ELASTODYNAMIC GREEN'S TENSOR IN VERTICALLY TRANSVERSELY ISOTROPIC MEDIA

The elastodynamic Green's tensor in a vertically transversely isotropic (VTI) medium is presented explicitly as an inverse Hankel transform. The asymptotic solution is found by the stationary phase approximation. An approximate formula in weak VTI media is derived based on a novel way of expanding the vertical slowness linearly to anisotropic parameters in which case the stationary-phase points can be found analytically. The approximate solution will become exact when the medium degenerates into an elliptical VTI rather than an isotropic medium.