This paper proposes a hybrid method to analyze seismic responses from the source to complex terrain. The hybrid method is based on the domain reduction idea, dividing the overall model into global domain (including the source and propagation path) and local domain (including complex terrain). For the propagation of seismic wave fields in the global domain, a frequency-wavenumber method based on the exact dynamic stiffness matrix is adopted. For the local domain, the finite element method combined with the artificial boundary substructure method is used to analyze the seismic response of complex terrain. The advantage of this hybrid method is that the frequency-wavenumber method can accurately and efficiently calculate the three-component ground motion of the global large-scale model, while the finite element method has a variety of elements and constitutive models, which can finely simulate the local complex terrain. We take the Zigong Xishan Park site as the research object, and verify the correctness of the hybrid method. Based on this, we use the hybrid method to simulate the seismic response of the site, focusing on the propagation process of seismic waves on the mountain surface, the spatial distribution of peak ground displacement, and the effects of crustal velocity structure and source parameters on the seismic response of the mountain. The results show that the propagation of seismic waves and the distribution of peak ground displacement are closely related to changes in terrain, and the crustal velocity structure and source parameters have significant effects on the seismic response of the mountain.

中文翻译：

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错位山区地震反应分析的FK-FEM混合方法

本文提出了一种混合方法来分析从震源到复杂地形的地震响应。混合方法基于域约简思想，将整体模型分为全局域（包括源和传播路径）和局部域（包括复杂地形）。对于地震波场在全局域中的传播，采用基于精确动刚度矩阵的频率波数方法。针对局部域，采用有限元法结合人工边界子结构法来分析复杂地形的地震响应。这种混合方法的优点是频率-波数法可以准确高效地计算全球大尺度模型的三分量地震动，而有限元法有多种单元和本构模型，可以精细模拟当地地形复杂。我们以自贡西山公园遗址为研究对象，验证了混合方法的正确性。在此基础上，采用混合方法模拟场地地震响应，重点研究地震波在山体表面的传播过程、峰值地面位移的空间分布以及地壳速度结构和震源参数对场地地震响应的影响。山的地震反应。结果表明，地震波的传播和峰值地面位移分布与地形变化密切相关，地壳速度结构和震源参数对山体地震响应有显着影响。