The dynamic responses of an anisotropic poroelastic half‐space under an internal point load and fluid source are investigated in the frequency domain in this paper. By virtue of Fourier transform and Stroh formalism, the three‐dimensional (3D) general solutions of the anisotropic Biot's coupling dynamics equations are derived in the frequency domain. Considering the two surface conditions, permeable and impermeable, the analytical solutions for displacement fields and pore pressure in half‐space under a point source (point load or a fluid source) are obtained. When the material properties are isotropic, the numerical results of the poroelastic half‐space are in excellent agreement with the existing analytical solutions. For anisotropic half‐space cases, numerical results show the strong dependence of the dynamic Green's functions on the material properties.

中文翻译：

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各向异性多孔弹性半空间的动态格林函数

本文研究了频域内点载荷和流体源作用下各向异性多孔弹性半空间的动力响应。借助傅立叶变换和Stroh形式主义，在频域中推导了各向异性Biot耦合动力学方程的三维（3D）通用解。考虑到渗透性和非渗透性两个表面条件，得出了点源（点载荷或流体源）下半空间位移场和孔隙压力的解析解。当材料特性为各向同性时，多孔弹性半空间的数值结果与现有的解析解非常吻合。对于各向异性的半空间情况，数值结果表明动态格林'