In the search for ever more subtle reservoirs we often deal with hydrocarbon deposits, where the thickness of individual layers is below the seismic tuning thickness. Several methods were developed in the time and frequency domain to circumvent or go below this fundamental limitation of the seismic method. In this paper we investigate properties of the Wigner-Ville (WVD) time-frequency distribution, and especially of the cross-terms. We start with the mathematical definition of the WVD and investigate cross-term properties for two Gaussian time signals. We then examine the WVD of a wedge model and find that the cross-term shows variations even if the wedge thickness is below the tuning limit. We concentrate on the time location of the first-order minimum of the WVD cross-term which indicates the centre of the wedge even below the tuning thickness. Subsequently we apply this property for thin layer identification in a real seismic example. We conclude that tracking the location of the first-order minimum of the WVD cross-term can indicate the existence of layers below the tuning thickness in seismic data, and locate the mid-point between the top and base of the tuned layer.


Article metrics loading...

Loading full text...

Full text loading...


  1. Cohen,L.
    [1995] Time-Frequency Analysis, Prentice-Hall, New York.
    [Google Scholar]
  2. Li,Y., and X.Zheng
    [2008] Spectral decomposition using Wigner-Ville distribution with applications to carbonate reservoir characterization, The Leading Edge, 27, 1050–1057.
    [Google Scholar]
  3. Ralston,M., Rauch-Davies,M., Li-Chun,K., Hui-Ping,X., and Di-Sheng,Y.
    [2007] General method to reduce cross-term interference in the Wigner-Ville Decomposition. SEG Technical Program Expanded Abstracts 2007: 870–874.
    [Google Scholar]
  4. Partyka,G., J.Gridley, and J.Lopez
    [1999] Interpretational applications of spectral decomposition in reservoir characterization, The Leading Edge, 18, 353–360.
    [Google Scholar]
  5. Sattari,H., Gholami,A., and Siahkoohi,H.R.
    [2013] Seismic data analysis by adaptive sparse time-frequency decomposition, Geophysics, 78, V207–V217.
    [Google Scholar]
  6. Wigner,E.
    [1932] On the Quantum Correction for Thermodynamic Equilibrium. Physical Review, 40, (5): 749.
    [Google Scholar]
  7. WilliamsG., and Chadwick,A.
    [2012] Quantitative seismic analysis of a thin layer of CO2 in the Sleipner injection plume, Geophysics, 77, (6), R245–R256.
    [Google Scholar]

Data & Media loading...

This is a required field
Please enter a valid email address
Approval was a Success
Invalid data
An Error Occurred
Approval was partially successful, following selected items could not be processed due to error