| This dissertation extends the current theory and algorithm to attenuate internal multiples, based on inverse scattering, to an eliminator of these events in the data. I identified, for the first time, the terms in the inverse scattering series corresponding to diagrams beyond the first term in a series that eliminates internal multiples. I was able to write those identified terms that take attenuation towards elimination of internal multiples in a closed form. This new capture represents an eliminator of all internal multiples generated at the shallowest reflector and further reduces internal multiples generated at deeper reflectors.;The second main result of this dissertation develops two new theories for data extrapolation: (1) constant velocity data extrapolation using the first inverse scattering equation, and (2) data-driven data extrapolation and regularization with Green's theorem and seismic interferometry. |
