Non-linear seismic inversion faces difficulties with multiple local minima due to cycle skipping. It is possible to demonstrate that cycle skipping is unlikely to appear in the diffusive domain with a very common definition of the error.

Seismic data can be transformed to the diffusive domain and inverted to obtain intermediate estimates of the velocity model. This intermediate velocity model may serve as initial models for inversion processing in the wave domain or may serve as a velocity model for reverse time migration.

One of the properties of the wave to diffusion transform is that it effectively extracts refractions from a common shot gather or common receiver gather containing reflections, diffractions and refractions.


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