Influence of strong electromagnetic discharges on the dynamics of earthquakes time distribution in the Bishkek test area (Central Asia)
Author(s)
Date Issued
August 2006
Issue/vol(year)
4-5/49 (2006)
Language
English
Abstract
From 08/01/1983 to 28/03/1990, at the Bishkek ElectroMagnetic (EM) test site (Northern Tien Shan and Chu Valley
area, Central Asia), strong currents, up to 2.5 kA, were released at a 4.5 km long electrical (grounded) dipole.
This area is seismically active and a catalogue with about 14100 events from 1975 to 1996 has been analyzed. The
seismic catalogue was divided into three parts: 1975-1983 first part with no EM experiments, 1983-1990 second
part during EM experiments and 1988-1996 after experiments part. Qualitative and quantitative time series non- linear
analysis was applied to waiting times of earthquakes to the above three sub catalogue periods. The qualitative
approach includes visual inspection of reconstructed phase space, Iterated Function Systems (IFS) and Recurrence
Quantification Analysis (RQA). The quantitative approach followed correlation integral calculation of reconstructed
phase space of waiting time distribution, with noise reduction and surrogate testing methods. Moreover the Lempel-
Ziv algorithmic complexity measure (LZC) was calculated. General dynamics of earthquakes’ temporal distribution
around the test area, reveals properties of low dimensional non linearity. Strong EM discharges lead to the
increase in extent of regularity in earthquakes temporal distribution. After cessation of EM experiments the earthquakes’
temporal distribution becomes much more random than before experiments. To avoid non valid conclusions
several tests were applied to our data set: differentiation of the time series was applied to check results not affected
by non stationarity; the surrogate data approach was followed to reject the hypothesis that dynamics belongs to the
colored noise type. Small earthquakes, below completeness threshold, were added to the analysis to check results
robustness.
area, Central Asia), strong currents, up to 2.5 kA, were released at a 4.5 km long electrical (grounded) dipole.
This area is seismically active and a catalogue with about 14100 events from 1975 to 1996 has been analyzed. The
seismic catalogue was divided into three parts: 1975-1983 first part with no EM experiments, 1983-1990 second
part during EM experiments and 1988-1996 after experiments part. Qualitative and quantitative time series non- linear
analysis was applied to waiting times of earthquakes to the above three sub catalogue periods. The qualitative
approach includes visual inspection of reconstructed phase space, Iterated Function Systems (IFS) and Recurrence
Quantification Analysis (RQA). The quantitative approach followed correlation integral calculation of reconstructed
phase space of waiting time distribution, with noise reduction and surrogate testing methods. Moreover the Lempel-
Ziv algorithmic complexity measure (LZC) was calculated. General dynamics of earthquakes’ temporal distribution
around the test area, reveals properties of low dimensional non linearity. Strong EM discharges lead to the
increase in extent of regularity in earthquakes temporal distribution. After cessation of EM experiments the earthquakes’
temporal distribution becomes much more random than before experiments. To avoid non valid conclusions
several tests were applied to our data set: differentiation of the time series was applied to check results not affected
by non stationarity; the surrogate data approach was followed to reject the hypothesis that dynamics belongs to the
colored noise type. Small earthquakes, below completeness threshold, were added to the analysis to check results
robustness.
References
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TSIMRING (1993): The analysis of observed chaotic data
in physical systems, Rev. Mod. Phys., 65 (4), 1331- 1392.
CHELIDZE, T. and O. LURSMANASHVILI (2003): Electromagnetic
and mechanical control of slip: laboratory experiments
with slider system, Non-linear Processes Geophys.,
20, 1-8.
CHELIDZE, T., N. VARAMASHVILI, M. DEVIDZE, Z. CHELIDZE,
V. CHIKLADZE and T. MATCHARASHVILI (2002): Laboratory
study of electromagnetic initiation of slip, Ann.
Geophysics, 45 (5), 587-598.
CHELIDZE, T., T. MATCHARASHVILI, J. GOGIASHVILI, O.
LURSMANASHVILI and M. DEVIDZE (2005): Phase synchronization
of slip in laboratory slider system, Nonlinear
Processes Geophys., 12, 1-8.
DE RUBEIS, V., P. DIMITRIU, E. PAPADIMITRIOU and P. TOSI
(1993): Recurrent patterns in the spatial behaviour of
Italian seismicity revealed by the fractal approach,
Geophys. Res. Lett., 20, 1911-1914.
ECKMANN, J.P., S. KAMPHORST and D. RUELLE (1987): Recurrence
plots of dynamical systems, Europhys. Lett., 4
(9), 973-977.
GELLER, R.J., D.D. JACKSON,Y.Y. KAGAN and F. MULARGIA
(1997): Earthquakes cannot be predicted, Sciences,
275, 1616-1617.
GOLTZ, C. (1998): Fractal and Chaotic Properties of Earthquakes
(Springer, Berlin).
HEGGER, R. and H. KANTZ (1999): Practical implementation
of non-linear time series methods: the TISEAN package,
Chaos, 9, 413-440.
JEFFREY, J.H. (1992): Chaos game vizualization of sequences,
Comput. Graphics, 16 (1), 25-33.
JONES, N. (2001): The quake machine, New Scientist, June
30, 34-37.
KANTZ, H. and T. SCHREIBER (1997): Non-linear Time Series
Analysis (Cambridge University Press).
LEMPEL, A. and J. ZIV (1976): On the complexity of finite
sequences, IEEE Trans. Infor. Theory, IT-22, 75-81.
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earthquakes a realistic scientific goal?, in Nature Debates
(available on line at http://www.nature.com/nature/
debates/earthquake/equake_frameset.html).
MARWAN, N., N. WESSEL, U. MEYERFELDT, A. SCHIRDEWAN and J. KURTHS (2002): Recurrence-plot-based measures
of complexity and their application to heart rate
variability data, Phys. Rev. E, 66, 026702.1-026702.8.
MATCHARASHVILI, T. and M. JANIASHVILI (2001): Investigation
of variability of indexes of myocardial contractility
by complexity measure in patients with arterial hypertension,
in Non-linear Dynamics in Life and Social
Sciences, edited by W. SULIS and I. TROFIMOVA (IOS
Press, Amsterdam), 204-214.
MATCHARASHVILI, T., T. CHELIDZE and Z. JAVAKHISHVILI
(2000): Non-linear analysis of magnitude and waiting
time interval sequences for earthquakes of Caucasian
region, Non-linear Processes Geophys., 7, 9-19.
MULARGIA, F., P. GASPERINI and S. TINTI (1987): Contour
mapping of Italian seismicity, Tectonophysics, 142,
203-216.
PACKARD, N.H., J.P. CRUTCHFIELD, J.D. FARMER and R.S.
SHAW (1980): Geometry from a time series, Phys. Rev.
Lett., 45, 712-716.
PEITGEN, H.O., H. JURGENS and D. SAUPE (1992): Chaos
and Fractals: New Frontiers of Science (Springer, NY).
PRICHARD, D. and J. THEILER (1994): Generating surrogate
data time series with several simultaneously measured
variables, Phys. Rev. Lett., 73 (7), 951-1018.
RAPP, P.E., A.M. ALBANO, T.I. SCHMAH and L.A. FARWELL
(1993): Filtered noise can mimic low-dimensional
chaotic attractors, Phys. Rev. E, 47 (4), 2289-2297.
RAPP, P.E., A.M. ALBANO, I.D. ZIMMERMAN and M.A.
JUMENEZ-MONTERO (1994): Phase-randomized surrogates
can produce spurious identification of non-random
structure, Phys. Lett. A, 192 (1), 27-33.
RIZNICHENKO, YU.V. (1985): Problems of Seismology (Nauka,
Moscow), p. 24 (in Russian).
SCHREIBER, T. (1993): Extremely simple non-linear noisereduction
method, Phys. Rev. E, 47 (4), 2401-2404.
SCHREIBER, T. and A. SCHMITZ (2000): Surrogate time series,
Physica D, 142, 346-352.
SPROTT, J.C. and G. ROWLANDS (1995): Chaos Data Analyzer;
the Professional Version (AIP, NY).
TAKENS, F. (1981): Detecting strange attractors in turbulence,
in Dynamical Systems and Turbulence, edited by
D.A. RAND and L.S. YOUNG, Springer Lecture Notes in
Mathematics, 898, 366-381.
TARASOV, N.T. (1997): Crustal seismicity variation under
electric action, Trans. Russ. Acad. Sci., 353A (3), 445-
448.
TARASOV, N.G., N.V. TARASOVA, A.A. AVAGIMOV and V.A.
ZEIGARNIK (1999): The effect of high-power electromagnetic
pulses on the seismicity of the Central Asia
and Kazakhstan, Vulkanol. Seismol., 4-5, 152-160 (in
Russian).
THEILER, J., S. EUBANK, A. LONGTIN, B. GALDRIKIAN and J.D.
FARMER (1992): Testing for non-linearity in time series:
the method of surrogate data, Physica D, 58 ,77-94.
TURCOTTE, D.L. (1997): Fractals and Chaos in Geology
and Geophysics (Cambridge University Press), 2nd
edition.
VOLYKHIN, A.M., V.D. BRAGIN and A.P. ZUBOVICH (1993):
Geodynamic Processes in Geophysical Fields (Nauka,
Moscow).
WEBBER, C.L. JR. and J.P. ZBILUT (1994): Dynamical
assessment of physiological systems and states using
recurrence plot strategies, J. Appl. Physiol., 76, 965-
973.
ZBILUT, J.P. and C.L. WEBBER JR. (1992): Embeddings and
delays as derived from quantification of recurrence
plots, Phys. Lett. A, 171, 199-203.
ZHANG, X. and N.V. THAKOR (1999): Detecting ventricular
tachicardia and fibrillation by complexity measure,
IEEE Trans. Biomed. Eng., 46 (5), 548-555.
TSIMRING (1993): The analysis of observed chaotic data
in physical systems, Rev. Mod. Phys., 65 (4), 1331- 1392.
CHELIDZE, T. and O. LURSMANASHVILI (2003): Electromagnetic
and mechanical control of slip: laboratory experiments
with slider system, Non-linear Processes Geophys.,
20, 1-8.
CHELIDZE, T., N. VARAMASHVILI, M. DEVIDZE, Z. CHELIDZE,
V. CHIKLADZE and T. MATCHARASHVILI (2002): Laboratory
study of electromagnetic initiation of slip, Ann.
Geophysics, 45 (5), 587-598.
CHELIDZE, T., T. MATCHARASHVILI, J. GOGIASHVILI, O.
LURSMANASHVILI and M. DEVIDZE (2005): Phase synchronization
of slip in laboratory slider system, Nonlinear
Processes Geophys., 12, 1-8.
DE RUBEIS, V., P. DIMITRIU, E. PAPADIMITRIOU and P. TOSI
(1993): Recurrent patterns in the spatial behaviour of
Italian seismicity revealed by the fractal approach,
Geophys. Res. Lett., 20, 1911-1914.
ECKMANN, J.P., S. KAMPHORST and D. RUELLE (1987): Recurrence
plots of dynamical systems, Europhys. Lett., 4
(9), 973-977.
GELLER, R.J., D.D. JACKSON,Y.Y. KAGAN and F. MULARGIA
(1997): Earthquakes cannot be predicted, Sciences,
275, 1616-1617.
GOLTZ, C. (1998): Fractal and Chaotic Properties of Earthquakes
(Springer, Berlin).
HEGGER, R. and H. KANTZ (1999): Practical implementation
of non-linear time series methods: the TISEAN package,
Chaos, 9, 413-440.
JEFFREY, J.H. (1992): Chaos game vizualization of sequences,
Comput. Graphics, 16 (1), 25-33.
JONES, N. (2001): The quake machine, New Scientist, June
30, 34-37.
KANTZ, H. and T. SCHREIBER (1997): Non-linear Time Series
Analysis (Cambridge University Press).
LEMPEL, A. and J. ZIV (1976): On the complexity of finite
sequences, IEEE Trans. Infor. Theory, IT-22, 75-81.
MAIN, I. et al. (1999): Is the reliable prediction of individual
earthquakes a realistic scientific goal?, in Nature Debates
(available on line at http://www.nature.com/nature/
debates/earthquake/equake_frameset.html).
MARWAN, N., N. WESSEL, U. MEYERFELDT, A. SCHIRDEWAN and J. KURTHS (2002): Recurrence-plot-based measures
of complexity and their application to heart rate
variability data, Phys. Rev. E, 66, 026702.1-026702.8.
MATCHARASHVILI, T. and M. JANIASHVILI (2001): Investigation
of variability of indexes of myocardial contractility
by complexity measure in patients with arterial hypertension,
in Non-linear Dynamics in Life and Social
Sciences, edited by W. SULIS and I. TROFIMOVA (IOS
Press, Amsterdam), 204-214.
MATCHARASHVILI, T., T. CHELIDZE and Z. JAVAKHISHVILI
(2000): Non-linear analysis of magnitude and waiting
time interval sequences for earthquakes of Caucasian
region, Non-linear Processes Geophys., 7, 9-19.
MULARGIA, F., P. GASPERINI and S. TINTI (1987): Contour
mapping of Italian seismicity, Tectonophysics, 142,
203-216.
PACKARD, N.H., J.P. CRUTCHFIELD, J.D. FARMER and R.S.
SHAW (1980): Geometry from a time series, Phys. Rev.
Lett., 45, 712-716.
PEITGEN, H.O., H. JURGENS and D. SAUPE (1992): Chaos
and Fractals: New Frontiers of Science (Springer, NY).
PRICHARD, D. and J. THEILER (1994): Generating surrogate
data time series with several simultaneously measured
variables, Phys. Rev. Lett., 73 (7), 951-1018.
RAPP, P.E., A.M. ALBANO, T.I. SCHMAH and L.A. FARWELL
(1993): Filtered noise can mimic low-dimensional
chaotic attractors, Phys. Rev. E, 47 (4), 2289-2297.
RAPP, P.E., A.M. ALBANO, I.D. ZIMMERMAN and M.A.
JUMENEZ-MONTERO (1994): Phase-randomized surrogates
can produce spurious identification of non-random
structure, Phys. Lett. A, 192 (1), 27-33.
RIZNICHENKO, YU.V. (1985): Problems of Seismology (Nauka,
Moscow), p. 24 (in Russian).
SCHREIBER, T. (1993): Extremely simple non-linear noisereduction
method, Phys. Rev. E, 47 (4), 2401-2404.
SCHREIBER, T. and A. SCHMITZ (2000): Surrogate time series,
Physica D, 142, 346-352.
SPROTT, J.C. and G. ROWLANDS (1995): Chaos Data Analyzer;
the Professional Version (AIP, NY).
TAKENS, F. (1981): Detecting strange attractors in turbulence,
in Dynamical Systems and Turbulence, edited by
D.A. RAND and L.S. YOUNG, Springer Lecture Notes in
Mathematics, 898, 366-381.
TARASOV, N.T. (1997): Crustal seismicity variation under
electric action, Trans. Russ. Acad. Sci., 353A (3), 445-
448.
TARASOV, N.G., N.V. TARASOVA, A.A. AVAGIMOV and V.A.
ZEIGARNIK (1999): The effect of high-power electromagnetic
pulses on the seismicity of the Central Asia
and Kazakhstan, Vulkanol. Seismol., 4-5, 152-160 (in
Russian).
THEILER, J., S. EUBANK, A. LONGTIN, B. GALDRIKIAN and J.D.
FARMER (1992): Testing for non-linearity in time series:
the method of surrogate data, Physica D, 58 ,77-94.
TURCOTTE, D.L. (1997): Fractals and Chaos in Geology
and Geophysics (Cambridge University Press), 2nd
edition.
VOLYKHIN, A.M., V.D. BRAGIN and A.P. ZUBOVICH (1993):
Geodynamic Processes in Geophysical Fields (Nauka,
Moscow).
WEBBER, C.L. JR. and J.P. ZBILUT (1994): Dynamical
assessment of physiological systems and states using
recurrence plot strategies, J. Appl. Physiol., 76, 965-
973.
ZBILUT, J.P. and C.L. WEBBER JR. (1992): Embeddings and
delays as derived from quantification of recurrence
plots, Phys. Lett. A, 171, 199-203.
ZHANG, X. and N.V. THAKOR (1999): Detecting ventricular
tachicardia and fibrillation by complexity measure,
IEEE Trans. Biomed. Eng., 46 (5), 548-555.
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