Abstract
We observed a new pattern of nonlinear behavior of seismicity. We studied the scaling property of the interevent time series of the seismic sequence for Puer area in China by using the methods of the local scaling property, the generalized dimension spectrum, and the correlation dimension. It is indicated that there are clear characteristic variations of local scaling property and generalized dimension spectrum prior to Puer M6.4 earthquake while there is no characteristic variation of the correlation dimension. This result suggests that the choice of suitable methods is needed for the purpose of getting valuable information about the scale invariance in application of the three methodologies. The major difference between the characteristic variation of local scaling property and the other patterns of nonlinear behavior of seismicity such as the variations of the generalized dimension spectrum and fractal dimension of seismicity before large earthquakes is in the description of scaling property: the generalized dimension spectrum and fractal dimension focus on the global description of the scaling properties, while the local scaling property emphasis the local features. Therefore, the characteristic variation of local scaling property before Puer M6.4 earthquake presents a new pattern of nonlinear behavior of seismicity.
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References
Arneodo, A., Grasseau, G., and Holschneider, M., Wavelet Transform of Multifractals, Physical Review Letters, 1988, vol. 61, pp. 2881–2884.
Auyang, S.Y., Foundations of Complex-System Theories, Cambridge University Press, 1999.
Carpinteri, A., Lacidogna, G., and Puzzi, S., From Criticality to Final Collapse: Evolution of the “b-value” from 1.5 to 1.0, Chaos, Solitons and Fractals, 2009, vol. 41, pp. 843–853.
Caruso, F., Vinciguerra, S., Latora, V., Rapisarda, A., and Malone, S., Multifractal Analysis of Mount St. Helens Seismicity as a Tool for Identifying Eruptive Activity, Fractals-Complex Geometry Patterns and Scaling in Nature and Society, 2006, vol. 14, pp. 179–186.
Chelidze, T. and Matcharashvili, T., Complexity of Seismic Process; Measuring and Applications—A Review, Tectonophysics, 2007, vol. 431, pp. 49–60.
Chhabra, A. and Jensen, R.V., Direct Determination of the f(a) Singularity Spectrum, Physical Review Letters, 1989, vol. 62, pp. 1327–1330.
Dimitriu, P.P., Scordilis, E.M., and Karacostas, V.G., Multifractal Analysis of the Arnea, Greece Seismicity with Potential Implications for Earthquake Prediction, Natural Hazards, 2000, vol. 21, pp. 277–295.
Enescu, B., Itol, K., and Struzik, Z.R., Wavelet-Based Multiscale Resolution Analysis of Real and Simulated Time-Series of Earthquakes, Geophys. J. Int., 2006, vol. 164, pp. 63–74.
Goltz, C., Fractal and Chaotic Properties of Earthquakes, Springer-Verlag, 1997.
Grassberger, P., Generalized Dimensions of Strange Attractors, Phys. Lett. A, 1983, vol. 97, pp. 227–320.
Grassberger, P. and Procaccia, J., Dimensions and Entropies of Strange Attractors from a Fluctuating Dynamics Approach, Physica D, 1984, vol. 13, pp. 34–54.
Hirabayashi, T., Ito, K., and Yoshii, T., Multifractal Analysis of Earthquakes, Pure and Applied Geophysics, 1992, vol. 138, pp. 592–610.
Jiang, H.K., Zheng, J.C., Wu, Q., Qu, Y.J., and Li, Y.L., Earlier Statistical Features of ETAS Model Parameters and Their Seismological Meanings, Chinese J. Geophys., 2007, vol. 50, pp. 1778–1786.
Kagan, Y.Y., Observational Evidence for Earthquakes as a Nonlinear Dynamic Process, Physica D, 1994, vol. 77, pp. 160–192.
Keilis-Borok, V.I., The Lithosphere of the Earth as a Nonlinear System with Implications for Earthquake Prediction, Rev. Geophys., 1990, vol. 28, pp. 9–34.
Kentz, H. and Schreiber, T., Nonlinear Time Series Analysis, Cambridge University press, 1997.
Kiyashchenko, D., Smirnova, N., Troyan, V., Saenger, E., and Vallianatos, F., Seismic Hazard Precursory, Evolution: Fractal and Multifractal Aspects, Physics and Chemistry of the Earth, 2004, vol. 29, pp. 367–378.
Lee, Y.T., Chen, C.C., Chang, Y.F., and Chiao, L.Y., Precursory Phenomena Associated with Large Avalanches in the Long-Range Connective Sandpile (LRCS) Model, Physica A, 2008, vol. 387, pp. 5263–5270.
Lei, X.L. and Satoh, T., Indicators of Critical Point, Behavior Prior to Rock Failure Inferred from Pre-Failure Damage, Tectonophysics, 2007, vol. 431, pp. 97–111.
Liu, F. and Cheng, J.Z., Local Fractal Scale Wavelet Analysis, Journal of Xi’an Jiaotong University, 1999, vol. 33, pp. 14–34.
Martin, M.T., Plastino, A.R., and Plastino, A., Tsallis-Like Information Measures and the Analysis of Complex Signals, Physica A, 2000, vol. 275, pp. 262–271.
Matcharashvili, T., Chelidze, T., and Javakhishvili, Z., Nonlinear Analysis of Magnitude and Interevent Time Interval Sequences for Earthquakes of the Caucasian Region, Nonlin. Processes in Geophys., 2000, vol. 7, pp. 9–19.
Murase, K., A Characteristic Change in Fractal Dimension Prior to the 2003 Tokachi-oki Earthquake (MJ = 8.0), Hokkaido, Northern Japan, Earth, Planets and Space, 2004, vol. 56, pp. 401–405.
Nakaya, S., Fractal Properties of Seismicity in Regions Affected by Large, Shallow Earthquakes in Western Japan: Implications for Fault Formation Processes Based on a Binary Fractal Fracture Network Model, J. Geophys. Res., 2005, vol. 110, p. B01310.
Ogata, Y., Statistical Model for Earthquake Occurrence and Residual Analysis for Point Processes, Journal of the American Statistical Association, 1988, vol. 17, pp. 97–105.
Ogata, Y., Statistical Model for Standard Seismicity and Detection of Anomalies by Residual Analysis for Point Processes, Tectonophysics, 1989, vol. 83, pp. 9–27.
Radulian, M. and Trifu, C.-I., Would It Have Been Possible to Predict the 30 August 1986 Vrancea Earthquake, Bull. Seismol. Soc. Am., 1991, vol. 81, pp. 2498–2503.
Roy, P.N.S. and Nath, S.K., Precursory Correlation Dimensions for Three Great Earthquakes, Current Science, 2007, vol. 93, pp. 1522–1529.
Roy, P.N.S. and Padhi, A., Multifractal Analysis of Earthquakes in the Southeastern Iran-Bam Region, Pure and Applied Geophysics, 2007, vol. 164, pp. 2271–2290.
Telesca, L., Lapenna, V., and Macchiato, M., Mono- and Multi-Fractal Investigation of Scaling Properties in Temporal Patterns of Seismic Sequences, Chaos, Solitons and Fractals, 2004, vol. 19, pp. 1–15.
Telesca, L., Lapenna, V., and Macchiato, M., Multifractal Fluctuations in Seismic Interspike Series, Physica A, 2005, vol. 354, pp. 629–640.
Telesca, L. and Lapenna, V., Measuring Multifractality in Seismic Sequences, Tectonophysics, 2006, vol. 423, pp. 115–123.
Xu, Z.G., Systems Science, Shanghai Scientific and Technological Education Publishing House, 2000.
Yang, F.S., Application of Wavelet Transform on Engineering Analysis, Science Press, 2003.
Zhu, L.R. and Chen, R., Fractal in Earthquakes, Seismological Press, 2000.
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Li, Q., Xu, GM. Characteristic variation of local scaling property before Puer M6.4 earthquake in China: The presence of a new pattern of nonlinear behavior of seismicity. Izv., Phys. Solid Earth 48, 155–161 (2012). https://doi.org/10.1134/S1069351312010107
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DOI: https://doi.org/10.1134/S1069351312010107