Open AccessSurface waves in a general anisotropic poroelastic solid half‐space
Author(s) -
Sharma M. D.
Publication year - 2004
Publication title -
geophysical journal international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0956-540X
DOI - 10.1111/j.1365-246x.2004.02436.x
Subject(s) - poromechanics , anisotropy , isotropy , surface wave , dissipative system , surface (topology) , wave propagation , love wave , classical mechanics , free surface , physics , mathematical analysis , porous medium , longitudinal wave , geometry , mechanical wave , mathematics , mechanics , geology , optics , porosity , thermodynamics , geotechnical engineering
SUMMARY 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).