Dynamic Green’s Functions for an Anisotropic Multilayered Poroelastic Half-Space

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...

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Bibliographic Details
Published inTransport in porous media Vol. 133; no. 2; pp. 293 - 312
Main Authors Wang, Fang, Ding, Tao, Han, Xueli, Lv, Lei
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.06.2020
Springer Nature B.V
Subjects
Boundary conditions
Civil Engineering
Classical and Continuum Physics
Earth and Environmental Science
Earth Sciences
Fourier transforms
Free surfaces
Geotechnical Engineering & Applied Earth Sciences
Half spaces
Hydrogeology
Hydrology/Water Resources
Industrial Chemistry/Chemical Engineering
Poroelastic
Dynamics response
Frequency
Anisotropic multilayered half-space
3D Green’s function
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Summary: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.
ISSN:0169-3913
1573-1634
DOI:10.1007/s11242-020-01424-x