Caustics in a periodically layered transversely isotropic medium with vertical symmetry axis

Caustics in a periodically layered transversely isotropic medium with vertical symmetry axis

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Wave propagation in a finely layered medium is a very important topic in seismic modelling and inversion. Here we analyse non-vertical wave propagation in a periodically layered transversely isotropic (VTI) medium and show that the evanescent (attenuation) zones in the frequency-horizontal slowness domain result in caustics in the group velocity domain. These caustics, which may appear for both the quasi-compressional (qP) and quasi-shear (qSV) wave surfaces are frequency dependent but display weak dependence at low frequencies. The caustics computed for a specific frequency differ from those observed at the low- and high-frequency limits. We illustrate these caustics with a few numerical examples and snapshots computed for both qP- and qSV-wave types.
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Wave propagation in a finely layered medium is a very important topic in seismic modelling and inversion. Here we analyse non-vertical wave propagation in a periodically layered transversely isotropic (VTI) medium and show that the evanescent (attenuation) zones in the frequency-horizontal slowness domain result in caustics in the group velocity domain. These caustics, which may appear for both the quasi-compressional (qP) and quasi-shear (qSV) wave surfaces are frequency dependent but display weak dependence at low frequencies. The caustics computed for a specific frequency differ from those observed at the low- and high-frequency limits.

We illustrate these caustics with a few numerical examples and snapshots computed for both qP- and qSV-wave types.

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