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Dynamic Green’s Functions for an Anisotropic Multilayered Poroelastic Half-Space
Authors:Wang  Fang  Ding  Tao  Han  Xueli  Lv  Lei
Affiliation:1.Department of Mechanics, School of Aerospace Engineering, Beijing Institute of Technology, Beijing, 100081, People’s Republic of China
;2.School of Petroleum Engineering and Environmental Engineering, Yan’an University, Yan’an, 716000, People’s Republic of China
;3.School of Chemistry and Chemical Engineering, Yan’an University, Yan’an, 716000, People’s Republic of China
;
Abstract:

The dynamic responses of an anisotropic multilayered poroelastic half-space to a point load or a fluid source are studied based on Stroh formalism and Fourier transforms. Taking the boundary conditions and the continuity of the materials into consideration, the three-dimensional Green’s functions of generalized concentrated forces (force and fluid source) applied at the free surface, interface and in the interior of a layer are derived in the Fourier transformed domain, respectively. The actual solutions in the frequency domain can further be acquired by inverting the Fourier transform. Finally, numerical examples are carried out to verify the presented theory and discuss the Green’s fields due to three cases of a concentrated force or a fluid source applied at three different locations for an anisotropic multilayered poroelastic half-space.

Keywords:
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