基于GP15.4运动学混合震源的2016年意大利诺尔恰MW6.5地震宽频带地震动谱元法模拟

Spectral element simulation of broadband ground motions for the 2016 Norcia,Italy MW6.5 earthquake using GP15.4 kinematic hybrid source model

  • 摘要: 本研究充分结合 GP15.4 运动学混合震源模型的宽频模拟优势与谱元法(数值精度高、计算收敛快)的技术特性,提出并实现了 “GP15.4 震源模型-含地表起伏地形区域场地模型-谱元法” 耦合的宽频带地震动模拟方案。其中:GP15.4 模型通过在低频确定性震源模型基础上叠加高频随机成分构建;宽频带数值模拟依托 SPECFEM 3D 谱元程序完成。具体流程为:首先采用二维傅里叶变换将确定性滑动量分布转换至波数域,引入随机成分使得滑动波数谱满足von Karman自相关函数波数谱特征,再经二维傅里叶逆变换得到半随机滑动量震源模型;随后基于滑动量分布计算各子断层的破裂时间与上升时间,同时考虑不同深度下破裂速度的变化规律,并引入随机扰动以精准再现高频地震动辐射特征。将该模拟方案应用于 2016 年意大利诺尔恰 MW6.5 地震的宽频带地震动模拟,结果显示,模拟地震动与实际观测数据的吻合度良好,表明本文方法可靠。

     

    Abstract:
    Broadband ground motion simulation is a vital research area in earthquake engineering, providing a critical basis for seismic hazard assessment and engineering design. Despite significant advancements in simulation techniques, existing deterministic physical models still face major limitations, particularly in accurately reproducing high-frequency ground motion characteristics. These shortcomings stem primarily from constraints in source model refinement and the substantial computational resources required for broadband, high-accuracy simulations. However, accurately capturing these high-frequency components is crucial for the seismic design of structures and for ensuring infrastructure safety during earthquakes.
    To address these challenges, this study integrates the GP15.4 kinematic hybrid source model with a regional site model that incorporates surface topography within the spectral element method (SEM) framework. This integrated approach combines the broadband strengths of the GP15.4 model with the high accuracy and computational efficiency of SEM. The GP15.4 model achieves its broadband capability by superimposing high-frequency stochastic elements onto a low-frequency deterministic slip model. Specifically, the deterministic slip distribution is converted into the wavenumber domain via a two-dimensional Fourier transform. High-frequency stochastic components, conforming to a von Karman autocorrelation function spectrum, are then generated and superimposed. An inverse Fourier transform reconstructs a spatially heterogeneous slip distribution. Rupture time and rise time for each subfault are derived from this slip distribution, with consideration given to depth-dependent rupture velocity variations and the introduction of random perturbations to better simulate high-frequency radiation. The final rupture model is implemented in the SPECFEM3D spectral element code, enabling a complete simulation from fault rupture to seismic wave propagation.
    To validate the proposed methodology, we first conducted a simulation for a region in western China using a flat-surface model. The results, compared against NGA-West2 ground motion prediction equations (GMPEs), predominantly fell within their expected variability ranges. Subsequently, the model was applied to simulate the 2016 MW6.5 Norcia, Italy earthquake. Comparisons of acceleration time histories and response spectra at ten observational stations demonstrated the method’s effectiveness and accuracy. These validations confirm that the GP15.4 model within the SEM framework significantly enhances the realistic simulation of ground motion characteristics that are challenging for traditional deterministic methods. Furthermore, wavefield snapshots provide visualization of seismic wave propagation from the fault to the surface, elucidating key features such as the concentration and rapid attenuation of near-fault motions and the effects of surface topography.
    This study establishes a framework applicable to other seismically active regions worldwide. By combining an advanced hybrid source model with SEM, this approach ensures a comprehensive understanding of seismic wave propagation, making it a valuable tool for both theoretical research and practical engineering applications. With ongoing advancements in computational power, this method holds promise for delivering even more accurate simulations across broader frequency ranges and under more complex site conditions, thereby offering substantial support for future seismic risk assessment and resilient infrastructure design.

     

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