Multifractality nature and multifractal detrended fluctuation analysis of well logging data

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.