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Improving the analysis of well-logs by wavelet cross-correlation

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  • Henriques, M.V.C.
  • Leite, F.E.A.
  • Andrade, R.F.S.
  • Andrade, J.S.
  • Lucena, L.S.
  • Neto, M. Lucena

Abstract

The concept of wavelet cross-correlation is used to provide a new approach to identify similar patterns in related data sets, which largely improves the confidence of the results. The method amounts to decompose the data sets in the wavelet space so that correlations between wavelet coefficients can be analyzed in every scale. Besides the identification of the scales in which two independent measures are correlated, the method makes it possible to find patches of data sets where correlations exist simultaneously in all scales. This allows to extend the information of a small number of spots to larger regions. Well-log data sets from two neighboring oil wells are used. We compare similar measures at different probe sites, and also measurements of different physical quantities taken on the same place. Although this is a typical scenario for the application of classical geostatistical methods, it is well known that such methods erase out local differences in favor of smoother variability. In contraposition, this wavelet cross-correlation takes advantage of the fluctuations to give information about the continuity of the geological structures in space. It works even better if no filtering procedure has been applied to the original raw data.

Suggested Citation

  • Henriques, M.V.C. & Leite, F.E.A. & Andrade, R.F.S. & Andrade, J.S. & Lucena, L.S. & Neto, M. Lucena, 2015. "Improving the analysis of well-logs by wavelet cross-correlation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 417(C), pages 130-140.
  • Handle: RePEc:eee:phsmap:v:417:y:2015:i:c:p:130-140
    DOI: 10.1016/j.physa.2014.09.027
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    References listed on IDEAS

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    1. Vacha, Lukas & Barunik, Jozef, 2012. "Co-movement of energy commodities revisited: Evidence from wavelet coherence analysis," Energy Economics, Elsevier, vol. 34(1), pages 241-247.
    2. Dashtian, Hassan & Jafari, G. Reza & Sahimi, Muhammad & Masihi, Mohsen, 2011. "Scaling, multifractality, and long-range correlations in well log data of large-scale porous media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(11), pages 2096-2111.
    3. Oliveira, M.S. & Henriques, M.V.C. & Leite, F.E.A. & Corso, G. & Lucena, L.S., 2012. "Seismic denoising using curvelet analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(5), pages 2106-2110.
    4. Plerou, Vasiliki & Gopikrishnan, Parameswaran & Rosenow, Bernd & Amaral, Luis A.N. & Stanley, H.Eugene, 2000. "Econophysics: financial time series from a statistical physics point of view," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 279(1), pages 443-456.
    5. Corso, G. & Kuhn, P.S. & Lucena, L.S. & Thomé, Z.D., 2003. "Seismic ground roll time–frequency filtering using the gaussian wavelet transform," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 318(3), pages 551-561.
    6. Hansen, Alex & Lucena, Liacir S. & da Silva, Luciano R., 2011. "Spatial correlations in permeability distributions due to extreme dynamics restructuring of unconsolidated sandstone," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(4), pages 553-560.
    7. Tavares, D.M. & Lucena, L.S., 2005. "Entropy analysis of stochastic processes at finite resolution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 357(1), pages 71-78.
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