Seismic fragility assessment of circular metro tunnels in loess deposit

Abstract

The deterministic method is always adopted for the seismic resistance of loess tunnels. Considering the randomness of ground motions, the seismic fragility assessment of a shallowly buried circular tunnel in the loess region was carried out under pseudo-static conditions with seismic loading in the transversal direction. The displacements calculated by one-dimensional analysis were applied to obtain the seismic responses of the tunnel. Then the maximum damage index was output by a compiled Python program. The optimality of intensity measures was briefly discussed through the testing criteria of correlation, efficiency, practicality, and proficiency. Fragility curves were generated based on the fragility function in terms of peak ground acceleration (PGA) and peak ground velocity (PGV) to evaluate the tunnel’s seismic performance. The results show that the vulnerable parts that shift with different PGAs in conjugate directions are particularly prone to suffering damage. And PGA and PGV are identified as the appropriate indices for predicting the probability of tunnels in various damage states. Void behind the arch dome can increase the fragility of tunnels, and the tunnels embedded in softer sites become more vulnerable to seismic damage.

Keywords

loess tunnel / seismic fragility assessment / seismic performance / damage index / pseudo-static analysis

References

[1] BroereW. Urban underground space: Solving the problems of today’s cities. Tunnelling and Underground Space Technology, 2016, 55: 245-248 J]

[2] WangW L, WangT T, SuJ J, et al. . Assessment of damage in mountain tunnels due to the Taiwan Chi-Chi Earthquake. Tunnelling and Underground Space Technology, 2001, 16(3): 133-150 J]

[3] LiT-bin. Damage to mountain tunnels related to the Wenchuan earthquake and some suggestions for aseismic tunnel construction. Bulletin of Engineering Geology and the Environment, 2012, 71(2): 297-308 J]

[4] ZhangX-p, JiangY-j, SugimotoS. Seismic damage assessment of mountain tunnel: A case study on the Tawarayama tunnel due to the 2016 Kumamoto Earthquake. Tunnelling and Underground Space Technology, 2018, 71: 138-148 J]

[5] SunW-y, MaQ-g, YanS-h, et al. . Seismic response and damage characteristics of the shallow tunnel with asymmetric loess cover under the oblique incidence of seismic SV wave. Arabian Journal for Science and Engineering, 2022, 47(10): 12535-12553 J]

[6] QiuJ-l, WangX-l, LaiJ-x, et al. . Response characteristics and preventions for seismic subsidence of loess in Northwest China. Natural Hazards, 2018, 92(3): 1909-1935 J]

[7] WangL-m, WuZ-j, XiaK, et al. . Amplification of thickness and topography of loess deposit on seismic ground motion and its seismic design methods. Soil Dynamics and Earthquake Engineering, 2019, 126: 105090 J]

[8] ChengX-s, LiX-l, FanJ, et al. . Seismic stability of a tunnel considering the dynamic geologic parameters of loess. Geotechnical and Geological Engineering, 2018, 36(6): 3583-3600 J]

[9] SunW-y, YanS-h, MaQ-g, et al. . Dynamic response characteristics and failure mode of a bias loess tunnel using a shaking table model test. Transportation Geotechnics, 2021, 31100659 J]

[10] Applied Technology Council. ATC-13 Earthquake damage evaluation data for California [R]. Redwood City, USA, 1985.

[11] American Lifelines AllianceSeismic fragility formulation for water systems, part 1, 2001, Reston, VA, USA, American Society of Civil Engineers-Federal Emergency Management Agency[R]

[12] HuangZ-k, ZhangD-mei. Scalar- and vector-valued vulnerability analysis of shallow circular tunnel in soft soil. Transportation Geotechnics, 2021, 27100505 J]

[13] ZhongZ-l, ShenY-y, ZhaoM, et al. . Seismic performance evaluation of two-story and three-span subway station in different engineering sites. Journal of Earthquake Engineering, 2022, 26(14): 7505-7535 J]

[14] ZhangC-m, ZhaoM, ZhongZ-l, et al. . Seismic intensity measures and fragility analysis for subway stations subjected to near-fault ground motions with velocity pulses. Journal of Earthquake Engineering, 2022, 26(16): 8724-8750 J]

[15] ArgyroudisS A, PitilakisK D. Seismic fragility curves of shallow tunnels in alluvial deposits. Soil Dynamics and Earthquake Engineering, 2012, 351-12 J]

[16] NguyenD D, ParkD, ShamsherS, et al. . Seismic vulnerability assessment of rectangular cut-and-cover subway tunnels. Tunnelling and Underground Space Technology, 2019, 86: 247-261 J]

[17] ANSYS MechanicalUser’s manual version 16.0, 2015, Canonburg, Pennsylvania, ANSYS Inc.[M]

[18] PITILAKIS K, TSINIDIS G. Seismic design of large, long underground structures: Metro and parking stations, highway tunnels [C]// Proceedings of International Geotechnical Conference: Geotechnical Challenges in Megacities. Moscow, 2010: 7–10.

[19] HuangZ-k, PitilakisK, TsinidisG, et al. . Seismic vulnerability of circular tunnels in soft soil deposits: The case of Shanghai metropolitan system. Tunnelling and Underground Space Technology, 2020, 98: 103341 J]

[20] ShomeNProbabilistic seismic demand analysis of nonlinear structures, 1999, Palo Alto, Stanford University[R]

[21] Pacific Earthquake Engineering Research CenterPEER strong motion database on line [DB], 2005, Berkeley, University of California

[22] GB50011—2010. Code for seismic design of buildings [S]. (in Chinese)

[23] KostinakisK, AthanatopoulouA, MorfidisK. Correlation between ground motion intensity measures and seismic damage of 3D R/C buildings. Engineering Structures, 2015, 82151-167 J]

[24] GuoJ-j, AlamM S, WangJ-q, et al. . Optimal intensity measures for probabilistic seismic demand models of a cable-stayed bridge based on generalized linear regression models. Soil Dynamics and Earthquake Engineering, 2020, 131: 106024 J]

[25] TidkeA R, AdhikaryS. Optimal intensity measure selection and probabilistic seismic demand models for dam-reservoir-layered foundation system. Structures, 2022, 37318-337 J]

[26] AmorosiA, BoldiniD. Numerical modelling of the transverse dynamic behaviour of circular tunnels in clayey soils. Soil Dynamics and Earthquake Engineering, 2009, 29(6): 1059-1072 J]

[27] BardetJ P, IchiiK, LinC HEERA-computer program for equivalent-linear earthquake site response analyses of layered soil deposits, 2000, Los Angeles, University of Southern California[R]

[28] European Committee for Standardization, Eurocode 8. Design of structures for earthquake resistance [S].

[29] ArgyroudisS, TsinidisG, PitilasisK. Effects of SSI and lining corrosion on the seismic vulnerability of shallow circular tunnels. Soil Dynamics and Earthquake Engineering, 2017, 98: 244-256 J]

[30] ZiH, DingZ-d, JiX-f, et al. . Effect of voids on the seismic vulnerability of mountain tunnels. Soil Dynamics and Earthquake Engineering, 2021, 148: 106833 J]

[31] LiuT, ChenZ-y, YuanY, et al. . Fragility analysis of a subway station structure by incremental dynamic analysis. Advances in Structural Engineering, 2017, 20(7): 1111-1124 J]

[32] de SilvaF, FabozziS, NikitasN, et al. . Seismic vulnerability of circular tunnels in sand. Géotechnique, 2021, 71(11): 1056-1070 J]

[33] CornellC A, JalayerF, HamburgerR O, et al. . Probabilistic basis for 2000 SAC federal emergency management agency steel moment frame guidelines. Journal of Structural Engineering, 2002, 128(4): 526-533 J]

[34] QiuW-g, HuangG, ZhouH-c, et al. . Seismic vulnerability analysis of rock mountain tunnel. International Journal of Geomechanics, 2018, 18(3): 04018002 J]

[35] JamshidiA M, HoseiniA, VahdaniS, et al. . Seismic fragility curves for vulnerability assessment of steel fiber reinforced concrete segmental tunnel linings. Tunnelling and Underground Space Technology, 2018, 78259-274 J]

[36] ZhuangH-y, YangJ, ChenS, et al. . Statistical numerical method for determining seismic performance and fragility of shallow-buried underground structure. Tunnelling and Underground Space Technology, 2021, 116104090 J]

[37] GB18306—2015. Seismic ground motion parameters zonation map of China [S]. (in Chinese)

[38] XinC L, WangZ Z, GaoB. Shaking table tests on seismic response and damage mode of tunnel linings in diverse tunnel-void interaction states. Tunnelling and Underground Space Technology, 2018, 77295-304 J]

[39] ChenY-s, DingZ-d, ZiH, et al. . Seismic vulnerability analysis of shield tunnels considering cavitation. Rock and Soil Mechanics, 2021, 42(12): 3385-3396[J]