Evolving towards a critical point: A possible electromagnetic way in which the critical regime is reached as the rupture approaches

Nonlinear Processes in Geophysics

Volumn 10, Issue 6, 2003, Pages 511-524

  Kapiris, P G ^a   Eftaxias, K A ^a   Nomikos, K D ^b   Polygiannakis, J ^a   Dologlou, E ^a   Balasis, G T ^c   Bogris, N G ^a   Peratzakis, A S ^a   Hadjicontis, V E ^a  

^a UNIVERSITY OF ATHENS   (Greece)

^b UNIVERSITY OF WEST ATTICA   (Greece)

^c GFZ GERMAN RESEARCH CENTRE FOR GEOSCIENCES   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CRITICAL STATE; EARTHQUAKE MECHANISM; EARTHQUAKE RUPTURE; FRACTURE MECHANICS;

EID: 0346281505     PISSN: 10235809     EISSN: None     Source Type: Journal    
DOI: 10.5194/npg-10-511-2003     Document Type: Article

References (88)

1. Allegre, C., Mouel, J. L., and Provost, A.: Scaling riles in rock fracture and possible implications for Earthquake predictions, Nature, 297, 47-49, 1982.
2. Andersen, J., Sornette, D., and Leung, K.: Tricritical behaviour in rupture induced by disorder, Phys. Rev. Lett., 78, 2140-2143, 1997.
3. Bak, P., Christensen, K., Danon, L., and Scanlon, T.: Unified scaling law for Earthquakes, Phys. Rev. Lett., 88, 178 501-178 501, 2002.
4. a fluctuations in geoelectrical signals observed in a seismic area of southern Italy, Tectonophysics, 347, 253-268, 2002.
5. Bernard, P., Pinettes, P., Hadjidimitriou, P., Scordilis, E., Veis, G., and Milas, P.: From precursors to prediction: a few recent cases from Greece, Geophys. J. Int, 131, 467-477, 1997.
6. Bowman, D. and King, G.: Accelerating seismicity and stress accumulation before large Earthquakes, J. Geophys. Res. Lett., 28(21), 4039-4042, 2001.
7. Bowman, D., Quillon, G., Sammis, C., Sornette, A., and Sornette, D.: An observational test of the critical Earthquake concept, J. Geophys. Res., 103, 24 359-24 372, 1998.
8. Bufe, C. and Varnes, D.: Predictive modelling of the seismic cycle of the greater San Francisco Bay region, J. Geophys. Res., 98, 9871-9883, 1993.
9. Carrilo, L., Manosa, L., Ortin, J., Planes, A., and Vives, E.: Experimental evidence for universality of acoustic emission avalanche distributions during structural transitions, Phys. Rev. Let., 81, 1889-1892, 1998.
10. Chelidze, T.: Precolation and fracture, Phys. Earth Planet. Inter., 28, 93-101, 1982.
11. Chew, W.: Wave and fields in inhomogeneous media, IEEE Press, 1995.
12. Contoyiannis, Y. and Diakonos, F.: Criticality and intermittency in the order parameter space, Phys. Lett. A, 268, 286-292, 2000.
13. Contoyiannis, Y., Diakonos, F., Kapiris, P., Peratzakis, A., and Eftaxias, K.: Fingerprints of intermittent and critical behaviour of pending Earthquake in electromagnetic anomalies, in: EGS, Nice, April, 2002a.
14. Contoyiannis, Y., Diakonos, F., and Malakis, A.: Intermittent dynamics of critical fluctuations, Phys. Rev. Lett., 89, 35 700/1-35 700/4, 2002b.
15. Das, S. and Scholz, C.: Theory of time-dependent rupture in the Earth, J. Geophys. Res., 86, 6039-6051, 1981.
16. Diodati, P., Marchesoni, F., and Piazza, S.: Acoustic emission from volcanic rocks: An example of self-organized criticality, Phys. Rev. Let., 67, 2239-2241, 1991.
17. Dodge, A., Beroza, C., and Ellswroth, L.: Evolution of the 1992 landers, california, foreshock sequence and its implications for Earthquake nucleation, J. Geophys. Res., 100, 9865-9880, 1995.
18. Eftaxias, K., Kopanas, J., Bogris, N., Kapiris, P., Antonopoulos, G., and Varotsos, P.: Detection of electromagnetic Earthquake precursory signals in Greece, Proc. Japan Acad., 76(B), 45-50, 2000.
19. Eftaxias, K., Kapiris, P., Polygiannakis, J., Bogris, N., Kopanas, J., Antonopoulos, G., Peratzakis, A., and Hadjicontis, V.: Signatures of pending Earthquake from electromagnetic anomalies, Geophys. Res. Lett., 28, 3321-3324, 2001a.
20. Eftaxias, K., Kapiris, P., Polygiannakis, Y., Hadjicontis, V., Chelidze, Z., Zilpimiani, D., and Chelidze, T.: Seismogenic radioemission as a signature of the Earthquake preparation process, Journal of the Georgian Geophysical Society, 6, 3-16, 2001b.
21. Eftaxias, K., Kapiris, P., Dologlou, E., Kopanas, J., Bogris, N., Antonopoulos, G., Peratzakis, A., and Hadjicontis, V.: EM anomalies before the Kozani Earthquake: A study of their behaviour through laboratory experiments, Geophys. Res. Lett., 29, 69/1-69/4, 2002a.
22. Eftaxias, K., Kapiris, P., Polygiannakis, J., Peratzakis, A., Kopanas, J., Antonopoulos, G., and Rigas, D.: Experience of short term Earthquake precursors with VLF-VHF electromagnetic emissions, Natural Hazards and Earth System Sciences, in press, 2002b.
23. Fujinawa, Y. and Takahashi, K.: Anomalous VLF subsurface electric changes preceding earthquakes, in: Electromagnetic Phenomena Related to Earthquake Prediction, edited by Hayakawa, M. and Fujinawa, Y., pp. 131-148, Terrapub, Tokyo, 1994.
24. Fujinawa, Y., Takahashi, K., Matsumoto, T., and Kawakami, N.: Experiments to locate sources of Earthquakes-related VLF-electromagnetic signals, Proc. Japan. Acad., 73(B), 33-38, 1997.
25. Gershenzon, N. and Bambakidis, G.: Modelling of seismoelectromagnetic phenomena, Russian, 97, 4561-4566, 2000.
26. Gershenzon, N., Gokhberge, M., Karakin, A., Petviashvili, N., and Rykunov, A.: Modeling the connection between Earthquake preparation processe and crustal electromagnetic emission, Physics of Earth and Planetary Interiors, 57, 129-138, 1989.
27. Gotoh, K., Hayakawa, M., and Smirnova, N.: Fractal analysis of the ULF geomagnetic data obtained at Izu Peninsula, Japan in relation to nearby Earthquake swarm of June-August 2000, Natural Hazard and Earth System Sci., in press, 2003.
28. Gross, S., Fineberg, J., Marder, M., McCormick, and Swinney, H.: Acoustic emissions from rapidly moving cracks, Phys. Rev. Let., 71, 3162-3165, 1993.
29. Guarino, A., Garcimartin, A., and Ciliberto, S.: An experimental test of the critical behaviour of fracture precursors, Eur. Phys. J. B, 6, 13-24, 1998.
30. Guarino, A., Ciliberto, S., Garcimartin, A., Zei, M., and Scorretti, R.: Failure time and critical behaviour of fracture precursors in heterogeneous materials, Eur. Phys. J. B, 26, 141-151, 2002.
31. Gueguen, Y. and Palciauskas, V.: Introduction to the physics of rocks, Princeton University Press, 1994.
32. Hayakawa, M., Fujinawa, Y., Evison, F. F., Shapiro, V., Varotsos, P., Fraser-Smith, A., Molchanov, O., Pokhotelov, O., Enomoto, Y., and Schloessin, H.: What is the future direction of investigation on electromagnetic phenomena related to Earthquake prediction?, in: Electromagnetic phenomena related to Earthquake prediction, edited by Hayakawa, M. and Fujinawa, Y., 667-677, Terrapub, Tokyo, 1994.
33. Hayakawa, M., Ito, T., and Smirnova, N.: Fractal analysis of ULF geomagnetic data associated with the Guam earthquake on August 8, 1993, Geophys, Res. Lett., 26, 2797-2800, 1999.
34. Hayakawa, M., Itoh, T., Hattori, K., and Yumoto, K.: ULF electromagnetic precursors for an Earthquake at Biak, Indonesia on February 17, 1996, Geophys, Res. Lett., 27(10), 1531-1534, 2000a.
35. Hayakawa, M., Kopytenko, Y., Smirnova, N., Troyan, V., and Peterson, T.: Monitoring ULF magnetic disturbances and schemes for recognizing Earthquake precursors, Phys. Chem. Earth (A), 25, 263-269, 2000b.
36. Herrmann, H. and Roux, S.: Statistical models for fracture of disordered media, Amsterdam, Elsevier, 1990.
37. Jaggard, D.: On fractal electrodynamics, in: Recent advances in Electromagnetic Theory, edited by Kritikos, H. and Jaggard, D., pp. 183-224, Springer-Verlag, 1990.
38. Kapiris, P., Polygiannakis, J., Nomicos, K., and Eftaxias, K.: VHF-electromagnetic evidence of the underlying pre-seismic critical stage, Earth Planets Space, 54, 1237-1246, 2002.
39. Kontoes, C., Elias, P., Sykioti, O., Briole, P., Remy, D., Sachpazi, M., Veis, G., and Kotsis, I.: Displacement field and fault model for the September 7, 1999 Athens Earthquake inferred from ERS2 satellite radar interferometry, Geophys. Res. Lett., 27(24), 3989-3992, 2000.
40. Kossobokov, V., Maeda, K., and Uyeda, S.: Precursory of seismicity in advance of the Kobe, 1995, M = 7.2 Earthquake, Pure and Applied Geophysics, 155, 409-423, 1999.
41. Lamaignere, L., Carmona, F., and Sornette, D.: Experimental realization of critical thermal fuses rupture, Phys. Rev. Lett., 77, 2738-2741, 1996.
42. Leckie, F. and Hayhurst, D.: Constitutive equations for creep rupture, Acta Metall., 25, 1059-1070, 1977.
43. Lesne, A.: Methodes de renormalisation, Paris, Eyrolles, 1996.
44. Liu, J., Chen, Y., Pulinets, S., Tsai, Y., and Chuo, Y.: Seismoionospheric signatures prior to M ≥ 6.0 Taiwan Earthquakes, Geophys. Res. Lett., 27, 3113-3116, 2000.
45. Main, I.: Statistical physics seismogenesis and seismic hazard, Rev. Geophys., 34, 433-462, 1996.
46. Mansurov, A.: Prognoz zemletriasenii, Dushanbe-Moscow, 1983.
47. Mavromatou, C. and Hadjicontis, V.: Laboratory investigation of the electric signals preceding the fracture of crystalline insulators, in: Earthquake thermodynamics and phase transformations in the Earth's interior, edited by Teisseyre, R. and Majewski, E., pp. 501-517, Academic Press, 2001.
48. Meredith, P., Main, I., and Jones, C.: Temporal variations in seismicity during quasi-static and dynamic rock failure, Tectonophysics, 175, 249-268, 1990.
49. Meyer, B., Armijo, R., Massonet, D., Chabalier, J. B. D., Delacourt, C., Ruegg, J. C., Achache, J., and Papanastassiou, D.: Results from combining tectonic observations and SAR interferometry for the 1995 Grevena Earthquake: A summary, J. Geodynamics., 26(2-4), 255-259, 1998.
50. Modinos, A., Stefanou, N., Psarobas, I., and Yannopapas, V.: On wave propagation in inhomogeneous systems, Physica B, 296, 167-173, 2001.
51. Molchanov, O. and Hayakawa, M.: On the generation mechanism of ULF seismogenic electromagnetic emission, Phys. Earth Planet, 105, 201-210, 1998.
52. Nicolis, J. S.: Chaos and information processing, World Scientific, 1991.
53. Nomikos, K. and Vallianatos, F.: Electromagnetic variations associated with the seismicity of the frontal Hellenic arc, Geologica Carpathica, 49, 57-60, 1998.
54. Ohnaka, M.: A physical scaling relation between the size of an Earthquake and its nucleation zone size, Pure and Applied Geophys., 157, 2259-2282, 2000.
55. Ohnaka, M. and Mogi, K.: Frequency characteristics of acoustic emission in rocks under uniaxial compression and its relation to the fracturing process to failure, J. Geophys. Res., 87, 3873-3884, 1982.
56. Parrot, M.: Statistical studies with satellite observations of seismogenic effects, in: Atmospheric and ionospheric electromagnetic phenomena associated with Earthquakes, edited by Hayakawa, M., pp. 685-695, Terrapub, Tokyo, 1999.
57. Percival, D.: On estimation of the wavelet variance, Biometrika, 82, 619-631, 1995.
58. Perkovic, O., Dahmen, K., and Sethna, J.: Disorder-induced critical phenomena in hysteresis: Numerical scaling in three and higher dimensions, Phys. Rev. B, 59, 6106-6119, 1999.
59. Petri, A., Paparo, G., Vespignani, A., Alippi, A., and Constantini, M.: Experimental evidence for critical dynamics in microfracturing processes, Phys. Rev. Let, 73, 3423-3426, 1994.
60. Pilipenco, V., Shalimov, S., Uyeda, S., and Tanaka, H.: Possible machanism of the over-horizon reception of FM radio waves during Earthquake preparation period, Proc. Japan Acad., 77, 125-130, 2001.
61. Puente, C., Romeu, J., and Cardama, A.: Fractal-shaped antennas, in: Frontiers in electromagnetics, edited by Werner, D. and Mittra, R., pp. 785, IEEE Press, 1999.
62. Reches, Z. and Lockner, D.: Nucleation and growth of faults in brittle rocks, J. Geophys. Res., 99, 18 159-18 173, 1994.
63. Saleur, H., Sammis, C., and Sornette, D.: Discrete scale invariance, complex fractal dimensions, and log-periodic fluctuations in seismicity, J. Geophys. Res., 101, 17 661-17 667, 1996a.
64. Saleur, H., Sammis, C., and Sornette, D.: Renormalization group theory of Earthquakes, Nonlin. Proc. Geophys., 3, 102-109, 1996b.
65. Sammis, C. and Smith, S.: Seismic cycles and the evolution of stress correlation in cellular automaton models of finite fault networks, Pure Appl. Geophys., 155, 307-334, 1999.
66. Sarlis, N., Lazaridou, M., Kapiris, P., and Varotsos, P.: Numerical model of the selectivity effect and the Δ V / L criterion, Geophys. Res. Lett., 23, 1441-1444, 1999.
67. Schmittbuhl, J., Schmitt, F., and Scholz, C.: Scaling invariance of crack surfaces, J. Geophys. Res., 100, 5953-5973, 1995.
68. Smirnova, N., Hayakawa, M., Gotoh, K., and Volobuev, D.: Scaling characteristics of ulf geomagnetic field at Guam seismo active area and their dynamics in relation to the Earthquake, Natural Hazard Earth System Sci., 1, 119-126, 2001.
69. Sornette, A. and Sornette, D.: Earthquake rupture as a critical point: Consequences for telluric precursors, Tectonophysics, 179, 327-334, 1990.
70. Sornette, D.: Critical Phenomena in Natural Sciences, Springer, 2000.
71. Sornette, D. and Sammis, C.: Complex critical exponents from renormalization group theory of Earthquakes: Implications for Earthquake predictions, J. Phys. I., 5, 607-619, 1995.
72. Sorokin, V. and Chmyrev, V.: The physical model of electromagnetic and plasma of the ionosphere on the pre-Earthquake processes, in: Atmospheric and ionospheric electromagnetic phenomena associated with Earthquakes, edited by Hayakawa, M., pp. 819-828, Terrapub, Tokyo, 1999.
73. Surkov, V., Uyeda, S., Tanaka, H., and Hayakawa, M.: Fractal properties of medium and seismoelectric phenomena, J. Geodynamics, 33, 477-487, 2002.
74. Telesca, L. and Lapenna, V.: A new approach to investigate the correlation between geoelectrical time fluctuations and Earthquakes in a seismic area of southern Italy, Geophys. Res. Lett., 28, 4375-4378, 2001.
75. Torrence, C. and Compo, P.: A practical guide to wavelet analysis, Bull. Amer. Meteor. Soc., 79, 61-78, 1998.
76. Turcotte, D.: Fractals and chaos in geology and geophysics, Cambridge University Press, 1992.
77. Uyeda, S.: Introduction to the VAN method of Earthquake prediction, in: A critical review of VAN-Earthquake Prediction from Seismic Electric Signals, edited by Lighthill, S. J., pp. 3-28. World Scientific Publishing Co., Singapore, 1996.
78. Vallianatos, F. and Nomikos, K.: Seismogenic radioemissions as Earthquake precursors in Greece, Phys. Chem. Earth, 23, 953-957, 1998.
79. Vanneste, C. and Sornette, D.: Dynamics of rupture in thermal fuse models, J. Phys. I France, 2, 1621-1644, 1992.
80. Varotsos, P., Lazaridou, M., Eftaxias, K., Antonopoulos, G., Makris, J., and Kopanas, J.: Short-term Earthquake prediction in Greece by seismic electric signals, in: A Critical Review of VAN: Earthquake prediction from Seismic Electric Signals, edited by Ligthhill, S. J., pp. 29-76, World Scientific Publishing Co., Singapore, 1996.
81. Varotsos, P., Sarlis, N., Lazaridou, M., and Kapiris, P.: Transmission of stress induced electric signals in dielectric media, J. App. Phys., 83, 60-70, 1998.
82. Varotsos, P., Sarlis, N., and Skordas, E.: Long-range correlations in the electric signals that precede rupture, Phys. Rev. E, 66, 011 902 1-7, 2002.
83. Werner, D.: An overview of fractal electrodynamics research, Proc. of the 11th Annual Review of Progress in Applied Computational Electromagnetics (ACES), II, 964-969, 1995.
84. Yamada, I., Masuda, K., and Mizutani, H.: Electromagnetic and acoustic emission associated with rock fracture, Physics of the Earth and Planetary Interiors, 57, 157-168, 1989.
85. Yannopapas, V., Modinos, A., and Stefanou, N.: Scattering and absorption of light by periodic and nearly periodic metallodielectric structures, Optical and Quantum Electronics, 34, 227-234, 2002.
86. Yariv, A., Xu, Y., Lee, R., and Scherer, A.: Coupled-resonator optical waveguide: a proposal and analysis, Optics Letters, 24, 711-713, 1999.
87. Zoller, G. and Hainzl, S.: A systematic spatiotemporal test of the critical point hypothesis for large Earthquakes, Geophys. Res. Lett., 29, 53/1-53/4, 2002.
88. Zoller, G., Hainzl, S., and Kurths, J.: Observations of growing correlation length as an indicator for critical point behaviour prior to large Earthquakes, J. Geophys. Res., 106, 2167-2175, 2001.