Dynamic 2.5-D green's function for a poroelastic half-space

作者：Zhou, Shunhua; He, Chao^*; Di, Honggui

来源：Engineering Analysis with Boundary Elements, 2016, 67: 96-107.

DOI：10.1016/j.enganabound.2016.03.011

• 2.5-D Green's function
• Poroelastic half-space
• Biot's theory
• Boundary element
• Discrete wavenumber
• Fourier transform

The dynamic two-and-a-half-dimensional (2.5-D) Green's function for a poroelastic half-space subject to a point load and dilatation source is derived based on Biot's theory, with the consideration of both a permeable surface and an impermeable surface. The governing differential equations for the 2.5-D Green's function are established by applying the Fourier transform to the governing equations of the three-dimensional (3-D) Green's function. The dynamic 2.5-D Green's function is derived in a full-space using the potential decomposition and discrete wavenumber methods. The surface terms are introduced to fulfil the free-surface boundary conditions and thereby obtain the dynamic 2.5-D Green's function for a poroelastic half-space with the permeable and impermeable surfaces. The half-space 2.5-D Green's function is verified through comparison with the 2.5-D Green's function regarding an elastodynamic half-space and the 3-D Green's function for a poroelastic half-space. A numerical case is provided to compare between the full-space solutions and the half-space solutions with two different sets of free surface boundary conditions. In addition, a case study of efficient calculation of vibration from a tunnel embedded in a poroelastic half-space is presented to show the application of the 2.5-D Green's function in engineering problems.

• 出版日期2016-6
• 单位同济大学