Prestack shot-gather depth migration by a rigid flow of Gaussian wave packets |
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Authors: | Anton A Duchkov Fredrik Andersson Rikard Ojala |
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Institution: | 1. Institute of Petroleum Geology and Geophysics SB RAS, Pr. Ac. Koptyuga 3, 630090, Novosibirsk, Russian Federation 2. Geophysical Department, Novosibirsk State University, Novosibirsk, Russian Federation 3. Centre for Mathematical Sciences, Lund University, Lund, Sweden
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Abstract: | We introduce a new method for prestack depth migration of seismic common-shot gathers. The computational procedure follows
standard steps of the reverse-time migration, i.e., downward continuation of the source and the receiver wavefields, followed
by application of an imaging condition (e.g. zero-lag cross-correlation of these fields). In our method we first find a sparse
data representation with a small number of Gaussian wave packets. We then approximate the downward wavefield propagation (for
the source and the receiver fields) by a rigid flow of these wave packets along seismic rays. In this case, the wave packets
are simply translated and rotated according to the ray geometry. One advantage of using Gaussian wave packets is that analytic
formulas can be used for translation, rotation, and the application of the cross-correlation imaging condition. Moreover,
they allow more sparse representations than competing methods. Finally we formulate a computationally and memory efficient
migration procedure, as only few rays have to be traced, and since it is cheap to compute the cross-correlation for the intersecting
rays. |
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Keywords: | |
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