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Simulation for non-uniform seismic motion based on frequency-wavenumber spectrum and its application in seismic analysis of long tunnels

Juncheng Wang, Yongxin Wu, Jiazhi Yang, Bin Ruan, Yue Hou Orcid Logo

Tunnelling and Underground Space Technology, Volume: 161, Start page: 106537

Swansea University Author: Yue Hou Orcid Logo

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Abstract

The simulation of non-uniform seismic motions is critical for the seismic design of important underground structures such as long tunnels. However, the classic Spectral Representation Method (SRM) for simulating non-uniform seismic motions requires matrix decomposition, which consumes substantial me...

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Published in: Tunnelling and Underground Space Technology
ISSN: 0886-7798
Published: Elsevier BV 2025
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URI: https://cronfa.swan.ac.uk/Record/cronfa70723
Abstract: The simulation of non-uniform seismic motions is critical for the seismic design of important underground structures such as long tunnels. However, the classic Spectral Representation Method (SRM) for simulating non-uniform seismic motions requires matrix decomposition, which consumes substantial memory and has low computational efficiency. This study proposes a non-uniform seismic motion simulation method based on the Frequency-Wavenumber Spectrum (FWS). The method considers the impact of different coherence function models and incorporates an acceptance-rejection scheme to optimize the computational efficiency of energy distribution. The accuracy of the method is validated by comparing the simulated values (mean, standard deviation, auto-power spectral density, and coherence) of different coherence function models with their target values. Finally, the seismic response analysis of a long tunnel subjected to seismic motions with different coherence function models and varying PGAs is conducted. The results indicate that seismic motions with different coherence function models significantly influence the maximum intersegment opening width and internal force response of the long tunnel. Seismic motions under a strong coherence model lead to greater displacement responses, whereas those under a weak coherence model induce more pronounced internal force responses. Under the influence of seismic motion coherence, the long tunnel responses exhibit notable differences under varying PGAs’ seismic motions. In particular, at higher PGAs, the response characteristics of the tunnel may change, potentially increasing the risk of structural failure. These findings provide valuable insights for the seismic design of long tunnels.
Keywords: Frequency-wavenumber spectrum; Non-uniform seismic motion; Coherence function; Long tunnel; Dynamic response
College: Faculty of Science and Engineering
Funders: The authors would like to acknowledge the support of the National Natural Science Foundation of China under Grant No. 42377140 and the Post-graduate Research & Practice Innovation Program of Jiangsu Province under Grant No. KYCX24_0850.
Start Page: 106537