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7. Conclusion
This study presents a regularity analysis undertaken on the airborne spectrometric natural
radioactivity measured, in three channels: K, Th and U, over the Hoggar area (Algeria). It
reveals that the investigated data exhibit fractal properties depending on the spatial
measurement location, thus can be modeled using multifractional Brownian motions. As the
spectrometric corrections do not affect these properties, the regularity analysis can be
carried out directly on the interpolated raw measurements.
The Hölder exponent maps, obtained from the Gamma Ray measurements recorded in the
three channels, show a similar local regularity. Besides, a strong correlation is derived
between the H exponent values and the faults locations. Indeed, a fault corresponds to local
minima H values, the H exponent value can then be used to identify the faults. However, it
does not allow to characterize the lithological facies.
8. Acknowledgements
This work was supported by the Algerian -French program CMEP—PHC Tassili N°09 MDU
787.
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