Rayleigh wave dispersion equation with real terms in a layered transversely isotropic half space

Sankar N Bhattacharya


We consider transversely isotropic media with vertical axis of symmetry (VTI).  Solutions of P-SV equation of motion in a homogeneous VTI medium contain depth decay factors r1 and r2, which sometimes become complex depending on VTI parameters.  In this case, r1 and r2 are complex conjugates.  Using this property, we obtain dispersion equation of Rayleigh waves with real terms for a layered VTI half space through Thomson-Haskell method with reduced delta matrix.  Phase and group velocities as well as surface ellipticity of Rayleigh waves are computed in real domain for a few oceanic and continental VTI structures of the earth.  Present computation in real domain is similar to that in a layered isotropic half space using the same method.  Thus it is presumed that such computation in a layered VTI half space will allow efficient evaluation of a VTI structure of the earth.


Seismic anisotropy, Surface waves and free oscillations, Computational seismology, Wave propagation, Theoretical seismology.

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DOI: https://doi.org/10.4401/ag-7444
