中文摘要：

在频率领域， poroelastic 一半空间的基本解决方案在 Biots 理论的上下文被重新导出。把理论基于 Biots，为动态 poroelasicity 的管理的地方程以固体被建立排水量和毛孔压力。在圆柱的坐标系统的潜力的一个方法被建议到 decouple 进四个分级的 Helmholtz 方程的同类的 Biots 波浪方程，和这些分级的波浪方程的一般答案被获得。在那以后，光谱为 poroelastic 的草地函数完整空间通过稳固的排水量，毛孔压力，和身体力量地的分解被发现。镜像技术然后被使用构造一半空间基础答案。最后，到埋葬的点力量的一半空间的短暂回答被检验。

英文摘要：

In frequency domain, the fundamental solutions for a poroelastic half-space are re-derived in the context of Biot＇s theory. Based on Biot＇s theory, the governing field equations for the dynamic poroelasicity are established in terms of solid displacement and pore pressure. A method of potentials in cylindrical coordinate system is proposed to decouple the homogeneous Biot＇s wave equations into four scalar Helmholtz equations, and the general solutions to these scalar wave equations are obtained. After that, spectral Green＇s functions for a poroelastic full-space are found through a decomposition of solid displacement, pore pressure, and body force fields. Mirror-image technique is then applied to construct the half-space fundamental solutions.Finally, transient responses of the half-space to buried point forces are examined.