## Kirchhoff prestack depth scalar migration
of complete wave fields in simple inhomogeneous weakly
anisotropic velocity models: PP, PS1 and PS2 waves

**Vaclav Bucha**
### Summary

We use the 3-D ray-based Kirchhoff prestack depth scalar migration
to calculate migrated sections in two simple inhomogeneous weakly
anisotropic velocity models. Each velocity model is composed of two
layers separated by a curved interface. The upper layer is
inhomogeneous weakly anisotropic and the bottom layer is isotropic.
The "recorded" complete seismic wave fields are calculated using
the Fourier pseudospectral method. We apply the 3-D Kirchhoff prestack
depth scalar migration to a single-layer velocity model with the same
anisotropy as in the upper layer of the velocity model used
to calculate the recorded wave field. We migrate the recorded wave
field using three different ray-theory approximations of S waves:
(a) common S-wave approximation of both S waves,
(b) anisotropic-ray-theory approximation of S waves,
(c) prevailing-frequency approximation of the coupling ray theory
for S waves. We show and discuss the results of the migration
of the complete wave field.

### Keywords

Fourier pseudospectral method, 3-D Kirchhoff prestack depth scalar
migration, anisotropic velocity model, weak anisotropy, complete
wave field, coupling ray theory

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*Seismic Waves in Complex 3-D Structures*, **29** (2019), 19-38
(ISSN 2336-3827, online at http://sw3d.cz).