Abstract
We present a new algorithm for calculating an image of dispersive energy in the frequency-velocity (f-v) domain. The frequency decomposition is first applied to a shot gather in the offset-time domain to stretch impulsive data into pseudo-vibroseis data or frequency-swept data. Because there is a deterministic relationship between frequency and time in a sweep used in the frequency decomposition, the first step theoretically completes the transform from time to frequency. The slant stacking is then performed on the frequency-swept data to complete the transform from offset to velocity. This simple two-step algorithm generates an image of dispersive energy in the f-v domain. The straightforward transform only uses offset information of data so that this algorithm can be applied to data acquired with arbitrary geophone-acquisition geometry. Examples of synthetic and real-world data demonstrate that this algorithm generates accurate images of dispersive energy of the fundamental as well as higher modes.
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Xia, J., Xu, Y. & Miller, R. Generating an Image of Dispersive Energy by Frequency Decomposition and Slant Stacking. Pure appl. geophys. 164, 941–956 (2007). https://doi.org/10.1007/s00024-007-0204-9
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DOI: https://doi.org/10.1007/s00024-007-0204-9