Signal and noise separation in prestack seismic data using velocity-dependent seislet transform |

In a laterally homogeneous model, the NMO equation 6
flattens primary events on a CMP gather with offset and time
to its zero-offset traveltime . Brown and Guitton (2005) use an analogous
NMO equation for pegleg multiples under locally 1D earth assumption. For
example, first-order pegleg can be kinematically approximated by
pseudo-primary with the same offset but with an additional zero-offset
traveltime . The NMO equation for an th-order pegleg multiple
is generalized to

In marine seismic data, is constant water velocity, and it assumes that we are able to pick zero-offset traveltime of the water bottom. According to the definition of slopes for primaries (equation 7), slopes for pegleg multiples can be calculated analogously by:

Equation 10 provides the estimation of multiple slopes, which we use to define VD-seislet frame for representing pegleg multiples of different orders.

Signal and noise separation in prestack seismic data using velocity-dependent seislet transform |

2015-10-24