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To correct peglegs for the effects of greater geometric spreading losses, I
follow previous authors Lu et al. (1999); Ursin (1990) and write
offset-dependent geometric spreading corrections for a primary (
)
and its pegleg multiples (
) in the following notation:
| ![\begin{eqnarray}
g_{\rm prim} &=& v^*t_{\rm prim}(x)
= \sqrt{(\tau v^*)^2 + \l...
...[(\tau+j\tau^*) v^*]^2 + \left(\frac{xv^*}{V_{\rm eff}}\right)^2}.\end{eqnarray}](img92.gif) |
(23) |
| (24) |
v* is the velocity at the surface. After scaling by
and Snell resampling, the amplitudes of an imaged
pegleg multiple and its associated primary are consistent, to within a reflection
coefficient.
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Stanford Exploration Project
5/30/2004