2012
DOI: 10.1190/geo2011-0210.1
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Constrained least-squares spectral analysis: Application to seismic data

Abstract: An inversion-based algorithm for computing the time-frequency analysis of reflection seismograms using constrained least-squares spectral analysis is formulated and applied to modeled seismic waveforms and real seismic data. The Fourier series coefficients are computed as a function of time directly by inverting a basis of truncated sinusoidal kernels for a moving time window. The method resulted in spectra that have reduced window smearing for a given window length relative to the discrete Fourier transform i… Show more

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Cited by 81 publications
(23 citation statements)
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“…Changes of the thickness of the thin reservoir and variability of the stratigraphic interface characteristics and filling of pore fluid particularly the gas reservoirs all may generate corresponding response in different frequency volumes. Some frequency volumes within particular frequency bands have priority to highlight and maximize geophysical responses (Puryear et al, 2012). Choosing the right time-frequency analysis method is critical to achieve instantaneous spectral analysis of the seismic signals.…”
Section: Instantaneous Spectral Analysis Based On Cwtmentioning
confidence: 99%
“…Changes of the thickness of the thin reservoir and variability of the stratigraphic interface characteristics and filling of pore fluid particularly the gas reservoirs all may generate corresponding response in different frequency volumes. Some frequency volumes within particular frequency bands have priority to highlight and maximize geophysical responses (Puryear et al, 2012). Choosing the right time-frequency analysis method is critical to achieve instantaneous spectral analysis of the seismic signals.…”
Section: Instantaneous Spectral Analysis Based On Cwtmentioning
confidence: 99%
“…Information from high-resolution spectral decomposition, (Puryear et al, 2012) of the seismic data is also used during the inversion process. Thin beds below tuning thickness can be imaged by inverting the frequency spectra for layer thickness using complex spectral analysis.…”
Section: Sparse-layer Inversion Using Basis Pursuit Decompositionmentioning
confidence: 99%
“…To provide layer information finer than conventional resolution, a constrained least-squares spectral analysis (CLSSA) was used to spectrally decompose the conditioned seismic (Puryear et al, 2012) and applied as a constraint to sparse layer inversion.…”
Section: Figure 1 the Above Images Show A Vertical Section Comparing mentioning
confidence: 99%