Modeling, adjoint modeling, and migration in V(z) media, using mono-frequency Green's functions

Dave Nichols

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ABSTRACT

Modeling and migration are very simple to implement if pre-tabulated Green's functions are available. I use Green's functions, calculated at a few frequencies to estimate, the Green's functions for all frequencies. In a V(z) medium the Green's function is independent of surface location therefore only one set needs to be calculated. I calculate this set by one way extrapolation in polar coordinates. They are then used to perform prestack modeling and migration of data. Because they are calculated in polar coordinates they can be used to model and image overturned waves.