** Next:** Estimation of Seabed Reflection
** Up:** Brown: Pegleg amplitudes
** Previous:** Snell Resampling Removes AVO/Attenuation

The Snell resampling transformation derived in the previous section renders
pegleg multiples and primaries invariant with respect to AVO and attenuation.
However, because of their longer raypaths, multiples suffer greater geometric
spreading losses than the corresponding primary. Following previous authors
Lu et al. (1999); Ursin (1990), I write offset-dependent geometric
spreading corrections for a primary (*g*_{prim}) and its pegleg multiples
(*g*_{mult}), respectively:
| |
(4) |

| (5) |

*V*_{eff} is defined in equation (2). After scaling by the ratio
*g*_{mult}/*g*_{prim} and Snell resampling, a pegleg multiple should be an exact
copy of its associated primary, to within a scaling by the appropriate reflection
coefficient.

** Next:** Estimation of Seabed Reflection
** Up:** Brown: Pegleg amplitudes
** Previous:** Snell Resampling Removes AVO/Attenuation
Stanford Exploration Project

7/8/2003