I. Inverse Scattering Subseries for Removal of Internal Multiples and Depth Imaging Primaries; II. Green's Theorem as the Foundation of Interferometry and Guiding New Practical Methods and Applications
University of Houston, 2007 - Imaging systems in seismology - 185 pages
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.
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