A 2.5-D dynamic model for a saturated porous medium: Part I. Green's function

TY - JOUR

T1 - A 2.5-D dynamic model for a saturated porous medium

T2 - Part I. Green's function

AU - Lu, Jian-Fei

AU - Jeng, Dong-Sheng

AU - Williams, Sally

N1 - Copyright 2008 Elsevier B.V., All rights reserved.

PY - 2008/1/15

Y1 - 2008/1/15

N2 - Based on Biot's theory, the dynamic 2.5-D Green's function for a saturated porous medium is obtained using the Fourier transform and the potential decomposition methods. The 2.5-D Green's function corresponds to the solutions for the following two problems: the point force applied to the solid skeleton, and the dilatation source applied within the pore fluid. By performing the Fourier transform on the governing equations for the 3-D Green's function, the governing differential equations for the two parts of the 2.5-D Green's function are established and then solved to obtain the dynamic 2.5-D Green's function. The derived 2.5-D Green's function for saturated porous media is verified through comparison with the existing solution for 2.5-D Green's function for the elastodynamic case and the closed-form 3-D Green's function for saturated porous media. It is further demonstrated that a simple form 2-D Green's function for saturated porous media can be been obtained using the potential decomposition method.

AB - Based on Biot's theory, the dynamic 2.5-D Green's function for a saturated porous medium is obtained using the Fourier transform and the potential decomposition methods. The 2.5-D Green's function corresponds to the solutions for the following two problems: the point force applied to the solid skeleton, and the dilatation source applied within the pore fluid. By performing the Fourier transform on the governing equations for the 3-D Green's function, the governing differential equations for the two parts of the 2.5-D Green's function are established and then solved to obtain the dynamic 2.5-D Green's function. The derived 2.5-D Green's function for saturated porous media is verified through comparison with the existing solution for 2.5-D Green's function for the elastodynamic case and the closed-form 3-D Green's function for saturated porous media. It is further demonstrated that a simple form 2-D Green's function for saturated porous media can be been obtained using the potential decomposition method.

UR - https://www.scopus.com/pages/publications/44249106807

U2 - 10.1016/j.ijsolstr.2007.07.025

DO - 10.1016/j.ijsolstr.2007.07.025

M3 - Article

AN - SCOPUS:44249106807

SN - 0020-7683

VL - 45

SP - 378

EP - 391

JO - International Journal of Solids and Structures

JF - International Journal of Solids and Structures

IS - 2

ER -