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A non extensive view of electrical resistivity spatial distribution estimated using inverted Transient Electromagnetic responses in a karstified formation (Keritis basin, Crete, Greece)

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  • Vallianatos, Filippos

Abstract

Karstified geological structures are inherently complex with long-range spatial correlations in their physical properties. In the present study, the pseudo 3D electrical resistivity structure obtained after a Transient Electromagnetic Method (TEM) survey in the karstified Keritis Basin (Western Crete, Greece), analyzed in view of non-extensive statistical physics. Our results present that the electrical resistivity spatial pattern estimated after a layered TEM response inversion, follow a q-exponential distributions, a strong evidence of a multi-scaled hierarchical structure. The essential goal of this paper is to present in a real geological complex formation that the resistivity pattern obtained from 1D TEM inversion presents a spatial distribution, which described by non extensive statistical physics.

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  • Vallianatos, Filippos, 2018. "A non extensive view of electrical resistivity spatial distribution estimated using inverted Transient Electromagnetic responses in a karstified formation (Keritis basin, Crete, Greece)," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 171-178.
    • Handle: RePEc:eee:phsmap:v:505:y:2018:i:c:p:171-178
    DOI: 10.1016/j.physa.2018.03.029
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    1. Potirakis, S.M. & Minadakis, G. & Eftaxias, K., 2012. "Analysis of electromagnetic pre-seismic emissions using Fisher information and Tsallis entropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(1), pages 300-306.
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    4. Vallianatos, Filippos & Sammonds, Peter, 2010. "Is plate tectonics a case of non-extensive thermodynamics?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(21), pages 4989-4993.
    5. Vallianatos, Filippos, 2011. "A non-extensive statistical physics approach to the polarity reversals of the geomagnetic field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(10), pages 1773-1778.
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