基于MFT时频分析的长周期地震动记录快速识别方法及其在2025年西藏定日MS6.8地震中的应用

Rapid identification method for long-period ground motion records based on MFT time-frequency analysis and its application to the 2025 Dingri,Xizang,MS6.8 earthquake

  • 摘要: 提出一种基于多重滤波技术(MFT)时频分析的长周期地震动记录识别方法,旨在实现长周期地震动成分的自动化精准识别。该方法通过构建对数均匀分布的中心频率进行窄带分解,生成高分辨率的时频振幅矩阵,并以1.0 Hz为分界频率动态计算瞬时频率能量占比。通过引入能量占比大于0.5的主导判据,并结合噪声阈值、振幅显著性及最小持续时间等约束,实现了对复杂信号中低频演变趋势的鲁棒提取。之后以2025年1月7日西藏定日MS6.8地震的强震记录为例进行应用分析,发现地震波在传播中发生了剧烈的非弹性衰减与波型转换,多数台站在S波段呈显著的低频主导特征。不同震中距台站的时频分析结果显示,长周期成分随传播距离展现出从发育到全过程主导的演化规律,特别是在远场台站,尽管面波震相抵达较晚,但本文方法基于能量占比的先导性识别揭示了S波段前频率特性已发生显著偏移。进一步结合归一化内积(NIP)极化分析方法对面波到时进行约束,结果表明本文方法识别的低频主导区间可以有效地刻画低频能量演变趋势,并为面波到时提供可靠参考,但其并不必然等同于面波首次到达的物理时刻;在长周期主导性识别的基础上引入NIP极化分析,可同时满足工程应用识别与物理震相验证的双重需求。本文方法可作为强震数据库长周期记录快速筛选与时域标注的有效工具,为长周期结构抗震分析与输入记录选取提供技术支撑。

     

    Abstract: Long-period ground motions typically manifest as highly non-stationary features within seismic acceleration records, where low-frequency components frequently separate temporally from high-frequency strong-motion segments and exhibit significant delay, posing a critical threat to flexible structures with long natural periods such as high-rise buildings and long-span bridges. Traditional identification methods, which rely on manual visual inspection of time histories or the evaluation of response spectra, are inherently limited; manual inspection is subjective and struggles to automatically capture the specific evolutionary process of the long-period dominant interval, while response spectra condense the entire record into single maximum responses, causing the impact of late-arriving surface waves to be masked by earlier high-frequency body waves. Existing time-frequency tools present notable challenges: the short-time Fourier transform (STFT) cannot simultaneously balance high- and low-frequency resolutions, the continuous wavelet transform (CWT) suffers from boundary effects that distort low-frequency energy calculations, and the Hilbert-Huang transform (HHT) is prone to mode mixing when processing strong-motion records contaminated by complex environmental noise. This paper proposes a time-frequency analysis framework based on the multiple filter technique (MFT), aimed at achieving automated and precise identification of long-period ground motion components. The MFT method decomposes the signals into a series of narrow-band components utilizing logarithmically spaced central frequencies, generating a high-resolution time-frequency amplitude matrix. For each frequency, a Gaussian-type frequency domain filter is applied. After utilizing a Hilbert transform to extract instantaneous amplitudes, the framework establishes a 1.0 Hz physical boundary frequency to separate low-frequency energy from high-frequency energy. The instantaneous energy ratio is dynamically calculated to represent the proportion of low-frequency energy relative to total energy. When this ratio strictly exceeds 0.5, a long-period dominant state is triggered, indicating that low-frequency energy has physically surpassed high-frequency energy. To ensure engineering relevance and rigorously exclude ambient seismic noise, the methodology enforces a localized noise threshold. Furthermore, only segments continuously maintaining dominance for at least ten seconds are classified as long-period dominant zones, ensuring the identified signals possess the requisite time scale to accumulate substantial ground velocity and displacement. Recognizing that the energy ratio inherently lacks particle motion constraints, the framework incorporates the normalized inner product (NIP) method as an auxiliary tool for the physical verification of actual surface waves. The NIP quantifies phase consistency between the radial and phase-shifted vertical displacement components utilizing S-transform instantaneous phases with a rigorous threshold of 0.8. The robustness of this dual-analysis framework was extensively validated using three-component strong-motion acceleration records collected from the January 7, 2025, MS6.8 Dingri, Xizang, earthquake. The automated analysis revealed that seismic waves underwent intense anelastic attenuation and wave-mode conversion during propagation. Notably, densely distributed stations in specific target regions demonstrated a strong full-range long-period characteristics across shear-wave signals. This phenomenon is mainly caused by near-surface low-velocity media and complex basin structures. The analysis also captured specific near-fault anomalies at the bedrock station XZ.RKZ, located at an epicentral distance of 163 kilometers, where long-period characteristics were linked to critical reflections triggered by the Moho discontinuity. This was mathematically verified using Snell’s law based on regional crustal and mantle velocities. The study further tracked the spatial evolution of the seismic wavefield by systematically comparing stations along the propagation path; at the closer stations, long-period motions were observed to be in an early stage, displaying mixed high-low frequency characteristics and dual-peak response spectra. Conversely, at the far-field station, the shear-wave signal evolved to be entirely dominated by low frequencies, featuring a wave group composed purely of low-frequency components. A stable Rayleigh wave elliptical motion was verified by NIP polarization analysis, which indicates that the low-frequency dominant intervals identified by the proposed method can effectively depict the evolution of low-frequency energy and provide a reliable reference for surface wave arrival. However, these intervals do not necessarily equate to the physical arrival time of the first surface wave. The proposed NIP polarization analysis method based on the long-period dominance identification satisfies the dual requirements of engineering application and physical phase verification. The method proposed in this paper can serve as an effective tool for the rapid screening and time-domain annotation of long-period records in strong-motion databases, providing technical support for the seismic analysis and input selection of long-period structures.

     

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