Two-dimensional and three-dimensional asymptotic Green's functions for linear inversion

Andrzej J. Hanyga; Philippe Thierry; Gilles Lambare; Paulo S. Lucio

doi:10.1117/12.218492

1 September 1995 Two-dimensional and three-dimensional asymptotic Green's functions for linear inversion

Andrzej J. Hanyga, Philippe Thierry, Gilles Lambare, Paulo S. Lucio

Proceedings Volume 2571, Mathematical Methods in Geophysical Imaging III; (1995) https://doi.org/10.1117/12.218492
Event: SPIE's 1995 International Symposium on Optical Science, Engineering, and Instrumentation, 1995, San Diego, CA, United States

Abstract

We present a numerical method of computing asymptotic Green's functions for applications in linear inversion of seismic reflection data. The method is based on tracing a density sampled ray field, which is locally interpolated for ray field parameters. We propose a uniformly valid asymptotic formula relating the wave field to the ray field parameters. A few test bases and an application to the linearized inversion of seismic reflection data are presented.

Citation Download Citation

Andrzej J. Hanyga, Philippe Thierry, Gilles Lambare, and Paulo S. Lucio "Two-dimensional and three-dimensional asymptotic Green's functions for linear inversion", Proc. SPIE 2571, Mathematical Methods in Geophysical Imaging III, (1 September 1995); https://doi.org/10.1117/12.218492

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