## Weak-contrast reflection-transmission coefficients
in a generally anisotropic background

**Ludek Klimes**
### Abstract

Explicit equations for
approximate linearized reflection-transmission coefficients
at a generally oriented weak-contrast interface
separating two generally and independently anisotropic media are presented.
The equations are derived also for all singular directions
and are thus valid in degenerate cases
(e.g., in an isotropic background).
The equations are expressed in general Cartesian coordinates,
with arbitrary orientation of the interface.
The explicit equations for linearized
reflection-transmission coefficients have a very simple form --
much simpler than the equations published previously.
The equations for all reflection-transmission coefficients,
with the exception of the unconverted transmitted wave, have a common form.
The form of the equations is very suitable for inversion and
for analysing the sensitivity of seismic data to discontinuities
in the individual elastic moduli.
The factors of proportionality of the contrasts of elastic
moduli and density are expressed in terms
of the slowness and polarization vectors
of the corresponding generated wave and incident wave.

### Keywords

Reflection-transmission coefficients, seismic anisotropy,
ray theory, amplitude inversion,
amplitude versus offset (AVO), amplitude versus azimuth (AVA).

### Whole paper

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*Geophysics*, **68** (2003), 2063-2072.

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