A New Regularity-based Algorithm for Analyzing Algerian Airborne Spectrometric Measurements

Here, we suggest a new algorithm to study the local fractal properties of airborne spectrometric data considered as 2D-mBm paths. This algorithm is first validated on synthetic two-dimensional multifractional Brownian motion (2D-mBm) paths, and then implemented on natural Gamma rays measurements recorded in Hoggar (Algeria). The regularity (Hölder exponent) maps obtained from the different channels (K, Th and U) show a strong correlation. Besides, these maps allow depicting the location of some faults affecting the studied area, especially the main 4°50’ fault. Our findings show that the Hölder exponent can then be used as a tool for the geological characterization.