Mathematical Geosciences

, Volume 45, Issue 4, pp 471–486 | Cite as

Facies Recognition Using Multifractal Hurst Analysis: Applications to Well-Log Data

  • Eliseo Hernandez-Martinez
  • Teresa Perez-Muñoz
  • Jorge X. Velasco-Hernandez
  • Armando Altamira-Areyan
  • Luis Velasquillo-Martinez


Well-log (radioactivity, density and resistivity) analysis constitutes a standard approach for inferring lithology from wells. However, due to inherent complexity of the signals (such as highly heterogeneous deep-water sedimentary sequences) lithology recognition is not straightforward. We used a rescaled range analysis, calibrated with cores, to recognize lithological patterns from signal recorded along wireline logs. The detected intervals coincide with zones of visual electro-facies associations proposed by geologist well-log interpreters. In addition, we propose a rescaled range multifractal analysis to identify ranges of well-log signal complexities, which could be related to sedimentary process variations at specific stratigraphic order cycles.


Well-log data Electro-facies associations R/S analysis Multifractal analysis Deep-water sequences Cyclostratigraphy 



The work was supported by the Mexican Petroleum Institute (IMP) and Y.00114 Sener-Conacyt Project. We are particularly grateful to Honorio Ramirez and Miguel Angel Alarcon for fruitful discussions.


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Copyright information

© International Association for Mathematical Geosciences 2013

Authors and Affiliations

  • Eliseo Hernandez-Martinez
    • 1
  • Teresa Perez-Muñoz
    • 1
  • Jorge X. Velasco-Hernandez
    • 1
  • Armando Altamira-Areyan
    • 2
  • Luis Velasquillo-Martinez
    • 2
  1. 1.Programa Estratégico de Matemáticas Aplicadas y ComputaciónInstituto Mexicano del PetróleoMexicoMexico
  2. 2.Programa de Geología y ExploraciónInstituto Mexicano del PetróleoMexicoMexico

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