NHESS Natural Hazards and Earth System Sciences NHESS Nat. Hazards Earth Syst. Sci. 1684-9981 Copernicus Publications Göttingen, Germany 10.5194/nhess-7-549-2007 A statistical analysis of electric self-potential time series associated to two 1993 earthquakes in Mexico Flores-Márquez L. 1 2 Márquez-Cruz J. 1 Ramírez-Rojas A. 2 Gálvez-Coyt G. 3 Angulo-Brown F. 4 Instituto de Geofísica, UNAM, Circuito Exterior S/N, Cd. Universitaria, 04510 México D.F., México Área de Física de Procesos Irreversibles, Universidad Autónoma Metropolitana Azcapotzalco, Avenida San Pablo 180 Colonia Reynosa, Azcapotzalco, 02200, México D.F., México Departamento de Matemáticas, Unidad Profesional Interdisciplinaria de Biotecnología del Instituto Politécnico Nacional, Av. Acueducto S/N, Col. Barrio La Laguna Ticomán, C.P. 07340, México D.F., México Departamento de Fisica, Escuela Superior de Fisica y Matemáticas, Instituto Politécnico Nacional, Edif. 9, U.P. Zacatenco, 07738, México D.F., México 28 09 2007 7 5 549 556 Copyright: © 2007 L. Flores-Márquez et al. 2007 This work is licensed under the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Generic License. To view a copy of this licence, visit https://creativecommons.org/licenses/by-nc-sa/2.5/ This article is available from https://nhess.copernicus.org/articles/7/549/2007/nhess-7-549-2007.html The full text article is available as a PDF file from https://nhess.copernicus.org/articles/7/549/2007/nhess-7-549-2007.pdf

Recent studies related with earthquake prediction involve statistical studies of the ground electric self-potential behavior. Published results about the complexity of this kind of processes encourage us to study the statistical behavior of the ground electric self-potential recorded in Guerrero state, Mexico. This region is characterized by high seismicity. The electric self-potential variations were recorded in the Acapulco station directly from the ground. The sampling period was four seconds and the data were stored from March to December of 1993. Two significant earthquakes (EQs) occurred near this station, 15 May and 24 October whose magnitudes were Mw=6.0 and Mw=6.6 respectively. A preliminary processing was carried out consisting of a moving average of the original time series in order to filter the very high frequencies and to complete short lacks of data and outliers. Then, a visual inspection of the complete filtered signal was performed to search some seismic electric signals (SES), which were ambiguously depicted. Subsequently, a detrending of µ=0 was applied with the windows of 3.3, 6.6 and 10 h. Later, the analysis of the spectral exponent β was made, showing changes during the total period examined, and the most evident changes occurred during the preparation mechanism of the Mw=6.6 EQ. Fifteen days before the 24 October EQ, a Brownian-noise like behavior was displayed (β≈2), having a duration of about two days. In addition a Higuchi fractal method and wavelet analysis were made confirming the presence of the β-anomaly.

 References Gershenzon, N. I., Gokhberg, M. B., and Yunga, S. L.: On the electromagnetic field of an earthquake focus, Phys. Earth Planet. Inter., 77, 13–19, 1993. Gotoh, K., Hayakawa, M., and Smirnova, N.: Fractal analysis of the ULF geomagnetic data obtained at Izu Peninsula, Japan in relation to the nearby earthquake swarm of June–August 2000, Nat. Hazards Earth. Syst. Sci., 3, 229–236, 2003. Goswani, J. C. and Chan, A. K., Fundamentals of wavelets: theory, algorithms, and applications, John Wiley, USA, 306~pp., 1999. Haartsen, M. W. and Pride, S. R.: Electroseismic waves from point sources in layered media, J. Geophys. Res., 102, 24 745–24 769, 1997. Hayakawa, M., Ito, T., and Smirnova, N.: Fractal analysis of ULF geomagnetic data associated with the Guam earthquake on 8 August 1993, Geophys Res. Lett., 26, 2797–2800, 1999. Hayakawa, M. and Ito, T.: ULF electromagnetic precursors for an earthquake at Biak, Indonesia on 17 February 1996, Geophys Res. Lett., 27, 1531–1534, 2000. Higuchi, T.: Approach to an irregular time series on basis of the fractal theory, Physica D., 31, 277–283, 1988. Higuchi, T.: Relationship between the fractal dimension and the power law index for a time series: a numerical investigation, Physica D., 46, 254–264, 1990. Honkura, Y.: Electric and magnetic approach to earthquake prediction, in: Current Research in Earthquake Prediction I, edited by: Rikitake, T., Center Academic Publications Japan, D. Reidel Publishing Company, 301–383, 1981. Honkura, Y., Isikara, A. M., Oshiman, N., Ito, A., Üçer, B., Baris, S., Tunçer, M. K., Matsushima, M., Pektas, R., Çelik, C., Tank, S. B., Takahashi, F., Nakanishi, M., Yoshimura, R., Ikeda, Y., and Komut, T.: Preliminary results of multidisciplinary observations before, during and after the Kocaeli (Izmit) earthquake in the western part of the North Anatolian Fault Zone, Earth Planets Space, 52, 293–298, 2000. Honkura Y., Matsushima, M., Oshiman, N., Tunçer, M. K., Baris, S., Ito, A., Lio, Y., and Isikara, A. M.: Small electric and magnetic signals observed before the arrival of seismic wave, Earth Planets Space, E-Letter, 54, e9–e12, 2002. Ishido, T. and Mizutani, H.: Experimental and theoretical basis of electrokinetic phenomena in rock-water systems and its application to geophysics, J. Geophys. Res., 86, 1763–1775, 1981. Iyemori, T., Kamei, T., Tanaka, Y., Takeda, M., Hashimoto, T., Araki, T., Okamoto, T., Watanabe, K., Sumitomo, N., and Oshiman, N.: Co-seismic geomagnetic variations observed at the 1995 Hyogoken-nanbu earthquake, J. Geomag. Geoelectr., 48, 1059–1070, 1996. Kapiris, P. G., Eftaxias, K. A., and Nomikos, K.: Evolving towards a critical point: A possible electromagnetic way in which the critical regime is reached as the rupture approaches, Nonlin. Processes Geophys., 10, 511–524, 2003. Kapiris, P. G., Eftaxias, K. A., and Chelidze, T. L.: Electromagnetic signature of prefracture critically in heterogeneous media, Phys. Rev. Lett., 92, 065702, https://doi.org/10.1103/PhysRevLett.92.065702, 2004. Koening, D. M.: Control and Analysis of noisy processes, Englewood Cliffs, New Jersey, p 12, 1991. Malamud, B. D. and Turcotte D. L.: Self-Affine Time Series: I Generation and Analyses, Sixth Workshop on Non-Linear Dynamics and Earthquake Prediction, H4.SMR/1330-22, 2001. Matsushima, M., Honkura, Y., Oshiman, N., Baris, S., Tunçer, M. K., Tank, S. B., Çelik, C., Takahashi, F., Nakanishi, M., Yoshimura, R., Pektas, R., Komut, T., Tolak, E., Ito, A., Iio, Y., and Isikara, A. M.: Seimo-elecromagnetic effect associated with the Izmit earthquake and its aftershocks, Bull. Seismol. Soc. Am., 92, 350–360, 2002. Mizutani, H., Ishido, T., Yokokura, T., and Ohnishi, S.: Electrokinetic phenomena associated with earthquakes, Geophys. Res. Lett., 3, 365–368, 1976. Mogi, T., Tanaka, Y., Widarto, D. S., Arsadi, E. M., Puspito, N. T., Nagao, T., Kanda, W., and Uyeda, S.: Geoelectric potential difference monitoring in southern Sumatra, Indonesia – Co-seismic change, Earth Planets Space, 52, 245–252, 2000. Nagao, T., Orihara, Y., Yamaguchi, T., Takahashi, I., Hattori, K., Noda, Y., Sayanagi, K., and Uyeda, S.: Co-seismic geoelectric potential changes observed in Japan, Geophys. Res. Lett., 27, 1535–1538, 2000. Nikolopoulos, S., Kapiris, P., Karamanos, K., and Eftaxias, K.: A unified approach of catastrophic events, Nat. Hazards Earth Syst. Sci., 4, 615–631, 2004. Ramírez-Rojas, A., Pavía-Miller, C. G., and Angulo-Brown, F.: Statistical behavior of the spectral exponent and the correlation time of electric self-potential time series associated to the Ms=7.4 September 14, 1995 earthquake in Mexico, Phys. Chem. Earth, 29, 4–9, 305–312, 2004a. Ramírez-Rojas, A., Muñoz-Diosdado A. Pavía-Miller, C. G., and Angulo-Brown, F.: Spectral and multifractal study of electroseismic time series associated to the Mw=6.5 earthquake of 24 October 1993 in Mexico, Nat. Hazards Earth Syst. Sci., 4, 703–709, 2004b. Resnikoff, H. L. and Wells, R. O.: Wavelet Analysis the escalable structure of information, Springer-Verlag, New York, USA, 435~pp., 1998. Sasai, Y.: Application of the elasticity theory of dislocation to tectonomagnetic modeling, Bull. Earthq. Res. Inst., 55, 387–447, 1980. Smirnova, N., Hayakawa, M., Gotoh, K., and Volobuev, D.: Scaling characteristics of ULF geomagnetic field at the GUAM seismoactive area and their dymanics in relation to the eathquake, Nat. Hazards Earth Syst. Sci., 1, 119–126, 2001. Stacey, F. D. and Johnston, M. J. S.: Theory of the piezo-magnetic effect in titanomagentite-bearing rocks, Pure Appl. Geophys., 97, 146–155, 1972. Telesca, L., Cuomo, V., Lapenna, V., and Macchiato, M.: 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. Varotsos, P. and Alexopoulos, K.: Physical properties of the variations of the electric field of the Earth preceding earthquakes, I. Tectonophysics (110), Elsevier Science Publishers, 1984a. Varotsos, P. and Alexopoulos, K.: Physical properties of the variations of the electric field of the Earth preceding earthquakes, II. Tectonophysics (110), Elsevier Science Publishers, 1984b. Varotsos, P. and Lazaridou, M. Latest aspects of the earthquake prediction in Greece base don seismicelectric signals, Tectonophysics, 188, 321–347, 1991. Varotsos, P. and Sarlis, M.: A review of the recent VAN efforts: the explanation of the SES physical properties, in: Seismo Electromagnetics: Lithosphere-Atmosphere-Ionosphere Coupling, edited by: Hayakawa, M. and Mochanov, O. A., Terrapub Pub. Tokio, 131–140, 2002. Varotsos, P., Sarlis, N., Skordas, E., and Lazaridou, M.: Additional evidence on some relationship between Seismic Electric Signals (SES) and earthquake focal mechanism, Tectonophysics, Elsevier Science Publishers, 412, 279–288, 2006. Yamada, I. and H. Murakami, Self-potential variations associated with quarry blasts, Zisin, 35, 393–400, 1982 (in Japanese with English abstract). Yépez, E., Angulo-Brown, F., Peralta, J. A., Pavía-Miller, C. G., and González-Santos, G.: Electric fields patterns as seismic precursors, Geophys. Res. Lett. 22, 3087–3090. 1995.