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首页> 外文期刊>Pure and Applied Geophysics >Analysis of Surface Waves in Saturated Layered Poroelastic Half-Spaces Using the Thin Layer Method
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Analysis of Surface Waves in Saturated Layered Poroelastic Half-Spaces Using the Thin Layer Method

机译：使用薄层法分析饱和分层络弹簧半空间的表面波

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Abstract There are multiple modes of surface waves in saturated layered poroelastic half-spaces. The phase velocity and the attenuation of the modes are frequency dependent. The frequency behaviour of the modes can be studied using the layer transfer, stiffness and the transmission/reflection matrix methods. However, it is very difficult to find the complex roots of the determinants because the entries of the matrices involve the complex exponential functions of the wavenumber and the thickness of layer. To overcome this difficulty, the entries in the matrix are expressed in the form of algebraic functions using the thin layer method. Thus, the eigenvalues and eigenvectors can be easily solved using the matrix decomposition techniques instead of the root-searching ones. Some of the eigenvalues correspond to the wavenumbers of the surface waves, and can be picked out based on the characteristics of the surface waves. The frequency behaviour, variations of the pore pressure and the skeleton’s displacements with the depth can be then investigated from the corresponding eigenvalues and eigenvectors, respectively. The method is verified by comparing the analytical and the discrete results in the saturated poroelastic half-space with the permeable surface. The method is applied to appreciate the effects of an impermeable surface on Rayleigh waves (R-waves) and the existence of Stoneley waves in the poroelastic half-space. The frequency behaviour of Rayleigh waves in three typical layered poroelastic half-spaces is also analyzed.
机译：摘要饱和分层孔弹性半空间中有多种表面波。模式速度和模式的衰减是频率相关的。可以使用层传送，刚度和传输/反射矩阵方法研究模式的频率特性。然而，由于矩阵的条目涉及波数和层的厚度，因此很难找到决定因素的复杂根。为了克服这种困难，矩阵中的条目以使用薄层方法以代数函数的形式表示。因此，可以使用矩阵分解技术而不是根本搜索的特征值来容易地解决特征值和特征向量。一些特征值对应于表面波的波数，并且可以基于表面波的特性挑出。然后，分别可以分别从相应的特征值和特征向量研究孔隙压力和骨架的骨压和骨架的位移的变化。通过将分析和离散的结果与可渗透表面进行比较，通过比较饱和的孔隙弹性半空间中的分析和离散结果来验证该方法。应用该方法以欣赏不可渗透表面对瑞利波（R波）的影响，以及在多孔弹性半空间中存在的Stoneley波的存在。还分析了三个典型的分层孔弹性半空间中的瑞利波的频率特性。

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