To improve the calculation accuracy of the horizontal-to-vertical spectral ratio (HVSR) method, this study theoretically analyzed the influencing factors of Rayleigh wave polarizability. The phase difference of the horizontal component and the phase difference of the vertical component are found to play a key role in calculating the polarizability. The influence mechanism of the superposition of body waves and different Rayleigh waves on the polarizability of the Rayleigh wave is derived. The effects of the body wave, amplitude, frequency and Rayleigh wave superposition of different sources on the polarizability are verified by numerical simulation. The results show that the body wave significantly interferes with the polarizability of the Rayleigh wave. When a signal contains more than one set of Rayleigh waves, the superposition of the same-source Rayleigh waves does not affect the ratio. However, the superposition of Rayleigh waves from different sources significantly interferes with the calculation of the polarizability. This provides a technical method and a theoretical basis for accurately extracting the Rayleigh wave polarizability dispersion curve from a seismic record signal. This would help improve the detection accuracy of the HVSR method for ground pulse signals.

中文翻译：

---

横纵谱比法影响因素分析及数值模拟

为提高水平垂直光谱比（HVSR）方法的计算精度，本研究从理论上分析了瑞利波极化率的影响因素。发现水平分量的相位差和垂直分量的相位差在计算极化率中起关键作用。推导了体波与不同瑞利波的叠加对瑞利波极化率的影响机理。通过数值模拟验证了不同源的体波、幅度、频率和瑞利波叠加对极化率的影响。结果表明，体波显着干扰了瑞利波的极化率。当一个信号包含一组以上的瑞利波时，同源瑞利波的叠加不影响比值。然而，来自不同来源的瑞利波的叠加显着干扰了极化率的计算。这为从地震记录信号中准确提取瑞利波极化率频散曲线提供了技术方法和理论依据。这将有助于提高 HVSR 方法对地脉冲信号的检测精度。