Multifractal Detrended Fluctuation Analysis and Multifractality Nature of Well Logging Data

Geophysical well logging data often show a complex pattern due to multifractal condition. Using Multifractal Detrended Fluctuation Analysis(MF-DFA) on the original, shuffled and surrogated well logging data is aprocedure in finding the source of multifractality in broad probability density function of the data and their long-term correlation. 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.

کلیدواژه ها:

Self-similarity ، Multifractal detrended fluctuation analysis ، shuffled series ، surrogate series ، Hurst coefficient ، well logging