23 September 1994 Quasi-Monte Carlo approach to efficient 3D seismic image reconstruction
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Abstract
Wozniakowski recently achieved a mathematical breakthrough in understanding the tractability of multidimensional integration using nearly-optimal quasi-Monte Carlo methods. Inspired by the new mathematical insights, we have studied the feasibility of applying quasi-Monte Carlo methods to seismic imaging by 3D pre-stack Kirchhoff migration. This earth imaging technique involves computing a large (109) number of 3- or 4-dimensional integrals. Our numerical studies show that nearly-optimal quasi-Monte Carlo migration can produce the same or better quality earth images using only a small fraction (one fifth or less) of the data required by a conventional Kirchhoff migration.
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Yongshe Sun, Yongshe Sun, Gerard T. Schuster, Gerard T. Schuster, Kris Sikorski, Kris Sikorski, "Quasi-Monte Carlo approach to efficient 3D seismic image reconstruction", Proc. SPIE 2301, Mathematical Methods in Geophysical Imaging II, (23 September 1994); doi: 10.1117/12.187488; https://doi.org/10.1117/12.187488
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