The dynamic responses of an anisotropic multilayered poroelastic half-space to a point load or a fluid source are studied based on Stroh formalism and Fourier transforms. Taking the boundary conditions and the continuity of the materials into consideration, the three-dimensional Green’s functions of generalized concentrated forces (force and fluid source) applied at the free surface, interface and in the interior of a layer are derived in the Fourier transformed domain, respectively. The actual solutions in the frequency domain can further be acquired by inverting the Fourier transform. Finally, numerical examples are carried out to verify the presented theory and discuss the Green’s fields due to three cases of a concentrated force or a fluid source applied at three different locations for an anisotropic multilayered poroelastic half-space.

中文翻译：

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各向异性多层多孔弹性半空间的动态格林函数

基于 Stroh 形式主义和傅立叶变换研究了各向异性多层多孔弹性半空间对点载荷或流体源的动态响应。考虑边界条件和材料的连续性，在傅立叶变换域中推导出施加在自由表面、界面和层内部的广义集中力（力和流体源）的三维格林函数， 分别。频域中的实际解可以通过傅里叶变换的反演进一步获得。最后，通过数值例子验证了所提出的理论，并讨论了由于集中力或流体源施加在各向异性多层多孔弹性半空间的三个不同位置的三种情况下的格林场。