Abstract
The Wentzel, Kramers, Brillouin, and Jeffreys (WKBJ) seismogram theory has proved useful for computing impulsive waveforms in vertically inhomogeneous media. In this article, the WKBJ seismogram theory is applied to compute the displacement fields in anisotropic media. Several numerical examples of transversely isotropic media are presented with a particular emphasis on the waveforms at and near cusps. Synthetic seismograms are computed for a line as well as for a point source including those regions of space where shear wave triplication occurs. The waveform of the reverse branch is the Hilbert transform of the forward branches. For a line source, the region between the forward branches and the reverse branch carries no energy, and is the region of complete silence known as a lacuna. Diffracted signals due to cusps on the shear wave surface are also observed. The waveform of the diffracted signal depends upon the waveform of the branch with dominant energy at the cusp.
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