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Expanded fitting goals

The simple fitting goals seen in a previous section ([*]) do not reflect what must be done to use RIP in practice. The seismic imaging results in this thesis are obtained using these fitting goals:

   55#55 (25)
(26)

56#56 is a mask that allows us to pad the offsets and frequencies. 57#57 is weighting operator that allows us to apply the Jacobian and mask out angles beyond the critical angle. 58#58 is a user-defined mask that can be used to further limit the ray parameters, generally to smooth in depth the effect of masking beyond the critical angle. 43#43 now has two possible definitions. It can be the inverse of the geophysical regularization operator 50#50 or it can be the inverse of the cascade of the geophysical regularization operator and the geological regularization operator 54#54.

In practice, the downward continuation migration operator 59#59 needs to be modified. First, to reduce artifacts, I have included absorbing boundaries to reduce edge effects. Second, to reduce the computational cost of the inversion, I have designed the migration operator so that it has a variable depth step option so that the inversion can take one step through the whole water column.


next up previous print clean
Next: Accommodating the model space Up: RIP in practice Previous: RIP in practice
Stanford Exploration Project
10/31/2005