Astronomy and Astrophysics – Astronomy
Scientific paper
Nov 2004
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004geoji.159..703s&link_type=abstract
Geophysical Journal International, Volume 159, Issue 2, pp. 703-710.
Astronomy and Astrophysics
Astronomy
3
Anisotropic Porous Solid, Secular Equation, Surface Waves
Scientific paper
A method is introduced for studying surface waves in a general anisotropic poroelastic medium. The method is analogous to the one used for isotropic media and derives a complex secular equation to represent the propagation of surface waves at the stress-free plane surface of a non-dissipative porous medium. The point of importance is that the derived equation is, analytically, separable into real and imaginary parts and hence can be solved by iterative numerical methods. A root of this secular equation represents the existence of surface waves and calculates the apparent phase velocity along a given direction on the surface. Numerical work is carried out for the model of a crustal rock. The propagation of surface waves is studied numerically for the top three anisotropies (i.e. triclinic, monoclinic, orthorhombic).
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