Seismic response of integrated underground-aboveground structure system and simplified analysis methods for drift ratio and vertical displacement

Abstract

The seismic response of underground structures within integrated underground-aboveground structure system (IUASS) is influenced by both kinematic effect from the surrounding soil and inertia effect from aboveground structures, leading to complex dynamic responses. This paper investigates the seismic response of underground structures in IUASS. Dynamic simulations are conducted using both elastic and elastoplastic constitutive models. The results show that the mean period of input motion and the fundamental period of the free field significantly influence the drift ratio of the underground structure, while the force at the base of the aboveground structure is also strongly correlated with the drift ratio of the underground structure. The vertical displacement of the underground structure is strongly affected by the weight of the IUASS and excess pore pressure generated in the soil. Simplified analysis methods for predicting drift ratio and vertical displacement are subsequently proposed taking these factors into consideration. The proposed methods exhibit excellent agreement with dynamic analysis results across a wide range of input motion and structure conditions, providing important tools for seismic design of IUASS.

Keywords

Integrated underground-aboveground structure system / Seismic response / Dynamic simulation / Period / Simplified analysis method

References

[1] Azadi, M., & Hosseini, S. M. M. (2010). The uplifting behavior of shallow tunnels within the liquefiable soils under cyclic loadings. Tunnelling and Underground Space Technology, 25(2), 158-167.

[2] Bao, X., Xia, Z., Ye, G., Fu, Y., & Su, D. (2017). Numerical analysis on the seismic behavior of a large metro subway tunnel in liquefiable ground. Tunnelling and Underground Space Technology, 66, 91-106.

[3] Been, K ., & Jefferies, M. G. (1985). A state parameter for sands. Géotechnique, 35(2), 99-112.

[4] Bélanger, P. (2007). Underground landscape: The urbanism and infrastructure of Toronto’s downtown pedestrian network. Tunnelling and Underground Space Technology, 22(3), 272-292.

[5] Bhalla, S., Yang, Y., Zhao, J., & Soh, C. (2005). Structural health monitoring of underground facilities-Technological issues and challenges. Tunnelling and Underground Space Technology, 20(5), 487-500.

[6] Chen, G., Chen, S., Qi, C., Du, X., Wang, Z., & Chen, W. (2015). Shaking table tests on a three-arch type subway station structure in a liquefiable soil. Bulletin of Earthquake Engineering, 13, 1675-1701.

[7] Chen, R. R., Taiebat, M., Wang, R., & Zhang, J. M. (2018). Effects of layered liquefiable deposits on the seismic response of an underground structure. Soil Dynamics and Earthquake Engineering, 113, 124-135.

[8] China Ministry of Natural Resources . (2020). Recommended directory of comprehensive development modes of aboveground-underground space of rail transits. Beijing (in Chinese).

[9] Cui, C., Xu, M., Xu, C., Zhang, P., & Zhao, J. (2023). An ontology-based probabilistic framework for comprehensive seismic risk evaluation of subway stations by combining Monte Carlo simulation. Tunnelling and Underground Space Technology, 135, 105055.

[10] Cui, C., Zhao, J., Xu, M., Xu, C., Liu, H., & Wang, K. (2025). Multidimensional seismic fragility analysis of subway station structures using the adaptive bandwidth kernel density estimation and Copula function. Underground Space, 22, 110-123.

[11] Fu, P. C., Johnson, S. M., & Carrigan, C. R. (2013). An explicitly coupled hydro-geomechanical model for simulating hydraulic fracturing in arbitrary discrete fracture networks. International Journal for Numerical and Analytical Methods in Geomechanics, 37(14), 2278-2300.

[12] Gillis, K., Dashti, S., Hashash, Y. M. A., Jones, C., Musgrove, M., & Walker, M. (2015). Seismic performance of shallow underground structures adjacent to tall buildings: a centrifuge experimental study. In: Proceedings of the 6th International Conference on Earthquake Geotechnical Engineering, Christchurch, New Zealand.

[13] Hashash, Y. M. A., Hook, J. J., Schmidt, B., John, I., & Yao, C. (2001). Seismic design and analysis of underground structures. Tunnelling and Underground Space Technology, 16(4), 247-293.

[14] Hashash, Y. M. A., Dashti, S., Musgrove, M., Gillis, K., Walker, M., Ellison, K., & Basarah, Y. I. (2018). Influence of tall buildings on seismic response of shallow underground structures. Journal of Geotechnical and Geoenvironmental Engineering, 144(12), 04018097.

[15] He, B., Zhang, J. M., Li, W., & Wang, R. (2020). Numerical analysis of LEAP centrifuge tests on sloping liquefiable ground: Influence of dilatancy and post-liquefaction shear deformation. Soil Dynamics and Earthquake Engineering, 137, 106288.

[16] He, W. (2011). Research on seismic response of underground structures and its interaction with ground building [Doctoral dissertation, Dalian University of Technology]. China Science Periodical Database (in Chinese).

[17] Hu-Yan, B., Wang, R., Yu, J. K., & Zhang, J. M. (2024). Predictions of seismic response for sheet-pile wall in liquefiable deposit within LEAP 2022 using the CycLiq constitutive model. Soil Dynamics and Earthquake Engineering, 178, 108474.

[18] Iida, H., Hiroto, T., Yoshida, N., & Iwafuji, M. (1996). Damage to Daikai subway station. Soils and Foundations, 36(Special), 283-300.

[19] International Organization for Standardization (2017). Bases for design of structures - Seismic actions on structures. ISO, 3010, 2017.

[20] Iwatate, T., Kobayashi, Y., Kusu, H., & Rin, K. (2000). Investigation and shaking table tests of subway structures of the Hyogoken-Nanbu earthquake. New Zealand: New Zealand Society for Earthquake Engineering.

[21] Kramer, S. L., & Mitchell, R. A. (2006). Ground motion intensity measures for liquefaction hazard evaluation. Earthquake Spectra, 22(2), 413-438.

[22] Li, W. T., Wang, R., & Zhang, J. M. (2023). Influence of aboveground structure on connected underground structure seismic response within an integrated system. Tunnelling and Underground Space Technology, 134, 105003.

[23] Li, Y., Wang, R., Ma, H., & Zhang, J. M. (2025). Rising groundwater table due to restoration projects amplifies earthquake induced liquefaction risk in Beijing. Nature Communications, 16, 1466.

[24] Li, Y. Y., Zhang, J. M., & Wang, R. (2024). An explicit material point and finite volume sequentially coupled method for simulating large deformation problems in saturated soil. Computers and Geotechnics, 170(6), 1-20.

[25] Liu, B., Zhang, D., Li, X., & Li, J. (2022a). Seismic response of underground structure-soil-aboveground structure coupling system: Current status and future prospects. Tunnelling and Underground Space Technology, 122, 104372.

[26] Liu, J., Zhu, T., Wang, R., & Zhang, J. M. (2022b). A simplified seismic analysis method for underground structures considering the effect of adjacent aboveground structures. In Conference on Performance-based Design in Earthquake Geotechnical Engineering (pp. 2313-2321). Cham: Springer International Publishing.

[27] Ma, C. X., Peng, F. L., Qiao, Y. K., & Li, H. (2022). Evaluation of spatial performance of metro-led urban underground public space: A case study in Shanghai. Tunnelling and Underground Space Technology, 124, 104484.

[28] Ministry of Housing and Urban-Rural Development of the People’s Republic of China . (2010). Code for seismic design of buildings (GB 50011-2010). China Architecture & Building Press: Beijing (in Chinese).

[29] Ministry of Housing and Urban-Rural Development of the People’s Republic of China . (2018). Standard for seismic design of underground structure (GB/T 51336-2018). China Architecture & Building Press: Beijing. (in Chinese).

[30] Pitilakis, K., & Tsinidis, G. (2013). Performance and seismic design of underground structures. In Earthquake geotechnical engineering design (pp. 279-340). Cham: Springer International Publishing.

[31] Pitilakis, K., Tsinidis, G., Leanza, A., & Maugeri, M. (2014). Seismic behaviour of circular tunnels accounting for aboveground structures interaction effects. Soil Dynamics and Earthquake Engineering, 67, 1-15.

[32] Qiu, D., Wang, P., Ren, W., Chen, J., & Zhao, C. (2023). Seismic responses and failure mechanism of the superstructure-integrated underground structure considering the seismic aboveground-underground interaction. Soil Dynamics and Earthquake Engineering, 175, 103259.

[33] Qiu, Y. J., Zhang, H. R., Yu, Z. Y., & Zhang, J. K. (2021). A modified simplified analysis method to evaluate seismic responses of subway stations considering the inertial interaction effect of adjacent buildings. Soil Dynamics and Earthquake Engineering, 150, 106896.

[34] Ramazi, H., & Jigheh, H. S. (2006). The Bam (Iran) Earthquake of December 26, 2003: From an engineering and seismological point of view. Journal of Asian Earth Sciences, 27(5), 576-584.

[35] Rashiddel, A., Abedi, M., Dias, D., & Ramesh, A. (2024). Seismic analysis of segmental shallow tunnels adjacent to building foundations under soil liquefaction and its mitigation. Soil Dynamics and Earthquake Engineering, 178, 108479.

[36] Rathje, E. M., Abrahamson, N. A., & Bray, J. D. (1998). Simplified frequency content estimates of earthquake ground motions. Journal of Geotechnical and Geoenvironmental Engineering, 124(2), 150-159.

[37] Scarfone, R., Morigi, M., & Conti, R. (2020). Assessment of dynamic soil-structure interaction effects for tall buildings: A 3D numerical approach. Soil Dynamics and Earthquake Engineering, 128, 105864.

[38] Stewart, J. P., Fenves, G. L., & Seed, R. B. (1999). Seismic soil-structure interaction in buildings. I: Analytical methods. Journal of Geotechnical and Geoenvironmental Engineering, 125(1), 26-37.

[39] Wang, G. B., Yuan, M. Z., Miao, Y., Wu, J., & Wang, Y. X. (2018). Experimental study on seismic response of underground tunnel-soil-surface structure interaction system. Tunnelling and Underground Space Technology, 76, 145-159.

[40] Wang, R., Liu, H., Kutter, B. L., & Zhang, J. M. (2023). Influence of centrifuge test soil-container friction on seismic sheet-pile wall response in liquefiable deposit: Insights from numerical simulations. Journal of Geotechnical and Geoenvironmental Engineering, 149, 04023068.

[41] Wang, R., Zhang, J. M., & Wang, G. (2014). A unified plasticity model for large post-liquefaction shear deformation of sand. Computers and Geotechnics, 59, 54-66.

[42] Wang, R., Zhu, T., Yu, J. K., & Zhang, J. M. (2022). Influence of vertical ground motion on the seismic response of underground structures and underground-aboveground structure systems in liquefiable ground. Tunnelling and Underground Space Technology, 122, 104351.

[43] Wang, R. X. (2020). Research on fluid-solid coupling analysis and visualization method for large-scale geotechnical engineering problems. [Doctoral dissertation, Tsinghua University]. Tsinghua University Library (in Chinese).

[44] Wu, Y., Zhao, M., Gao, Z., et al. (2025). Response spectrum method for seismic analysis of aboveground structure based on effective frequencies and modes of soil-structure interaction system. Soil Dynamics and Earthquake Engineering, 196, 109485.

[45] Xu, Z. G., Du, X. L., Xu, C. S., Jiang, J., & Han, R. (2019). Simplified equivalent static methods for seismic analysis of shallow buried rectangular underground structures. Soil Dynamics and Earthquake Engineering, 121, 1-11.

[46] Xu, M., Cui, C., Xu, C., Zhang, P., & Zhao, J. (2023a). Seismic risk analysis of subway station structures combining the epistemic uncertainties from both seismic hazard and numerical simulation. Journal of Earthquake Engineering, 28(5), 1474-1494.

[47] Xu, Z. G., Ding, L. L., Du, X. L., Xu, C. S., & Zhuang, H. Y. (2023b). Generalized response displacement methods for seismic analysis of underground structures with complex cross section. Earthquake Engineering and Engineering Vibration, 22(4), 979-993.

[48] Xu, M., Cui, C., Zhao, J., Xu, C., Zhang, P., & Su, J. (2024). Fuzzy seismic fragility analysis of underground structures considering multiple failure criteria. Tunnelling and Underground Space Technology, 145, 105614.

[49] Xu, M., Cui, C., Liu, H., Li, J., Zhao, J., & Xu, C. (2025a). Non-parametric probabilistic seismic capacity model for the stochastic interaction system of soil-subway station structures. Underground Space, 24, 79-103.

[50] Xu, M., Cui, C., Zhao, J., Xu, C., & Meng, K. (2025b). A novel approach to seismic fragility evaluation of underground structures considering hybrid epistemic uncertainties of both seismic demand and capacity. Tunnelling and Underground Space Technology, 156, 106278.

[51] Yu, J. K., Wang, R. X., Zhang, J. M., & Wang, R. (2025). High-performance seismic response analysis for mega-scale integrated underground-aboveground structure system in saturated sand. Fundamental Research. In press.

[52] Zhang, J. M., & Wang, R. (2024). Large post-liquefaction deformation of sand: Mechanisms and modeling considering water absorption in shearing and seismic wave conditions. Underground Space, 18, 3-64.

[53] Zhao, M., Ding, Q. P., Cao, S. T., Li, Z. S., & Du, X. L. (2024). Large-scale seismic soil-structure interaction analysis via efficient finite element modeling and multi-GPU parallel explicit algorithm. Computer Aided Civil and Infrastructure Engineering, 39(12), 1886-1908.

[54] Zhu, T., Hu, J., Zhang, Z., Zhang, J. M., & Wang, R. (2021a). Centrifuge shaking table tests on precast underground structure-aboveground structure system in liquefiable ground. Journal of Geotechnical and Geoenvironmental Engineering, 147(8), 04021055.

[55] Zhu, T., Wang, R., & Zhang, J. M. (2021b). Evaluation of various seismic response analysis methods for underground structures in saturated sand. Tunnelling and Underground Space Technology, 110, 103803.

[56] Zhu, T., Wang, R., & Zhang, J. M. (2021c). Effect of nearby ground structures on the seismic response of underground structures in saturated sand. Soil Dynamics and Earthquake Engineering, 146, 106756.