Generating an Image of Dispersive Energy by Frequency Decomposition and Slant Stacking |
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| Authors: | Jianghai Xia Yixian Xu Richard D Miller |
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| Institution: | (1) Kansas Geological Survey, The University of Kansas, 1930 Constant Avenue, Lawrence, Kansas 66047-3726, USA;(2) Open Laboratory of Engineering Geophysics, China Ministry of Land, and Resources, China University of Geosciences, Wuhan, Hubei, 430074, P.R. China |
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| 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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| Keywords: | Frequency decomposition slant stacking dispersive image dispersion curve |
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