DETRENDED FLUCTUATION ANALYSIS OF THREE-DIMENSIONAL DATA: APPLICATION TO SOIL X-RAY CT SCANS

In this work, we compare three distinct schemes for detrended fluctuation analysis (DFA) of three-dimensional (3D) N x N x N data sets: (i) an N x N set of one-dimensional (1D) DFA runs for each vertical line of length N, (ii) a set of N two-dimensional (2D) DFA runs for each of the N x N planes along the vertical direction, and (iii) a single 3D DFA run. The objective of this work is two-fold: (i) to compare the performance of ID, 2D, and 3D DM methods in terms of compatibility as well as the richness of obtained results, and (ii) to demonstrate how these three complementary approaches shed new light on the complexity of the structure of the two real soil samples, through the analysis of grayscale high-resolution X-ray computed tomography scan images.

Automated summary

This work compares three distinct schemes for detrended fluctuation analysis (DFA) of three-dimensional (3D) N x N x N data sets and demonstrates how these methods shed new light on the complexity of soil sample structures through the analysis of high-resolution X-ray scan images.