African Journal of Geography and Regional Planning

African Journal of Geography and Regional Planning ISSN 3627-8945 Vol. 7 (10), pp. 001-007, October, 2020. © International Scholars Journals

Full Length Research Paper

Multifractality nature and multifractal detrended fluctuation analysis of well logging data

Yousef Shiri^*, Behzad Tokhmechi, Zeinab Zarei and Mohammad Koneshloo

Shahrood University of Technology, School of Mining, Petroleum and Geophysics, Shahrood, Iran.

Accepted 09 April, 2020

Abstract

Geophysical well logging data often show a complex pattern due to multifractal condition. Using Multifractal Detrended Fluctuation Analysis on the original, shuffled and surrogated series is a procedure in finding the source of multifractality. Fractal analysis on bulk density, sonic transmit time, acoustic impedance and neutron porosity of two wells from two Iranian oil fields were done. Results respectively showed similar scaling behavior of the long-term correlation and the broad probability distribution in result of the depositional environment and the strong heterogeneity over the time scale and confirmed that different layers cannot be introduced with the same power law exponent.

Keywords: Well logging, Self-similarity, Multifractal detrended fluctuation analysis, Shuffled series, Surrogated series, Hurst coefficient.