Abstract
This chapter describes the complete dynamic two-and-a-half-dimensional (2.5D) Green’s function for a point load and dilatation source buried in a saturated porous medium. Based on Biot’s theory, the governing differential equations for the 2.5D Green’s function are established by using the Fourier transform. The dynamic 2.5D Green’s function is derived in the poroelastic full-space using potential decomposition. The surface terms are introduced to fulfill the free-surface boundary conditions and thereby obtain the dynamic 2.5D Green’s function for a poroelastic half-space. Utilizing the boundary conditions of the free surface, interfaces, and bottom half-space, the 2.5D Green’s function for a multilayered poroelastic half-space is obtained by the transmission and reflection matrix method. The proposed 2.5D Green’s function can be used to develop the 2.5D boundary element model for saturated soil, which is discussed further in Chapter 5, 2.5D FE–BE Model for the Prediction of Train-Induced Vibration From a Tunnel in Saturated Soil.
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