## Moveout approximations for P- and SV-waves
in dip-constrained transversely isotropic media

**Veronique Farra** **&**
**Ivan Psencik**
### Summary

We generalize the P- and SV-wave moveout formulas for transversely
isotropic media with vertical axes of symmetry (VTI), based on
the weak-anisotropy approximation, for 3D dip-constrained transversely
isotropic (DTI) media. A DTI medium is a transversely isotropic medium
whose axis of symmetry is perpendicular to a dipping reflector.
The formulas are derived in the plane defined by the source-receiver
line and the normal to the reflector. In this configuration, they can
be easily obtained from the corresponding VTI formulas. It is only
necessary to replace the expression for the normalized offset
by the expression containing the apparent dip angle. The final results
apply to general 3D situations, in which the plane reflector may have
arbitrary orientation, and both the source and the receiver may
be situated arbitrarily in the DTI medium. The accuracy of the proposed
formulas is tested on models with varying dip of the reflector, and for
several orientations of the source-receiver line in a horizontal plane.

### Whole paper

The paper is available in
PDF (181 kB).

In: Seismic Waves in Complex 3-D Structures, Report 23,
pp. 105-119, Dep. Geophys., Charles Univ., Prague, 2013.