Numerical study on the influence of near-fault and far-fault earthquakes on a subway station with emphasis to scattering on the wave propagation

Document Type : Research


1 Assistant Professor, Department of Civil Engineering, Faculty of Engineering, University of Kurdistan, Sanandaj, Kurdistan, Iran.

2 Graduate Student, Dept. of Geotechnical Engineering, Faculty of Civil Engineering, Univ. of Tabriz, Tabriz, Iran.

3 Ph.D. Student, Department of Civil, Geological and Mining Engineering, Polytechnique Montréal, Montréal, Quebec, Canada.

4 Professor, Department of Civil Engineering, University of Tabriz, 29 Bahman Blvd. 51666-16471, Tabriz, Iran.


To improve the design of surface structures built on underground structures to be safe and resistant to earthquake, it is necessary to study the effects of the underground structures on the scattering in wave propagation and the surface ground acceleration. To this end, various parameters must be studied, including input motion, embedment of the structure, and different subway station dimensions. The present study focuses on these parameters by employing a nonlinear cyclic model called ARCS to simulate the shear modulus reduction and damping ratio increase of soil corresponding to the ones given by the user. The variations of the spectral ratio and the affected period range, peak ground acceleration, and peak relative lateral displacement versus the relative distance under near-fault and far-fault earthquakes are presented. The results indicate that different amplification or de-amplification effects at different surface positions were produced at each frequency by appearing a significant influence on the dynamic behavior of ground surface, soil layers, and the surface structure when a subway station is present. A 1.3 times increase in the surface ground acceleration subjected to far-fault earthquakes and a 1.6 times increase in the relative displacement indicated that study parameters have significant influences on the amplification ratio and scattering of the wave. 


Main Subjects

[1] Iida H, Hiroto T, Yoshida N, Iwafuji M. (1996) Damage to Daikai subway station. Soils Found 36:283-300.
[2] Power M, Rosidi D, Kaneshiro J, Gilstrap S, Chiou S. (1998) Summary and evaluation of procedures for the seismic design of tunnels. Final Report Task.
[3] Chen G, Wang Z, Zuo X, Du X, Gao H. (2013) Shaking table test on the seismic failure characteristics of a subway station structure on liquefiable ground. Earthq Eng Struct Dyn 42:1489-507.
[4] Sun Q, Dias D, Guo X, Li P. (2019) Numerical study on the effect of a subway station on the surface ground motion. Computers and Geotechnics;111: 243-254.
[5] Ma C, Lu D, Du X, Qi C, Zhang X. (2019) Structural components functionalities and failure mechanism of rectangular underground structures during earthquakes. Soil Dyn Earthq Eng 119: 265-280.
[6] Isari M, Damadipour M, Taghavi Ghalesari A, Razavi SK& Tarinejad R (2021). Modal Identification of a Soil-subway System with Emphasis on Scattering of Seismic Waves Induced by Uniform and Non-Uniform Support Excitations, Journal of Earthquake Engineering
[7] Jing-Ming W, Litehiser JJ. (1985) The distribution of earthquake damage to underground facilities during the 1976 Tang-Shan earthquake. Earthq Spectra 1:741-57.
[8] Sharma S, Judd WR. (1991) Underground opening damage from earthquakes. Eng Geol 30:263-76.
[9] Xu Z, Du X, Xu C, Hao H, Bi K.(2019). Numerical research on seismic response characteristics of shallow buried rectangular underground structure. Soil Dyn Earthq Eng;116: 242-252.
[10] Xu Z, Du X, Xu C, Jiang J, Han R. (2019). Simplified equivalent static methods for seismic analysis of shallow buried rectangular underground structures. Soil Dyn Earthq Eng;121: 1-11.
[11] Panji M., Kamalian M., Marnani J.A., and Jafari, M.K. (2013). Transient analysis of wave propagation problems by half-plane BEM. Geophysical Journal International, 194, 1849-1865.
[12] Panji M., Kamalian M., Asgari Marnani J., and Jafari, M.K. (2014). Antiplane seismic response from semi-sine shaped valley above embedded truncated circular cavity: a time-domain half-plane BEM. International Journal of Civil Engineering, Transaction B: Geotechnical Engineering, 12, 193-206.
[13] Alielahi H., Kamalian M., Asgari Marnani J., Jafari M.K., and Panji, M. (2013). Applying a time-domain boundary element method for study of seismic ground response in the vicinity of embedded cylindrical cavity. Int. J. Civil Eng., 11, 45-54.
[14] Alielahi H., Kamalian M., and Adampira M. (2015). Seismic ground amplification by unlined tunnels subjected to vertically propagating SV and P waves using BEM. Soil Dynamics and Earthquake Engineering, 71, 63-79.
[15] Alielahi H. and Adampira M. (2016). Seismic effects of two-dimensional subsurface cavity on the ground motion by BEM: amplification patterns and engineering applications. International Journal of Civil Engineering, 14, 233-251.
[16] Zhuang H, Yang J, Chen S, Dong, Z, Chen G. (2021) Statistical numerical method for determining seismic performance and fragility of shallow-buried underground structure, Tunneling and Underground Space Technology, Volume 1161014090, ISSN 0886-7798.
[17] Zhu T, Wang R, Zhang J-M. (2021) Effect of nearby ground structures on the seismic response of underground structures in saturated sand, Soil Dynamics and Earthquake Engineering, Volume 146, 2021, 106756, ISSN 0267-7261,
[18] Ma C, Lu D, Gao H, Du X, Qi C (2021) Seismic performance improvement of underground frame structures by changing connection type between sidewalls and slab, Soil Dynamics and Earthquake Engineering, Volume 149, 106851 ISSN0267-7261,
[19] Gao Z, Zhao M, Du X, M. El Naggar H, Wang J, (2021) Seismic analysis of underground structures employing extended response spectrum method, Tunnelling and Underground Space Technology, Volume 116,2021,104089, ISSN 0886 7798.
[20] Ding, X, Zhang, Y, Wu, Q, Chen, Z, Wang, C, (2021) Shaking table tests on the seismic responses of underground structures in coral sand, Tunnelling and Underground Space Technology, Volume 109,2021,103775, ISSN 0886-7798,
[21] Zhou, H, Cong, P, Wang, X, Wang, Y, Dai, H, Yu, S, Du, J. (2021) Global response of underground structures subjected to ground shock with consideration of rise time, Soil Dynamics and Earthquake Engineering, Volume 143, 106624 ISSN 0267-7261.
[22] Zhu, T, Wang, R, Zhang, J-M. (2021) Evaluation of various seismic response analysis methods for underground structures in saturated sand, Tunnelling and Underground Space Technology, Volume 110,103803, ISSN 0886-7798.
[23] Wichtmann, T., & Triantafyllidis, T. (2009). Influence of the grain-size distribution curve of quartz sand on the small strain shear modulus G max. Journal of geotechnical and geoenvironmental engineering, 135(10), 1404-1418.
[24] Payan, M., Khoshghalb, A., Senetakis, K., & Khalili, N. (2016). Effect of particle shape and validity of Gmax models for sand: A critical review and a new expression. Computers and Geotechnics, 72, 28-41.
[25] Payan, M., Senetakis, K., Khoshghalb, A., & Khalili, N. (2017). Characterization of the small-strain dynamic behavior of silty sands; contribution of silica non-plastic fines content. Soil Dynamics and Earthquake Engineering, 102, 232-240.
[26] Menq, F. Y. (2003). Dynamic properties of sandy and gravelly soils. The University of Texas at Austin.
[27] Wichtmann, T., & Triantafyllidis, T. (2013). Effect of uniformity coefficient on G/G max and damping ratio of uniform to well-graded quartz sands. Journal of geotechnical and geoenvironmental engineering, 139(1), 59-72.
[28] Wichtmann, T., Hernández, M. N., & Triantafyllidis, T. (2015). On the influence of a non-cohesive fines content on small strain stiffness, modulus degradation and damping of quartz sand. Soil Dynamics and Earthquake Engineering, 69, 103-114.
[29] Yniesta, S., Brandenberg, S.J., and Shafiee A. (2017) "ARCS: One-dimensional Non-linear Model for Ground Response Analysis" Soil Dynamics and Earthquake Engineering, 102, 75-85.
[30] Itasca. 2011. Fast Lagrangian analysis of continua in 3 dimensions, user's guide. FLAC3D V5.0. Minneapolis: Itasca Consulting Group
[31] Razavi, S.K., Hajialilue-Bonab, M. and Pak, A., 2021. Design of a Plastic Concrete Cutoff Wall as a Remediation Plan for an Earth-Fill Dam Subjected to an Internal Erosion. International Journal of Geomechanics, 21(5), p.04021061.