Published

2018-04-01

Comparison between Numerical and Analytical Analysis of the Dynamic Behavior of Circular Tunnels

Comparación entre análisis numérico y método analítico del comportamiento dinámico de túneles circulares

DOI:

https://doi.org/10.15446/esrj.v22n2.72248

Keywords:

Dynamic behavior, wave propagation, underground structures, (en)
Comportamiento dinámico, onda de propagación, estructuras subterráneas, (es)

Downloads

Authors

  • Qingrui Lu East China University of Technology, School of Civil and Architecture Engineering, Nan Chang, China
  • Shijun Chen East China University of Technology, School of Civil and Architecture Engineering, Nan Chang, China
  • Yi Chang East China University of Technology, School of Civil and Architecture Engineering, Nan Chang, China
  • Chunfeng He East China University of Technology, School of Civil and Architecture Engineering, Nan Chang, China

Dynamic behavior of underground structures is controlled by the strain field imposed by wave propagation and by the interaction between rock mass and structures. Shear and pressure waves propagating in the plane of the cross-section of the tunnel generate ground distortions, which tend to cause ovaling deformations of the lining. In this paper, the seismic response of a circular tunnel subjected respectively to shear waves and pressure waves will be analyzed both analytically and numerically at first, and then a complete 3D analysis will be given to show the overall effects on a tunnel induced by seismic events considering seismic inputs in three directions.

El comportamiento dinámico de estructuras subterráneas se controla por el campo de deformación impuesta por la propagación de ondas y por la interacción entre la masa rocosa y las estructuras. La onda de cizallamiento y la onda de presión en el plano de sección transversal del túnel generan distorsiones del terreno que tienden a causar deformaciones ovaladas del revestimiento de la estructura. En este artículo se analiza la respuesta sísmica de un túnel circular sujeto respectivamente a ondas de cizallamiento y ondas de presión tanto analítica como numéricamente. Luego se muestra un análisis tridimensional completo para mostrar los efectos generales en un túnel producidos por eventos sísmicos y donde se consideran registros en tres direcciones.

References

Abija, F.A., & Nwankwoala, H.O. (2018). Characterization of Aquifers in Parts of Abia State Southeastern Nigeria. Earth Sciences Pakistan, 2 (1), pp. 18-22.

Barla, G., Barla, M., Perino, A., & Principito, M. (2008). Soluzioni analitiche e numeriche nella progettazione sismica delle opere in sotterraneo. In: Barla, G & Barla, M. (Eds.). Opere Geotecniche in Condizioni Sismiche. XII ciclo di conferenze di meccanica e ingegneria delle rocce (MIR 2008), 335−357.

Bobet, A. (2003). Effect of pore water pressure on tunnel support during static and seismic loading. Tunnelling and Underground Space Technology, 18, 377−393.

Burns, J. Q., & Richard, R. M. (1964). Attenuation of stresses for buried cylinders. Proceedings of the symposium on soil-structure interaction, University of Arizona at Tempe, Arizona.

Corigliano, M. (2007). Seismic response of rock tunnels in near-fault conditions. Doctoral thesis, Politecnico di Torino.

Dowding, C. H. (1970). Earthquake stability of rock tunnels. Tunnels and Tunnelling, 11(5), 15−20.

Esmaeili, M., Vahdani, S., & Noorzad, A. (2006). Dynamic response of lined circular tunnel to plane harmonic waves. Tunnelling and Underground Space Technology, 21(5), 511−519.

Harith, N.S.H., Kibata, L.H.C., & Mirasa, A.K. (2018). Suitability of Dbela Methods as Seismic Vulnerability Assesment For Buildings in Kota Kinabalu, Sabah. Geological Behavior, 2 (1), pp. 29-31.

Hashash, Y. M. A., Hook, J. J., Schmidt, B., & Yao, J. I. C. (2001). Seismic design and analysis of underground structures. Tunnelling and Underground Space Technology, 16, 247−293.

Hashash, Y. M. A., Park, D., & Yao, J. I. C. (2005). Ovaling deformations of circular tunnels under seismic loading, an update on seismic design and analysis of underground structures. Tunnelling and Underground Space Technology, 20, 435−441.

Hibbitt, Karlsson, & Sorensen Inc. (1999). ABAQUS User's Manual.

Hisada, Y. (1994). An efficient method for computing Green's functions for a layered halfspace with sources and receivers at close depths. Bulletin of Seismological Society of America, 84, 1456−1472.

Höeg, K. (1968). Stresses against underground structural cylinders. Journal of the Soil Mechanics and Foundations division ASCE 94, (SM4), 833−859.

Joe, E.J., Tongkul, F., & Roslee, R. (2018). Relationship Between Rainfall and Debris Flow Occurren ce in the Crocker Range of Sabah, Malaysia. Malaysian Journal of Geosciences, 2 (1), pp. 15-26.

John, C. M., & Zahrah, T. F. (1987). Aseismic design of underground structures. Tunnelling and Underground Space Technology, 2 (2).

Len, N.L.S., Bolong, N., Roslee, R., Tongkul, F., Mirasa, A.K., & Ayog, J.L. (2018). Flood Vulnerability of Critical Infrastructures - Review. Malaysian Journal of Geosciences, 2 (1), pp. 31-34.

Lysmer, J., Ostadan, F., Tabatabaie, M., Tajirian, F., & Vahdani, S. (1991). SASSI: A System for Analysis of Soil-Structure Interaction-User's Manual. Geotechnical Engineering Division, Civil Engineering Department, University of California at Berkeley, and Bechtel Corporation, San Francisco, California.

Mahmood, S., Kazmi, S.T., & Ali, S.S. (2018). Comparison of Drinking Water Bottles of Different Countries Along with Zamzam Water, Pakistan. Earth Sciences Pakistan, 2 (1), pp. 05-14.

Nwankwo, C., & Nwankwoala, H.O. (2018). Gully Erosion Susceptibility Mapping in Ikwuano Local Government Area of Abia State Using Gis Techniques. Earth Sciences Malaysia, 2 (1), pp. 08-15.

Nwankwoala, H.O., & Ememu, A. J. (2018). Hydrogeochemical Signatures and Quality Assessment of Groundwater in Okpoko And Environs, Southeastern Nigeria. Pakistan Journal of Geology, 2 (1), pp. 06-11.

Owen, G. N., & Scholl, R. E. (1981). Earthquake engineering of large underground structures. Report no. FHWA/RD-80/195. Federal Highway Administration and National Science Foundation.

Peck, R. B., Hendron, A. J., & Mohraz, B. (1972). State of the art in soft ground tunneling. 168 Proceedings of the Rapid Excavation and Tunneling Conference. American Institute of Mining, Metallurgical and Petroleum Engineers, New York, pp. 259−286.

Penzien, J. (2000). Seismically induced racking of tunnel linings. Earthquake engineering and structural dynamics, 29, 683−691.

Penzien, J., & Wu, C. L. (1998). Stresses in linings of bored tunnels. Earthquake engineering and structural dynamics, 27, 283−300.

Rahim, I.A., Tahir, S., Musta, B., & Roslee, R. (2018). Urbanization Vs. Environmental Quality: Some Observation In Telipok, Sabah, Malaysia. Geological Behavior, 2 (1), pp. 12-17.

Sharma, D., & Yadav, K.D. (2018). Application of rotary in-vessel composting and analytical hierarchy process for the selection of a suitable combination of flower waste. Geology, Ecology, and Landscapes, 2 (2), pp. 137-147.

Shi, G. (1988). Discontinuous Deformation Analysis-a new numerical method for the statistics and dynamics of block system. PhD Thesis, Department of Civil Engineering, University of California, Berkley. 378p.

Sunny, A.A., Omowumi, A., & Chris, O.A. (2018). Improved Magnetic Data Analyses and Enhancement Techniques for Lithological and Structural Mapping Around Akure, Southwestern Nigeria. Earth Sciences Malaysia, 2 (1), pp. 16-21.

Usman, M., Khalid, M.B., Yasin, H., Nasir, A., & Arslan, C. (2018). Impact of Industrial Effluents On Ground Water Quality- A Case Study Of Gujranwala, Pakistan. Pakistan Journal of Geology, 2 (1), pp. 18-20.

Veeraragavan, S., Duraisamy, R., & Mani, S. (2018). Prevalence and seasonality of insect pests in medicinally important plant Senna alata L. under tropical climate in the Coromandel Coast of India. Geology, Ecology, and Landscapes, 2 (3), pp. 177-187.

Yang, T., Sato, S., Savidis., Li, X.S. (2002). Horizontal and vertical components of earthquake ground motions at liquefiable sites. Soil Dynamics and Earthquake Engineering, 22, pp. 229-240

How to Cite

APA

Lu, Q., Chen, S., Chang, Y. and He, C. (2018). Comparison between Numerical and Analytical Analysis of the Dynamic Behavior of Circular Tunnels. Earth Sciences Research Journal, 22(2), 119–128. https://doi.org/10.15446/esrj.v22n2.72248

ACM

[1]
Lu, Q., Chen, S., Chang, Y. and He, C. 2018. Comparison between Numerical and Analytical Analysis of the Dynamic Behavior of Circular Tunnels. Earth Sciences Research Journal. 22, 2 (Apr. 2018), 119–128. DOI:https://doi.org/10.15446/esrj.v22n2.72248.

ACS

(1)
Lu, Q.; Chen, S.; Chang, Y.; He, C. Comparison between Numerical and Analytical Analysis of the Dynamic Behavior of Circular Tunnels. Earth sci. res. j. 2018, 22, 119-128.

ABNT

LU, Q.; CHEN, S.; CHANG, Y.; HE, C. Comparison between Numerical and Analytical Analysis of the Dynamic Behavior of Circular Tunnels. Earth Sciences Research Journal, [S. l.], v. 22, n. 2, p. 119–128, 2018. DOI: 10.15446/esrj.v22n2.72248. Disponível em: https://revistas.unal.edu.co/index.php/esrj/article/view/72248. Acesso em: 19 apr. 2024.

Chicago

Lu, Qingrui, Shijun Chen, Yi Chang, and Chunfeng He. 2018. “Comparison between Numerical and Analytical Analysis of the Dynamic Behavior of Circular Tunnels”. Earth Sciences Research Journal 22 (2):119-28. https://doi.org/10.15446/esrj.v22n2.72248.

Harvard

Lu, Q., Chen, S., Chang, Y. and He, C. (2018) “Comparison between Numerical and Analytical Analysis of the Dynamic Behavior of Circular Tunnels”, Earth Sciences Research Journal, 22(2), pp. 119–128. doi: 10.15446/esrj.v22n2.72248.

IEEE

[1]
Q. Lu, S. Chen, Y. Chang, and C. He, “Comparison between Numerical and Analytical Analysis of the Dynamic Behavior of Circular Tunnels”, Earth sci. res. j., vol. 22, no. 2, pp. 119–128, Apr. 2018.

MLA

Lu, Q., S. Chen, Y. Chang, and C. He. “Comparison between Numerical and Analytical Analysis of the Dynamic Behavior of Circular Tunnels”. Earth Sciences Research Journal, vol. 22, no. 2, Apr. 2018, pp. 119-28, doi:10.15446/esrj.v22n2.72248.

Turabian

Lu, Qingrui, Shijun Chen, Yi Chang, and Chunfeng He. “Comparison between Numerical and Analytical Analysis of the Dynamic Behavior of Circular Tunnels”. Earth Sciences Research Journal 22, no. 2 (April 1, 2018): 119–128. Accessed April 19, 2024. https://revistas.unal.edu.co/index.php/esrj/article/view/72248.

Vancouver

1.
Lu Q, Chen S, Chang Y, He C. Comparison between Numerical and Analytical Analysis of the Dynamic Behavior of Circular Tunnels. Earth sci. res. j. [Internet]. 2018 Apr. 1 [cited 2024 Apr. 19];22(2):119-28. Available from: https://revistas.unal.edu.co/index.php/esrj/article/view/72248

Download Citation

CrossRef Cited-by

CrossRef citations6

1. Md. Foisal Haque. (2023). Nonlinear anisotropic finite element analysis of liquefiable tunnel–sand–pile interaction under seismic excitation. Deep Underground Science and Engineering, 2(3), p.275. https://doi.org/10.1002/dug2.12054.

2. Nazim Abdul Nariman, Ayad Mohammad Ramadan, Ilham Ibrahim Mohammad. (2019). Application of coupled XFEM-BCQO in the structural optimization of a circular tunnel lining subjected to a ground motion. Frontiers of Structural and Civil Engineering, 13(6), p.1495. https://doi.org/10.1007/s11709-019-0574-y.

3. Ngoc Anh Do, Van Vi Pham, Daniel DIAS. (2023). A new pseudo-static loading scheme for the hyperstatic reaction method - case of sub-rectangular tunnels under seismic conditions. Sustainable and Resilient Infrastructure, 8(3), p.340. https://doi.org/10.1080/23789689.2023.2200521.

4. Md. Foisal Haque. (2024). Analytical solution of Tunnel-Soil-Tunnel (TST) interaction under seismic excitation. Geomechanics and Geoengineering, , p.1. https://doi.org/10.1080/17486025.2023.2300474.

5. Md. Foisal Haque, Mehedi Ahmed Ansary. (2024). Analytical formulations of tunnel–soil–pile interaction under seismic excitations. Earthquake Engineering and Resilience, 3(1), p.72. https://doi.org/10.1002/eer2.67.

6. Ali Lakirouhani, Mahshad Saberi. (2022). Evaluation of analytical solutions and two-dimensional models in estimating the internal forces of tunnel lining against seismic loading, compared with three-dimensional analysis. Arabian Journal of Geosciences, 15(12) https://doi.org/10.1007/s12517-022-10385-y.

Dimensions

PlumX

Article abstract page views

378

Downloads

Download data is not yet available.

License

Copyright (c) 2018 Earth Sciences Research Journal

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Earth Sciences Research Journal holds a Creative Commons Attribution license. 

You are free to:

Share — copy and redistribute the material in any medium or format
Adapt — remix, transform, and build upon the material for any purpose, even commercially.
The licensor cannot revoke these freedoms as long as you follow the license terms.