Efforts at modelling the propagation of seismic waves in half-spaces with continuously varying properties have been mostly focused on shear-horizontal waves. Here a sagittaly polarized (Rayleigh type) wave travels along a symmetry axis (and is attenuated along another) of an orthotropic material with stiffnesses and mass density varying in the same exponential manner with depth. Contrary to what could be expected at first sight, the analysis is very similar to that of the homogeneous half-space, with the main and capital difference that the Rayleigh wave is now dispersive. The results are illustrated numerically for (i) an orthotropic half-space typical of horizontally layered and vertically fractured shales and (ii) for an isotropic half-space made of silica. In both examples, the wave travels at a slower speed and penetrates deeper than in the homogeneous case; in the second example, the inhomogeneity can force the wave amplitude to oscillate as well as decay with depth, in marked contrast with the homogeneous isotropic general case.
Experimental evidence of auxetic features in seismic metamaterials: Ellipticity of seismic Rayleigh waves for subsurface architectured ground with holes
Joint analysis of Rayleigh-wave dispersion curves and diffuse-field HVSR for site characterization: The case of El Ejido town (SE Spain)
El Ejido镇位于西班牙地震活跃区的一个深沉积盆地之上，这促使人们对其地震反应特征进行研究。为此，在扩散场假设（DFA）下，通过瑞利波波频散曲线的联合反演和环境噪声（HVSR）水平-垂直谱比的全波场模拟，得到了横波速度模型。结合空间自相关调查（SPAC）与阵列孔径的几百米和HVSR显示低频峰值允许表征深层地面功能下至三叠纪基岩。占主导地位的时期，在镇范围从0.8到2.3秒，增长向东南部，在较高的频率很少有次峰。通过岩土工程勘察、多道表面波分析（MASW）和小孔径阵列SPAC分析，对浅层结构进行了探测。由此产生的模型支持一般分类的地面作为硬土。
A Framework for Uncertainty Estimation in Seismology Data Processing with Application to Extract Rayleigh Wave Dispersion Curves from Noise Cross-correlation Functions
A Frequency-Domain Beamforming Procedure for Extracting Rayleigh Wave Attenuation Coefficients and Small-Strain Damping Ratio from 2D Ambient Noise Array Measurements
