Multifractal fluctuations in earthquake-related geoelectrical signals

Multifractal fluctuations in the time dynamics of geoelectrical data, recorded in a seismic area of southern Italy, have been analysed. We find that the multifractality of the signal depends mostly on the different long-range properties for small and large fluctuations. Furthermore, we quantitatively characterized the multifractality of the geoelectrical time series, on the basis of the characteristic parameters derived from the multifractal spectrum (maximum α0, asymmetry B and width W) (Shimizu Y, Thurner S and Ehrenberger K 2002 Fractals 10 103). We then analysed the time evolution of the multifractal parameters and we found that the multifractal degree of the signal, revealed by the variation of the width of the multifractal spectrum, is enhanced in association with the occurrence of the largest seismic event. This study aims to suggest another approach to investigate the complex dynamics of geoelectrical signals.

[1]  T. Ishido,et al.  Electrokinetic phenomena associated with earthquakes , 1976 .

[2]  D. Patella Introduction to ground surface self‐potential tomography , 1997 .

[3]  P. A. Prince,et al.  Anomalous fluctuations in the dynamics of complex systems: from DNA and physiology to econophysics , 1996 .

[4]  I. P. Dobrovolsky,et al.  Estimation of the size of earthquake preparation zones , 1979 .

[5]  P. Varotsos,et al.  Long-range correlations in the electric signals that precede rupture: further investigations. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[6]  C. Scholz The Mechanics of Earthquakes and Faulting , 1990 .

[7]  Kiyohumi Yumoto,et al.  ULF electromagnetic precursors for an earthquake at Biak, Indonesia on February 17, 1996 , 2000 .

[8]  E. Bacry,et al.  Characterizing long-range correlations in DNA sequences from wavelet analysis. , 1995, Physical review letters.

[9]  H. Stanley,et al.  Analysis of DNA sequences using methods of statistical physics , 1998 .

[10]  P. Varotsos,et al.  Attempt to distinguish electric signals of a dichotomous nature. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  E. Bacry,et al.  Wavelets and multifractal formalism for singular signals: Application to turbulence data. , 1991, Physical review letters.

[12]  B. Mandelbrot Fractal Geometry of Nature , 1984 .

[13]  H. Stanley,et al.  Effect of trends on detrended fluctuation analysis. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[14]  Masashi Hayakawa,et al.  Generation of ULF electromagnetic emissions by microfracturing , 1995 .

[15]  P. Varotsos,et al.  Long-range correlations in the electric signals that precede rupture. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[16]  M. Hayakawa,et al.  Scaling characteristics of ULF geomagnetic fields at the Guam seismoactive area and their dynamics in relation to the earthquake , 2001 .

[17]  Vicsek,et al.  Multifractality of self-affine fractals. , 1991, Physical review. A, Atomic, molecular, and optical physics.

[18]  C. Peng,et al.  Mosaic organization of DNA nucleotides. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[19]  Stephen K. Park Monitoring resistivity change in Parkfield, California: 1988–1995 , 1997 .

[20]  Shlomo Havlin,et al.  Nonlinearity and multifractality of climate change in the past 420,000 years , 2002, cond-mat/0202100.

[21]  Shaun Lovejoy,et al.  THE MULTIFRACTAL SCALING OF CLOUD RADIANCES FROM 1M TO 1KM , 2002 .

[22]  E. Bacry,et al.  The Multifractal Formalism Revisited with Wavelets , 1994 .

[23]  P. Varotsos,et al.  Electric fields that "arrive" before the time derivative of the magnetic field prior to major earthquakes. , 2003, Physical review letters.

[24]  H. Stanley,et al.  Fractals in Biology and Medicine: From DNA to the Heartbeat , 1994 .

[25]  Masashi Hayakawa,et al.  Fractal analysis of ULF geomagnetic data associated with the Guam Earthquake on August 8, 1993 , 1999 .

[26]  Maria Macchiato,et al.  A new approach to investigate the correlation between geoelectrical time fluctuations and earthquakes in a seismic area of southern Italy , 2001 .

[27]  E. Bacry,et al.  Multifractal random walk. , 2000, Physical review. E, Statistical, nonlinear, and soft matter physics.

[28]  H. Stanley,et al.  Magnitude and sign scaling in power-law correlated time series , 2003 .

[29]  M. Johnston,et al.  Review of Electric and Magnetic Fields Accompanying Seismic and Volcanic Activity , 1997 .

[30]  Gareth O'Brien,et al.  A numerical study of passive transport through fault zones , 2003 .

[31]  R. Mantegna,et al.  Long-range correlation properties of coding and noncoding DNA sequences: GenBank analysis. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[32]  C. Scholz,et al.  Dilatancy in the fracture of crystalline rocks , 1966 .

[33]  M. S. Lazaridou,et al.  Latest aspects of earthquake prediction in Greece based on seismic electric signals, II☆ , 1993 .

[34]  H. Stanley,et al.  Multifractal Detrended Fluctuation Analysis of Nonstationary Time Series , 2002, physics/0202070.

[35]  Stefan Thurner,et al.  MULTIFRACTAL SPECTRA AS A MEASURE OF COMPLEXITY IN HUMAN POSTURE , 2002 .

[36]  H E Stanley,et al.  Statistical physics and physiology: monofractal and multifractal approaches. , 1999, Physica A.

[37]  L. Neil Frazer,et al.  Use of ray theory to calculate high-frequency radiation from earthquake sources having spatially variable rupture velocity and stress drop , 1984 .

[38]  Amos Nur,et al.  Dilatancy, pore fluids, and premonitory variations of ts/tp travel times , 1972, Bulletin of the Seismological Society of America.

[39]  O. Nishizawa,et al.  The hierarchical rupture process of a fault: an experimental study , 2003 .

[40]  D. Montgomery,et al.  Streamflow and Water Well Responses to Earthquakes , 2003, Science.

[41]  Y. Brunet,et al.  Empirical study of multifractal phase transitions in atmospheric turbulence , 1994 .

[42]  Anthony B. Davis,et al.  Multifractal characterizations of nonstationarity and intermittency in geophysical fields: Observed, retrieved, or simulated , 1994 .

[43]  K. Aki Characterization of barriers on an earthquake fault , 1979 .

[44]  S. Havlin,et al.  Detecting long-range correlations with detrended fluctuation analysis , 2001, cond-mat/0102214.