Wave-tracking-free calculation method for time-domain seismic response of overburden sites
LI Yanpeng1*, HU Zhiqiang2, LI Zhiyuan3, LIN Gao2
(1. School of Hydraulic Engineering, Changchun Institute of Technology, Changchun, Jilin 130012, China; 2. School of Infrastructure Engineering, Dalian University of Technology, Dalian, Liaoning 116024, China; 3. China Institute of Water Resources and Hydropower Research, Beijing 100048, China)
Abstract：The time-domain seismic response analysis of sites is fundamental for investigating the true nonlinear seismic behavior of overburden sites. Typically, the time-domain seismic response is derived from the Fourier inverse transformation of frequency-domain solutions. This process involves wave response superposition, which inherently limits frequency-domain methods from accurately capturing the true nonlinear seismic response of the soil. In this study, we propose a recursive method for analyzing the time-domain seismic response of overburden sites without the need for wave tracing, based on the theoretical solution of the wave equation and wave propagation characteristics. This method employs the reflected and transmitted waves incident at each soil interface to construct both up-going and down-going waves at these interfaces, treating each soil interface as a wave source. The up-going and down-going waves at each soil interface for the current moment are generated by the reflected and transmitted waves from incident waves that originated from neighboring soil interfaces at the previous moment. Ultimately, these up-going and down-going waves at the soil interfaces are utilized to determine the free-field time-domain seismic response at any point within the field. The proposed method avoids tracking the reflected and transmitted waves at each soil interface, significantly reducing computational effort and simplifying the wave propagation process. Numerical examples validate the applicability and accuracy of this method, while also exploring the impact of overburden thickness and soft interlayers on seismic wave propagation in overburden sites. The results indicate that the overburden layer significantly amplifies acceleration within a specific depth range from the surface, while exhibiting minimal amplification below this depth. Furthermore, the soft soil interlayer within the overburden demonstrates a notable energy absorption effect on seismic wave energy. This proposed method establishes a foundation for the true nonlinear seismic response analysis of overburden sites.
李艳朋1*，胡志强2，李志远3，林 皋2. 免地震波动追踪的覆盖层场地时域地震响应计算方法研究[J]. 岩石力学与工程学报, 2026, 45(S1): 113-119.
LI Yanpeng1*, HU Zhiqiang2, LI Zhiyuan3, LIN Gao2. Wave-tracking-free calculation method for time-domain seismic response of overburden sites. , 2026, 45(S1): 113-119.
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2026, Vol. 45 
