## Uncertainty analysis for inversion of qP-wave
reflection amplitudes in weakly anisotropic elastic media

**Jorge Leonardo Martins** **&**
**Ivan Psencik**
### Summary

An approximate equation for qPqP reflection coefficients is used
in order to recover contrasts in weak anisotropy (WA) parameters
of media surrounding an interface.
The approximation fits, within the subcritical region,
exact calculations of reflections at a weak-contrast interface
separating two homogeneous, weakly anisotropic elastic media
of arbitrary symmetry.
Linear dependence of reflection amplitudes on contrasts
in WA parameters is convenient property of this approximation.
Hence, the singular value decomposition (SVD) technique
is applied to recovering the contrasts, with numerical reflection
data from an interface separating an upper isotropic halfspace
from a bottom transversely isotropic halfspace with horizontal
axis of symmetry (HTI).
Reflection amplitudes from a range of incidence angles commonly
found in practice and from at least five measurement profiles
are needed for recovering the contrasts in WA parameters.
Such a conclusion is drawn by performing an uncertainty analysis
for the inversion.

### Whole paper

The paper is available in
PostScript (335 kB, colour figures)
and GZIPped PostScript (90 kB, colour figures).

In: Seismic Waves in Complex 3-D Structures, Report 11,
pp. 69-72, Dep. Geophys., Charles Univ., Prague, 2001.

In: *Expanded Abstracts of 7th Int. Congress of SBGf (Salvador)*,
Brazilian Geophysical Society, 2001.

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