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Experimental evidence of a non-extensive statistical physics behavior of electromagnetic signals emitted from rocks under stress up to fracture. Preliminary results

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Abstract

The application of mechanical stress on a rock sample can induce electromagnetic emissions. Such emissions can be detected experimentally and in principle could be used as precursors of the upcoming failure.

Using experimental observations of stress-induced electromagnetic emissions (SIEME), we apply the concepts of non-extensive statistical physics (NESP) to the time intervals between consecutive SIEME. The application of NESP is appropriate to systems such as fracture-induced effects, where non-linearity, long-range interactions and scaling are important. We find that the SIEME energy release distribution and the inter-event time distribution reflect a sub-extensive system with thermodynamic q-values of the order of q E = 1.67 and q τ ≈ 1.7, respectively.

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References

  • Abe, S., and N. Suzuki (2003), Law for the distance between successive earthquakes, J. Geophys. Res. 108,B2, 2113, DOI: 10.1029/2002JB002220.

    Article  Google Scholar 

  • Abe, S., and N. Suzuki (2005), Scale-free statistics of time interval between successive earthquakes, Physica A 350,2–4, 588–596, DOI: 10.1016/j.physa.2004.10.040.

    Article  Google Scholar 

  • Anastasiadis, C., D. Triantis, I. Stavrakas, F. Vallianatos (2004), Pressure Stimulated Currents (PSC) in marble samples, Ann. Geophys. 47,1, 21–28.

    Google Scholar 

  • Benson, P.M., B.D. Thompson, P.G. Meredith, S. Vinciguerra, and R.P. Young (2007), Imaging slow failure in triaxially deformed Etna basalt using 3D acoustic-emission location and X-ray computed tomography, Geophys. Res. Lett. 34,3, L03303, DOI: 10.1029/2006GL028721.

    Article  Google Scholar 

  • Benson, P.M., S. Vinciguerra, P.G. Meredith, and R.P. Young (2008), Laboratory simulation of volcano seismicity, Science 322,5899, 249–252, DOI: 10.1126/science.1161927.

    Article  Google Scholar 

  • Burridge, R., and L. Knopoff (1967), Model and theoretical seismicity, Bull. Seismol. Soc. Am. 57,3, 341–371.

    Google Scholar 

  • Carlson, J.M., J.S. Langer, B.E. Shaw, and C. Tang (1991), Intrinsic properties of a Burridge-Knopoff model of an earthquake fault, Phys. Rev. A 44,2, 884–897, DOI: 10.1103/PhysRevA.44.884.

    Article  Google Scholar 

  • Chakrabarti, B.K., and L.G. Benguigui (1997), Statistical Physics of Fracture and Breakdown in Disordered Systems, Oxford University Press, Oxford, 161 pp.

    Google Scholar 

  • Enomoto, Y., and H. Hashimoto (1990), Emission of charged particles from indentation fracture of rocks, Nature 346, 641–643, DOI: 10.1038/346641a0.

    Article  Google Scholar 

  • Frid, V., A. Rabinovitch, and D. Bahat (2003), Fracture induced electromagnetic radiation, J. Phys. D: Appl. Phys. 36,13, 1620–1628, DOI: 10.1088/0022-3727/36/13/330.

    Article  Google Scholar 

  • Frid, V., A. Rabinovitch, and D. Bahat (2006), Crack velocity measurement by induced electromagnetic radiation, Phys. Lett. A 356,2, 160–163, DOI: 10.1016/j.physleta.2006.03.024.

    Article  Google Scholar 

  • Frid, V., J. Goldbaum, A. Rabinovitch, and D. Bahat (2009), Electric polarization induced by mechanical loading of Solnhofen limestone, Phil. Mag. Lett. 89,7, 453–463, DOI: 10.1080/09500830903022636.

    Article  Google Scholar 

  • Frid, V., J. Goldbaum, A. Rabinovitch, and D. Bahat (2011), Time-dependent Benioff strain release diagrams, Phil. Mag. 91,12, 1693–1704, DOI: 10.1080/14786435.2010.544684.

    Article  Google Scholar 

  • Hasumi, T. (2007), Interoccurrence time statistics in the two-dimensional Burridge-Knopoff earthquake model, Phys. Rev. E 76,2, 026117, DOI: 10.1103/PhysRevE.76.026117.

    Article  Google Scholar 

  • Hayakawa, M. (ed.) (1999), Electromagnetic Phenomena Related to Earthquake Prediction, TERRAPUB, Tokyo.

    Google Scholar 

  • Hayakawa, M., and Y. Fujinawa (eds.) (1994), Electromagnetic Phenomena Related to Earthquake Prediction, TERRAPUB, Tokyo.

    Google Scholar 

  • Hayakawa, M., and O.A. Molchanov (eds.) (2002), Seismo Electromagnetics: Lithosphere-Atmosphere-Ionosphere Coupling, TERRAPUB, Tokyo, 478 pp.

    Google Scholar 

  • Herrmann, H.J., and S. Roux (1990), Statistical Models for the Fracture of Disordered Media, North-Holland, Amsterdam.

    Google Scholar 

  • Nardi, A. (2001), Emissioni elettromagnetiche in rocce sottoposte a sollecitazione meccanica. Un possibile precursore sismico?, Master thesis, University of Rome “La Sapienza” (in Italian).

  • Nardi, A., (2005), Emissioni elettromagnetiche naturali come precursori di fenomeni sismici, Ph.D. thesis, University of Rome “La Sapienza” (in Italian).

  • Nardi, A., and M. Caputo (2006), A perspective electric earthquake precursor observed in the Apennines, Boll. Geofis. Teor. Appl. 47,1–2, 3–12.

    Google Scholar 

  • Nardi, A., and M. Caputo (2009), Monitoring the mechanical stress of rocks through the electromagnetic emission produced by fracturing, Int. J. Rock Mech. Min. Sci. 46,5, 940–945, DOI: 10.1016/j.ijrmms.2009.01.005.

    Article  Google Scholar 

  • Nardi, A., M. Caputo, and C. Chiarabba (2007), Possible electromagnetic earthquake precursors in two years of ELF-VLF monitoring in the atmosphere, Boll. Geofis. Teor. Appl. 48,2, 205–212.

    Google Scholar 

  • O’Keefe, S.G., and D.V. Thiel (1995), A mechanism for the production of electromagnetic radiation during fracture of brittle materials, Phys. Earth Planet. In. 89,1–2, 127–135, DOI: 10.1016/0031-9201(94)02994-M.

    Article  Google Scholar 

  • Rundle, J.B., D.L. Turcotte, and W. Klein (eds.) (2000), Geocomplexity and the Physics of Earthquakes, American Geophysical Union, Washington, 284 pp.

    Google Scholar 

  • Slifkin, L. (1993), Seismic electric signals from displacement of charged dislocations, Tectonophysics 224,1–3, 149–152, DOI: 10.1016/0040-1951(93)90066-S.

    Article  Google Scholar 

  • Stavrakas, I., C. Anastasiadis, D. Triantis, and F. Vallianatos (2003), Piezo stimulated currents in marble samples: Precursory and concurrent-with-failure signals, Nat. Hazards Earth Syst. Sci. 3,3/4, 243–247, DOI: 10.5194/nhess-3-243-20.

    Article  Google Scholar 

  • Stavrakas, I., D. Triantis, Z. Agioutantis, S. Maurigiannakis, V. Saltas, F. Vallianatos, and M. Clarke (2004), Pressure stimulated currents in rocks and their correlation with mechanical properties, Nat. Hazards Earth Syst. Sci. 4, 563–567, DOI: 10.5194/nhess-4-563-2004.

    Article  Google Scholar 

  • Takeuchi, A., and H. Nagahama (2001), Voltage changes induced by stick-slip of granites, Geophys. Res. Lett. 28,17, 3365–3368, DOI: 10.1029/2001GL012981.

    Article  Google Scholar 

  • Telesca, L. (2010a), Nonextensive analysis of seismic sequences, Physica A 389,9, 1911–1914, DOI: 10.1016/j.physa.2010.01.012.

    Article  Google Scholar 

  • Telesca, L. (2010b), A non-extensive approach in investigating the seismicity of L’Aquila area (central Italy), struck by the 6 April 2009 earthquake (M L = 5.8), Terra Nova 22,2, 87–93, DOI: 10.1111/j.1365-3121.2009.00920.x.

    Article  Google Scholar 

  • Tsallis, C. (1988), Possible generalization of Boltzmann-Gibbs statistics, J. Stat. Phys. 52,1–2, 479–487, DOI: 10.1007/BF01016429.

    Article  Google Scholar 

  • Tsallis, C. (1999), Nonextensive statistics: theoretical, experimental and computational evidences and connections, Braz. J. Phys. 29,1, 1–35, DOI: 10.1590/S0103-97331999000100002.

    Article  Google Scholar 

  • Tsallis, C. (2009), Introduction to Nonextensive Statistical Mechanics: Approaching a Complex World, Springer, New York, DOI: 10.1007/978-0-387-85359-8.

    Google Scholar 

  • Tsallis, C. (2001), Nonextensive statistical mechanics and thermodynamics: Historical background and present status. In: S. Abe and Y. Okamoto (eds.), Nonextensive Statistical Mechanics and Its Applications, Springer, Berlin, 3–98.

    Chapter  Google Scholar 

  • Tzanis, A., and F. Vallianatos (2001), A critical review of ULF electric earthquake precursors, Ann. Geofis. 44,2, 429–460.

    Google Scholar 

  • Tzanis, A., and F. Vallianatos (2002), A physical model of Electric Earthquake Precursors due to crack propagation and the motion of charged edge dislocations. In: M. Hayakawa and O.A. Molchanov (eds.), Seismo Electromagnetics: Lithosphere-Atmosphere-Ionosphere Coupling, TERRAPUB, Tokyo, 117–130.

    Google Scholar 

  • Vallianatos, F. (2009), A non-extensive approach to risk assessment, Nat. Hazards Earth Syst. Sci. 9,1, 211–216, DOI: 10.5194/nhess-9-211-2009.

    Article  Google Scholar 

  • Vallianatos, F. (2011), A non-extensive statistical physics approach to the polarity reversals of the geomagnetic field, Physica A 390,10, 1773–1778, DOI: 10.1016/j.physa.2010.12.040.

    Article  Google Scholar 

  • Vallianatos, F., and P. Sammonds (2010), Is plate tectonics a case of non-extensive thermodynamics?, Physica A 389,21, 4989–4993, DOI: 10.1016/j.physa.2010.06.056.

    Article  Google Scholar 

  • Vallianatos, F., and P. Sammonds (2011), A non-extensive statistics of the faultpopulation at the Valles Marineris extensional province, Mars, Tectonophysics 509,1–2, 50–54, DOI: 10.1016/j.tecto.2011.06.001.

    Article  Google Scholar 

  • Vallianatos, F., and D. Triantis (2008), Scaling in Pressure Stimulated Currents related with rock fracture, Physica A 387,19–20, 4940–4946, DOI: 10.1016/j.physa.2008.03.028.

    Article  Google Scholar 

  • Vallianatos, F., and A. Tzanis (1998), Electric current generation associated with the deformation rate of a solid: Preseismic and coseismic signals, Phys. Chem. Earth 23,9–10, 933–939, DOI: 10.1016/S0079-1946(98)00122-0.

    Article  Google Scholar 

  • Vallianatos, F., and A. Tzanis (1999a), A model for the generation of precursory electric and magnetic fields associated with the deformation rate of the earthquake focus. In: M. Hayakawa (ed.), Atmospheric and Ionospheric electromagnetic phenomena associated with Earthquakes, TERRAPUB, Tokyo, 287–305.

    Google Scholar 

  • Vallianatos, F., and A. Tzanis (1999b), On possible scaling laws between electric earthquake precursors (EEP) and earthquake magnitude, Geophys. Res. Lett., 26,13, 2013–2016, DOI: 10.1029/1999GL900406.

    Article  Google Scholar 

  • Vallianatos, F., and A. Tzanis (2003), On the nature, scaling and spectral properties of pre-seismic ULF signals, Nat. Hazards Earth Syst. Sci. 3,3/4, 237–242, DOI: 10.5194/nhess-3-237-2003.

    Article  Google Scholar 

  • Vallianatos, F., D. Triantis, A. Tzanis, C. Anastasiadis, and I. Stavrakas (2004), Electric earthquake precursors: from laboratory results to field observations, Phys. Chem. Earth 29,4–9, 339–351, DOI: 10.1016/j.pce.2003.12.003.

    Google Scholar 

  • Vallianatos, F., E. Kokinou, and P. Sammonds (2011a), Non-extensive statistical physics approach to fault population distribution. A case study from the Southern Hellenic Arc (Central Crete), Acta Geophys. 59,4, 770–784, DOI: 10.2478/s11600-011-0015-3.

    Article  Google Scholar 

  • Vallianatos, F., D. Triantis, and P. Sammonds (2011b), Non-extensivity of the isothermal depolarization relaxation currents in uniaxial compressed rocks, EPL 94,6, 68008, DOI: 10.1209/0295-5075/94/68008.

    Article  Google Scholar 

  • Varotsos, P. (2005), The Physics of Seismic Electric Signals, TERRAPUB, Tokyo.

    Google Scholar 

  • Yamashita, T. (1976), On the dynamical process of fault motion in the presence of friction and inhomogeneous initial stress. Part I. Rupture propagation, J. Phys. Earth 24,4, 417–444, DOI: 10.4294/jpe1952.24.417.

    Article  Google Scholar 

  • Yoshida, S., M. Uyeshima, and M. Nakatani (1997), Electric potential changes associated with slip failure of granite: Preseismic and coseismic signals, J. Geophys. Res. 102,B7, 14883–14897, DOI: 10.1029/97JB00729.

    Article  Google Scholar 

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Authors and Affiliations

  1. Laboratory of Geophysics and Seismology, Technological Educational Institution of Crete, Chania, Crete, Greece

    Filippos Vallianatos

  2. Istituto Nazionale di Geofisica e Vulcanologia, Roma, Italy

    Andriano Nardi, Roberto Carluccio & Massimo Chiappini

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  1. Filippos Vallianatos
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  4. Massimo Chiappini
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Correspondence to Filippos Vallianatos.

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Vallianatos, F., Nardi, A., Carluccio, R. et al. Experimental evidence of a non-extensive statistical physics behavior of electromagnetic signals emitted from rocks under stress up to fracture. Preliminary results. Acta Geophys. 60, 894–909 (2012). https://doi.org/10.2478/s11600-012-0030-z

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