mining and Technology, Beijing 100083, China (corresponding author). Email: [email protected]
Postgraduate Student, School of Mechanics & Civil Engineering, China Univ. of Mining and Technology, Beijing 100083, China. Email: [email protected]
Ronghui Zhang [email protected]
Postgraduate Student, School of Mechanics & Civil Engineering, China Univ. of Mining and Technology, Beijing 100083, China. Email: [email protected]
Yanhui Han, Ph.D. [email protected]
Dept. of Civil, Environmental and Geo-Engineering, Univ. of Minnesota, Minneapolis 55455-0116. Email: [email protected]
Zhiliu Wang, Ph.D. [email protected]
Lecturer, School of Civil Engineering and Architecture, Zhongyuan Univ. of Technology, Zhengzhou 450007, China. Email: [email protected]
Shijie Wang [email protected]
Postgraduate Student, School of Mechanics & Civil Engineering, China Univ. of Mining and Technology, Beijing 100083, China. Email: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

  • Analytical Solution for Pipeline Settlement Law Using Shield Tunnel Excavation Underneath Based on Vlasov–Timoshenko Model Considering Lateral Soil Action, International Journal of Geomechanics, 10.1061/IJGNAI.GMENG-8876, 24, 7, (2024).
  • Risk analysis and countermeasures of TBM tunnelling over the operational tunnel, Frontiers in Earth Science, 10.3389/feart.2023.1103405, 11, (2023).
  • Analysis of Shear Stagger Deformation of Existing Shield Tunnel below Induced by Quasirectangular Shield Tunneling, Geofluids, 10.1155/2023/3195453, 2023, (1-15), (2023).
  • Theoretical analysis on the deformation of existing tunnel caused by under-crossing of large-diameter slurry shield considering construction factors, Tunnelling and Underground Space Technology, 10.1016/j.tust.2022.104913, 133, (104913), (2023).
  • Analytical solution for longitudinal deformation of shield tunnel induced by overcrossing tunnelling considering circumferential joints, Journal of Rock Mechanics and Geotechnical Engineering, 10.1016/j.jrmge.2022.12.028, (2023).
  • Mathematical modelling for shield tunneling induced displacement effects on in-service tunnel: theoretical solution including shearing deformation of segment and stiffness reduction of circumferential joints, Applied Mathematical Modelling, 10.1016/j.apm.2023.01.031, 118, (322-345), (2023).
  • Foundation Settlement Response of Existing High-Speed Railway Bridge Induced by Construction of Undercrossing Roads, Sustainability, 10.3390/su14148700, 14, 14, (8700), (2022).

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share