Green's functions in layered poroelastic half-spaces

✍ Scribed by Pan, E.

• Publisher: John Wiley and Sons
• Year: 1999
• Tongue: English
• Weight: 153 KB
• Volume: 23
• Category: Article
• ISSN: 0363-9061
• DOI: 10.1002/(sici)1096-9853(199911)23:13<1631::aid-nag60>3.0.co;2-q

✦ Synopsis

In this paper, the complete Green's functions in a multilayered, isotropic, and poroelastic half-space are presented. It is the "rst time that all the common point sources, i.e. the total force, #uid force, #uid dilatation, and dislocation, are considered for a layered system. The Laplace transform is applied "rst to suppress the time variable. The cylindrical and Cartesian systems of vector functions and the propagator matrix method are then employed to derive the Green's functions. In the treatment of a point dislocation, an equivalent body-source concept is introduced, and the di!erence of a dislocation in a purely elastic and a poroelastic medium is discussed. While the spatial integrals involved in the Green's functions can be evaluated accurately by an adaptive Gauss quadrature with continued fraction expansions, the inverse Laplace transform can be carried out by applying a common numerical inversion technique. These complete Green's functions can be implemented into a suitable boundary element formulation to study the deformation and fracture problems in a layered poroelastic half-space.