Dynamic Green's functions for an anisotropic poroelastic half‐space

Summary The dynamic responses of an anisotropic poroelastic half‐space under an internal point load and fluid source are investigated in the frequency domain in this paper. By virtue of Fourier transform and Stroh formalism, the three‐dimensional (3D) general solutions of the anisotropic Biot's...

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Bibliographic Details
Published inInternational journal for numerical and analytical methods in geomechanics Vol. 44; no. 6; pp. 904 - 920
Main Authors Wang, Fang, Ding, Tao, Han, Xueli, Lv, Lei
Format Journal Article
LanguageEnglish
Published Bognor Regis Wiley Subscription Services, Inc 25.04.2020
Subjects
anisotropic
Anisotropy
dynamics
Exact solutions
Fourier transforms
frequency
Frequency domain analysis
Green's function
Green's functions
half‐space
Isotropic material
Material properties
Pore pressure
poroelastic
Properties
Water pollution
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Summary:Summary The dynamic responses of an anisotropic poroelastic half‐space under an internal point load and fluid source are investigated in the frequency domain in this paper. By virtue of Fourier transform and Stroh formalism, the three‐dimensional (3D) general solutions of the anisotropic Biot's coupling dynamics equations are derived in the frequency domain. Considering the two surface conditions, permeable and impermeable, the analytical solutions for displacement fields and pore pressure in half‐space under a point source (point load or a fluid source) are obtained. When the material properties are isotropic, the numerical results of the poroelastic half‐space are in excellent agreement with the existing analytical solutions. For anisotropic half‐space cases, numerical results show the strong dependence of the dynamic Green's functions on the material properties.
ISSN:0363-9061
1096-9853
DOI:10.1002/nag.3047