Technical Papers
Jan 4, 2018

Seismic Vulnerability Analysis of Rock Mountain Tunnel

Publication: International Journal of Geomechanics
Volume 18, Issue 3

Abstract

Seismic fragility analysis is a way to study the vulnerability of structures considering various uncertainties. In the paper, a seismic vulnerability analysis of rock mountain tunnels is proposed. The uniform design method (UDM), a computationally economic method for experiment design, is adopted here. Through the UDM, experiment samples are generated considering variability of the variables. Different tunnel depths, tunnel scales, rock masses, and lining thicknesses are considered. Verified dynamical finite element analysis is carried out to develop probabilistic seismic demand models. The fragility curves are established based on probabilistic seismic demand models. It is concluded that (1) UDM can generate good samples considering different sources of uncertainties; (2) a comparison between the established vulnerability curves and the empirical ones validate the feasibility of the developed methodology.

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Acknowledgments

The author would like to thank for Prof. Tai-Tien Wang for advising on this paper. The authors thank the High Speed Railway and Natural Science United Foundation (U1434206), the Natural Science Foundation (51038009), the Natural Science Foundation (51578463), the Fundamental Research Funds for the Central Universities (Grant Number: SWJTU11ZT33), and the Innovative Research Team of the Ministry of Education, China (No. IRT0955) for their financial support.

References

Alembagheri, M., and Seyedkazemi, M. (2015). “Seismic performance sensitivity and uncertainty analysis of gravity dams.” Earthquake Eng. Struct. Dyn., 44(1), 41–58.
American Lifeline Alliance (ALA) (2001). “Seismic fragility formulations for water systems, part 1–guideline.” ASCE–FEMA, Washington, DC.
Amorosi, A., and Boldini, D. (2009). “Numerical modelling of the transverse dynamic behaviour of circular tunnels in clayey soils.” Soil Dyn. Earthquake Eng., 29(6), 1059–1072.
Andreotti, G., Lai, C. G., and Martinielli, M. (2013). “Seismic fragility functions of deep tunnels: A new cumulative damage model based on lumped plasticity and rotation capacity.” Proc., Int. Conf. on Earthquake Geotechnical Engineering, Springer, Istanbul.
Argyroudis, S. A., and Pitilakis, K. D. (2012). “Seismic fragility curves of shallow tunnels in alluvial deposits.” Soil Dyn. Earthquake Eng., 35, 1–12.
Asakura, T., Shiba, Y., Matsuoka, S., Oya, T., and Yashiro, K. (2007). “Damage to mountain tunnels by earthquakes and its mechanism.” Doboku Gakkai Ronbunshu, 659(659), 819–824.
Asakura, T., and Sato, Y. (1998). “Mountain tunnels damage in the 1995 HYOGOKEN-NANBU earthquake.” Quart. Rep. Railway Tech. Res. Inst., 39, 9–16.
Applied Technology Council (ATC). (1985). “Earthquake damage evaluation data for California.” ATC-13, Redwood City, CA.
ASCE-FEMA. (2004). “Direct physical damage to lifelines-transportation systems.” HAZUS-MH: Technical manuals, ASCE-FEMA, Washington DC.
Baker, J. W. (2005). “Vector-valued ground motion intensity measures for probabilistic seismic demand analysis.” Ph.D. thesis, Stanford Univ., Stanford, CA.
Baker, J. W., and Cornell, C. A. (2006). “Vector-valued ground motion intensity measures for probabilistic seismic demand analysis.” University of California Press, Berkeley, CA.
Barbato, M., Gu, Q., and Conte, J. P. (2010). “Probabilistic push-over analysis of structural and soil-structure systems.” J. Struct. Eng., 1330–1341.
Bardet, J. P., Ichii, K., and Lin, C. H. (2000). EERA, a computer program for equivalent-linear earthquake site response analyses of layered soil deposits. University of Southern California Press, Los Angeles.
Chen, C.-H., Wang, T.-T., Jeng, F.-S., and Huang, T.-H. (2012). “Mechanisms causing seismic damage of tunnels at different depths.” Tunnelling Underground Space Technol., 28, 31–40.
Corigliano, M., Lai, C. G., and Barla, G. (2007). “Seismic vulnerability of rock tunnels using fragility curves.” Proc., 11th Congress of the International Society for Rock Mechanics, Taylor and Francis, Lisbon, Portugal, 1173–1176.
Cornell, C. A., Jalayer, F., Hamburger, R. O., and Foutch, D. A. (2002). “Probabilistic basis for 2000 SAC Federal Emergency Management Agency steel moment frame guidelines.” J. Struct. Eng., 526–533.
Cornell, C. A., and Krawinkler, H. (2000). “Progress and challenges in seismic performance assessment.” Peer Center News, 20(2), 130–139.
Data Processing System (DPS) [Computer software]. Hangzhou RuiFeng Information Technology, Hangzhou, China.
Fang, K. T., Lin, D. K. J., Winker, P., and Zhang, Y. (2000). “Uniform design: Theory and application.” Taylor and Francis, Abingdon, U. K.
Fang, K. T., Wang, Y, and Bentler, P. M. (1994). “Some applications of number-theoretic methods in statistics.” Stat. Sci. 9(3), 416–428.
Fotopoulou, S., and Pitilakis, K. (2013). “Fragility curves for reinforced concrete buildings to seismically triggered slow-moving slides.” Soil Dyn. Earthquake Eng., 48, 143–161.
Hashash, Y. M. A., Hook, J. J., Schmidt, B., and I-Chiang Yao, J. (2001). “Seismic design and analysis of underground structures.” Tunnelling Underground Space Technol., 16(4), 247–293.
Hashash, Y. M. A., Park, D., and Yao, J. I. C. (2005). “Ovaling deformations of circular tunnels under seismic loading, an update on seismic design and analysis of underground structures.” Tunnelling Underground Space Technol., 20(5), 435–441.
Hickernell, F. J. (1998). “A generalized discrepancy and quadrature error bound.” Math. Comput., 67, 299–322.
Hoek, E. (2001). “Big tunnels in bad rock.” J. Geotech. Geoenviron. Eng., 726–740.
Hua, L.-K., and Wang, Y. (1981). Applications of number theory to numerical analysis, Springer-Verlag, Berlin.
Jeong, S.-H., and Elnashai, A. S. (2007). “Fragility relationships for torsionally-imbalanced buildings using three-dimensional damage characterization.” Eng. Struct., 29(9), 2172–2182.
Jiang, Y., Wang, C., and Zhao, X. (2010). “Damage assessment of tunnels caused by the 2004 Mid Niigata Prefecture earthquake using Hayashi’s quantification theory type II.” Nat. Hazard., 53(3), 425–441.
Kim, H., Shin, C., Lee, T., Lee, J., and Park, D. (2014). “A study on the development of the seismic fragility functions of the high speed railway tunnels in use.” J. Korean Geo-Environ. Soc., 15(11), 67–75.
Krammer, S. L. (1996). Geotechnical earthquake engineering, Prentice-Hall, Upper Saddle River, NJ.
Le, T. S., Huh, J., and Park, J.-H. (2014). “Earthquake fragility assessment of the underground tunnel using an efficient SSI analysis approach.” J. Appl. Math. Phys., 1073–1078.
Lee, T.-H., Park, D., Nguyen, D. D., and Park, J.-S. (2016). “Damage analysis of cut-and-cover tunnel structures under seismic loading.” Bull. Earthquake Eng., 14(2), 413–431.
Li, X., Li, X., and Su, Y. (2016). “A hybrid approach combining uniform design and support vector machine to probabilistic tunnel stability assessment.” Struct. Saf., 61, 22–42.
Liu, Z., Juang, C. H., and Atamturktur, S. (2013). “Confidence level-based robust design of cantilever retaining walls in sand.” Comput. Geotech., 52, 16–27.
Lü, Q., Chan, C. L., and Low, B. K. (2012). “Probabilistic evaluation of ground-support interaction for deep rock excavation using artificial neural network and uniform design.” Tunnelling Underground Space Technol., 32, 1–18.
Lü, Q., Xiao, Z.-P., Ji, J., Zheng, J., and Shang, Y.-Q. (2017). “Moving least squares method for reliability assessment of rock tunnel excavation considering ground-support interaction.” Comput. Geotech., 84, 88–100.
Mackie, K. R., and Stojadinović, B. (2007). “Performance-based seismic bridge design for damage and loss limit states.” Earthquake Eng. Struct. Dyn., 36(13), 1953–1971.
MATLAB [Computer software]. MathWorks, Natick, MA.
Mayoral, J. M., Argyroudis, S., and Castañon, E. (2016). “Vulnerability of floating tunnel shafts for increasing earthquake loading.” Soil Dyn. Earthquake Eng., 80, 1–10.
Ministry of Housing and Urban–Rural Development of PRC (2011). “Concrete structures code” GB(50010-2010), Chinese Construction Industry Press, Beijing. (In Chinese)
Mollon, G., Dias, D., and Soubra, A. H. (2009). “Probabilistic analysis and design of circular tunnels against face stability.” Int. J. Geomech., 237–249.
Newmark, N. M. (1968). “Problems in wave propagation in soil and rock.” Proc., Int. Symp. on Wave Propagation and Dynamic Properties of Earth Materials, University New Mexico Press, Albuquerque, NM, 7–26.
Niederreiter, H. (1992). “Random number generation and quasi-Monte Carlo methods.” J. Am. Stat. Assoc., 88(89), 147–153.
Osmi, S. K. C., Ahmad, S. M., and Adnan, A. (2015). “Seismic fragility analysis of underground tunnel buried in rock.” Proc., Int. Conf. on Earthquake Engineering and Seismology, Springer, Germany.
Padgett, J. E., Nielson, B. G., and DesRoches, R. (2008). “Selection of optimal intensity measures in probabilistic seismic demand models of highway bridge portfolios.” Earthquake Eng. Struct. Dyn, 37(5), 711–725.
Pao, Y.-H. (1962). “Dynamical stress concentration in an elastic plate.” J. Appl. Mech., 29(2), 299–305.
Paolucci, R., and Pitilakis, K. (2007). “Seismic risk assessment of underground structures under transient ground deformations.” Proc., Earthquake Geotechnical Engineering: 4th Int. Conf. on Earthquake Geotechnical Engineering—Invited Lectures, Springer Netherlands, Dordrecht, Netherlands, 433–459.
Peck, R. B. (1972). “State of the art in soft ground tunneling.” Proc., Rapid Excavation and Tunneling Conf., American Institute of Mining, Metallurgical and Petroleum Engineers, New York, 259–286.
Pitilakis, K., Alexoudi, M., Argyroudis, S., Monge, O. and Martin, C. (2006). “Earthquake risk assessment of lifelines.” Bull. Earthquake Eng., 4(4), 365–390.
Ramanathan, K. N. (2012). “Next generation seismic fragility curves for California bridges incorporating the evolution in seismic design philosophy.” Ph.D. thesis, Georgia Institute of Technology, Atlanta, GA.
Schweiger, H. F., and Peschl, G. M. (2005). “Reliability analysis in geotechnics with the random set finite element method.” Comput. Geotech., 32(6), 422–435.
Sedarat, H., Kozak, A., Hashash, Y. M. A., Shamsabadi, A., and Krimotat, A. (2009). “Contact interface in seismic analysis of circular tunnels.” Tunnelling Underground Space Technol., 24(4), 482–490.
Selva, J., Argyroudis, S., and Pitilakis, K. (2013). “Impact on loss/risk assessments of inter-model variability in vulnerability analysis.” Nat. Hazard., 67(2), 723–746.
Shinozuka, M., Feng, M. Q., Lee, J., and Naganuma, T. (2000). “Statistical analysis of fragility curves.” J. Eng. Mech., 1224–1231.
Tang, Q. Y., and Zhang, C. X. (2013). “Data processing system (DPS) software with experimental design, statistical analysis and data mining developed for use in entomological research.” Insect Sci, 20(2), 254–260.
Vamvatsikos, D., and Fragiadakis, M. (2010). “Incremental dynamic analysis for estimating seismic performance sensitivity and uncertainty.” Earthquake Eng. Struct. Dyn., 39(2), 141–163.
Wang, J.-N. (1993). Seismic design of tunnels. A simple state-of-the-art design approach, Parsons, Brinckerhoff, New York.
Wang, J. P., Wu, Y.-M., and Huang, D. (2015). “Major earthquakes around Taipei and a seismic hazard assessment with Monte Carlo simulation.” Nat. Hazard. Rev., 04015003.
Wang, W. L., Wang, T. T., Su, J. J., Lin, C. H., Seng, C. R., and Huang, T. H. (2001). “Assessment of damage in mountain tunnels due to the Taiwan Chi-Chi Earthquake.” Tunnelling Underground Space Technol. 16(3), 133–150.
Wang, Y., and Fang, K. T. (1981). “A note on uniform distribution and experimental design.” Kexue Tongbao, 26(6), 65–70.
Wang, Z. Z., and Zhang, Z. (2013). “Seismic damage classification and risk assessment of mountain tunnels with a validation for the 2008 Wenchuan earthquake.” Soil Dyn. Earthquake Eng., 45, 45–55.
Yashiro, K., Kojima, Y., and Shimizu, M. (2007). “Historical earthquake damage to tunnels in Japan and case studies of railway tunnels in the 2004 Niigataken–Chuetsu earthquake.” Quarterly Rep. Railway Tech. Res. Inst., 48(3), 136–141.
Zevgolis, I. E., and Bourdeau, P. L. (2010). “Probabilistic analysis of retaining walls.” Comput. Geotech., 37(3), 359–373.

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Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 18Issue 3March 2018

History

Received: Feb 9, 2016
Accepted: Sep 11, 2017
Published online: Jan 4, 2018
Published in print: Mar 1, 2018
Discussion open until: Jun 4, 2018

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Authors

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Wenge Qiu
Professor, Key Laboratory of Transportation Tunnel Engineering, Ministry of Education, School of Civil Engineering, Southwest Jiaotong Univ., Chengdu 610031, PR China.
Guang Huang, S.M.ASCE [email protected]
Ph.D. Student, Key Laboratory of Transportation Tunnel Engineering, Ministry of Education, School of Civil Engineering, Southwest Jiaotong Univ., Chengdu 610031, PR China (corresponding author). E-mail: [email protected]
Huichao Zhou
Master Student, Key Laboratory of Transportation Tunnel Engineering, Ministry of Education, School of Civil Engineering, Southwest Jiaotong Univ., Chengdu 610031, PR China.
Weiping Xu
Associate Professor, Key Laboratory of Transportation Tunnel Engineering Ministry of Education, School of Civil Engineering, Southwest Jiaotong Univ., Chengdu 610031, PR China.

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