Hybrid methods of seismic data inversion

Simon Katz; Alex Beylin

doi:10.1117/12.164844

1 December 1993 Hybrid methods of seismic data inversion

Simon Katz, Alex Beylin

Proceedings Volume 2033, Mathematical Methods in Geophysical Imaging; (1993) https://doi.org/10.1117/12.164844
Event: SPIE's 1993 International Symposium on Optics, Imaging, and Instrumentation, 1993, San Diego, CA, United States

Abstract

A new hybrid method for inversion of reflected seismic waves based on iterative minimization of a cost function has been developed and tested on synthetic data. It includes the following steps: (1) iterative generation of a trial set of wave-forms, (2) construction of the fuzzy neighborhood set for a recorded wave-form in the set of trial wave-forms, (3) fuzzy mapping of the neighborhood set to the space of seismic parameters to produce the fuzzy image of the neighborhood set, and (4) defuzzification of the image set and calculation of the center of the next set of trial wave-forms. The sequence of centers of the trial wave-forms is constructed in such a way that it converges to a global minimum of the cost function.

Citation Download Citation

Simon Katz and Alex Beylin "Hybrid methods of seismic data inversion", Proc. SPIE 2033, Mathematical Methods in Geophysical Imaging, (1 December 1993); https://doi.org/10.1117/12.164844

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