** Next:** REFERENCES
** Up:** Brown: Pegleg amplitudes
** Previous:** Conclusions

WesternGeco acquired and released the Mississippi Canyon dataset in 1997.
A
Derivation of Snell Resampling Operator
In the following appendix, I derive the Snell resampling operation, equation
(1).
The graphical basis for the derivation is Figure . Since
the pegleg multiple and primary in the figure have the same emergence angle,
, the stepout of the two events is the same at *x* and *x*_{p}. First
we compute the stepout of the primary event (standard NMO equation):
| |
(10) |

| (11) |

| (12) |

Brown (2002) derived an extension to the conventional NMO equation
which flattens peglegs to the zero-offset traveltime of the reflector of
interest.
| |
(13) |

Using equations (13) and (2), we can similarly compute
the stepout of the corresponding *j*^{th}-order pegleg multiple:
| |
(14) |

Finally, we compute *x*_{p} as a function of *x*. We square equations
(12) and (14), set them equal, then
substitute equation (13) for *t*_{m} and *t*_{p}.
| |
(15) |

| (16) |

| (17) |

** Next:** REFERENCES
** Up:** Brown: Pegleg amplitudes
** Previous:** Conclusions
Stanford Exploration Project

7/8/2003