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

Fang Wang*, Tao Ding, Xueli Han, Lei Lv

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)293-312
Number of pages20
JournalTransport in Porous Media
Volume133
Issue number2
DOIs
Publication statusPublished - 1 Jun 2020

Keywords

  • 3D Green’s function
  • Anisotropic multilayered half-space
  • Dynamics response
  • Frequency
  • Poroelastic

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