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Self-affine and ARX-models zonation of well logging data


  • Shiri, Yousef
  • Tokhmechi, Behzad
  • Zarei, Zeinab
  • Koneshloo, Mohammad


Zonation of time series into models which their parameters are piecewise constant are important and well-studied problems. Geophysical well logging data often show a complex pattern due to their multifractal nature. In a multifractal system, any pieces of it are established by a distinct exponent that can characterize them. This feature has the capability to cluster them. Self-affine zonation by Auto Regressive model with exogenous inputs (ARX) is a new approach which places well logging segments in the clusters which are more self-affine against the other clusters. This approach was performed and compared with a conventional ARX zonation in the well logging data of three different oilfields in southern parts of Iran. The results showed a good accuracy for detecting homogeneous lithological segments and led to a precise interpretation process to update the reservoir architecture.

Suggested Citation

  • Shiri, Yousef & Tokhmechi, Behzad & Zarei, Zeinab & Koneshloo, Mohammad, 2012. "Self-affine and ARX-models zonation of well logging data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(21), pages 5208-5214.
  • Handle: RePEc:eee:phsmap:v:391:y:2012:i:21:p:5208-5214
    DOI: 10.1016/j.physa.2012.05.025

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    References listed on IDEAS

    1. Moktadir, Z. & Kraft, M. & Wensink, H., 2008. "Multifractal properties of Pyrex and silicon surfaces blasted with sharp particles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(8), pages 2083-2090.
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