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薛耀辉, 董志骞, 李钢, 余丁浩, 王睿, 张昊. 基于频散特性的层状介质面波自由场反演[J]. 岩土工程学报. DOI: 10.11779/CJGE20231220
引用本文: 薛耀辉, 董志骞, 李钢, 余丁浩, 王睿, 张昊. 基于频散特性的层状介质面波自由场反演[J]. 岩土工程学报. DOI: 10.11779/CJGE20231220
Surface-wave free-field inversion based on dispersion property in layered media[J]. Chinese Journal of Geotechnical Engineering. DOI: 10.11779/CJGE20231220
Citation: Surface-wave free-field inversion based on dispersion property in layered media[J]. Chinese Journal of Geotechnical Engineering. DOI: 10.11779/CJGE20231220

基于频散特性的层状介质面波自由场反演

Surface-wave free-field inversion based on dispersion property in layered media

  • 摘要: 面波自由场反演是实现土-结相互作用(SSI)体系地震动输入以及揭示结构真实地震响应行为的重要步骤之一。现有反演方法将地表地震动全部作为体波考虑,仅对体波自由场进行反演。为了弥补忽略面波带来的反演精度不足,提出了一种层状介质场地基于频散特性的面波自由场反演方法,为SSI体系地震响应分析提供准确的面波激励。该方法针对频散面波多模态相互耦合、难以分离的问题,采用平均能流密度来表征各频散模态的参与量,并结合频域动力刚度矩阵计算了模态参与系数;然后采用模态参与系数对各频散模态进行解耦,将地表面波分量分配给各单阶频散模态进行单模态面波自由场反演;最后利用模态叠加原理将所有单模态面波自由场合成多模态面波自由场。方法的准确性和应用性分析结果表明,所提反演方法能够准确地还原地下真实的面波自由场以及揭示频散面波对SSI体系地震响应的重要影响,可用于为SSI体系抗震设计、风险评估等工作提供定量的指导。

     

    Abstract: Surface-wave free-field inversion is one of the important steps in realizing the seismic inputs to the soil-structure interaction (SSI) systems and further revealing the real seismic response behaviors. Currently available inversion methods regard all ground motions as the body-wave components alone and invert only the body-wave free fields. To make up for the lack of neglecting surface waves in inversion implementations, a surface-wave free-field inversion method based on the dispersion property is proposed in this study to provide more accurate surface-wave excitation for the seismic analysis of SSI systems resting on layered media. With the problem that multiple modes of the dispersive surface waves are coupled to each other and difficult to separate, the proposed method employs the average energy flow density to characterize the participation volume of dispersive modes and then calculates the mode participation factors using the frequency-domain dynamic stiffness matrix. The calculated mode participation factors are used to decouple the dispersive modes and assign the ground surface waves to each single mode, allowing for the inversion of single-mode surface-wave free fields. Finally, all single-mode surface-wave free fields are superimposed to form the multi-mode wavefields through the mode superposition theory. The findings from the analysis of accuracy and applicability of the proposed inversion method demonstrate its capability to effectively recover the actual underground surface-wave free fields, and shed light on the notable impact of dispersive surface waves on the seismic responses of SSI systems, thus providing quantitative guidance for the seismic design and risk assessment of SSI systems.

     

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