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

• Autorzy: Vallianatos F. , Nardi A. , Carluccio R. , Chiappini M.
• Języki publikacji: EN

Abstrakty

EN

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 qE = 1.67 and qτ ≈ 1.7, respectively.

Słowa kluczowe

EN

electromagnetic emission; non-extensive statistical physics; rock

• Wydawca: Instytut Geofizyki PAN ; Springer
• Czasopismo: Acta Geophysica
• Rocznik: 2012
• Tom: Vol. 60, no. 3
• Strony: 894--909
• Opis fizyczny: Bibliogr. 52 poz.

Twórcy

autor

Vallianatos F.

autor

Nardi A.

autor

Carluccio R.

autor

Chiappini M.

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

Bibliografia

• Abe, S., and N. Suzuki (2003), Law for the distance between successive earthquakes, J. Geophys. Res. 108, B2, 2113, DOI: 10.1029/2002JB002220.
• 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.
• Anastasiadis, C., D. Triantis, I. Stavrakas, F. Vallianatos (2004), Pressure Stimulated Currents (PSC) in marble samples, Ann. Geophys. 47, 1, 21-28.
• 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.
• 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.
• Burridge, R., and L. Knopoff (1967), Model and theoretical seismicity, Bull. Seismol. Soc. Am. 57, 3, 341-371.
• 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.
• Chakrabarti, B.K., and L.G. Benguigui (1997), Statistical Physics of Fracture and Breakdown in Disordered Systems, Oxford University Press, Oxford, 161 pp.
• Enomoto, Y., and H. Hashimoto (1990), Emission of charged particles from indentation fracture of rocks, Nature 346, 641-643, DOI: 10.1038/346641a0.
• 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.
• 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.
• 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.
• 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.
• 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.
• Hayakawa, M. (ed.) (1999), Electromagnetic Phenomena Related to Earthquake Prediction, TERRAPUB, Tokyo.
• Hayakawa, M., and Y. Fujinawa (eds.) (1994), Electromagnetic Phenomena Related to Earthquake Prediction, TERRAPUB, Tokyo.
• Hayakawa, M., and O.A. Molchanov (eds.) (2002), Seismo Electromagnetics: Lithosphere-Atmosphere-Ionosphere Coupling, TERRAPUB, Tokyo, 478 pp.
• Herrmann, H.J., and S. Roux (1990), Statistical Models for the Fracture of Disordered Media, North-Holland, Amsterdam.
• 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.
• 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.
• 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.
• 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.
• Rundle, J.B., D.L. Turcotte, and W. Klein (eds.) (2000), Geocomplexity and the Physics of Earthquakes, American Geophysical Union, Washington, 284 pp.
• 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.
• 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.
• 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.
• 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.
• Telesca, L. (2010a), Nonextensive analysis of seismic sequences, Physica A 389, 9, 1911-1914, DOI: 10.1016/j.physa.2010.01.012.
• Telesca, L. (2010b), A non-extensive approach in investigating the seismicity of L’Aquila area (central Italy), struck by the 6 April 2009 earthquake (ML = 5.8), Terra Nova 22, 2, 87-93, DOI: 10.1111/j.1365-3121.2009.00920.x.
• Tsallis, C. (1988), Possible generalization of Boltzmann–Gibbs statistics, J. Stat. Phys. 52, 1-2, 479-487, DOI: 10.1007/BF01016429.
• Tsallis, C. (1999), Nonextensive statistics: theoretical, experimental and computational evidences and connections, Braz. J. Phys. 29, 1, 1-35, DOI: 10.1590/S0103-97331999000100002.
• Tsallis, C. (2009), Introduction to Nonextensive Statistical Mechanics: Approaching a Complex World, Springer, New York, DOI: 10.1007/978-0-387-85359-8.
• 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.
• Tzanis, A., and F. Vallianatos (2001), A critical review of ULF electric earthquake precursors, Ann. Geofis. 44, 2, 429-460.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• Varotsos, P. (2005), The Physics of Seismic Electric Signals, TERRAPUB, Tokyo.
• 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.
• 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.