Parameters of Higuchi's method to characterize primary waves in some seismograms from the Mexican subduction zone

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Abstract

Higuchi's method is a procedure that, if applied appropriately, can determine in a reliable way the fractal dimension D of time series; this fractal dimension permits to characterize the degree of correlation of the series. However, when analyzing some time series with Higuchi's method, there are oscillations at the right-hand side of the graph, which can cause a mistaken determination of the fractal dimension. In this work, an appropriate explanation is given to this type of behaviour. Using the seismogram as a time series and the properties of the P and S waves, it is possible to use the properties of Higuchi's method to previously detect the arrival of the earthquake shacking stage, some seconds in advance, approximately 30-35 s in the case of Mexico City. Thus, we propose the Higuchi's method to characterize and detect the P waves in order to estimate the strength of the forthcoming S waves. © 2012 Versita Warsaw and Springer-Verlag Wien.
Original languageAmerican English
Pages (from-to)910-927
Number of pages817
JournalActa Geophysica
DOIs
StatePublished - 1 Jun 2012

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seismograms
seismogram
subduction zone
fractals
P waves
S waves
time series
P-wave
S-wave
Mexico
arrivals
earthquakes
oscillations
causes
oscillation
estimates
earthquake
method
parameter

Cite this

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title = "Parameters of Higuchi's method to characterize primary waves in some seismograms from the Mexican subduction zone",
abstract = "Higuchi's method is a procedure that, if applied appropriately, can determine in a reliable way the fractal dimension D of time series; this fractal dimension permits to characterize the degree of correlation of the series. However, when analyzing some time series with Higuchi's method, there are oscillations at the right-hand side of the graph, which can cause a mistaken determination of the fractal dimension. In this work, an appropriate explanation is given to this type of behaviour. Using the seismogram as a time series and the properties of the P and S waves, it is possible to use the properties of Higuchi's method to previously detect the arrival of the earthquake shacking stage, some seconds in advance, approximately 30-35 s in the case of Mexico City. Thus, we propose the Higuchi's method to characterize and detect the P waves in order to estimate the strength of the forthcoming S waves. {\circledC} 2012 Versita Warsaw and Springer-Verlag Wien.",
author = "Gonzalo G{\'a}lvez-Coyt and Alejandro Mu{\~n}oz-Diosdado and Peralta, {Jos{\'e} A.} and Balderas-L{\'o}pez, {Jos{\'e} A.} and Fernando Angulo-Brown",
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T1 - Parameters of Higuchi's method to characterize primary waves in some seismograms from the Mexican subduction zone

AU - Gálvez-Coyt, Gonzalo

AU - Muñoz-Diosdado, Alejandro

AU - Peralta, José A.

AU - Balderas-López, José A.

AU - Angulo-Brown, Fernando

PY - 2012/6/1

Y1 - 2012/6/1

N2 - Higuchi's method is a procedure that, if applied appropriately, can determine in a reliable way the fractal dimension D of time series; this fractal dimension permits to characterize the degree of correlation of the series. However, when analyzing some time series with Higuchi's method, there are oscillations at the right-hand side of the graph, which can cause a mistaken determination of the fractal dimension. In this work, an appropriate explanation is given to this type of behaviour. Using the seismogram as a time series and the properties of the P and S waves, it is possible to use the properties of Higuchi's method to previously detect the arrival of the earthquake shacking stage, some seconds in advance, approximately 30-35 s in the case of Mexico City. Thus, we propose the Higuchi's method to characterize and detect the P waves in order to estimate the strength of the forthcoming S waves. © 2012 Versita Warsaw and Springer-Verlag Wien.

AB - Higuchi's method is a procedure that, if applied appropriately, can determine in a reliable way the fractal dimension D of time series; this fractal dimension permits to characterize the degree of correlation of the series. However, when analyzing some time series with Higuchi's method, there are oscillations at the right-hand side of the graph, which can cause a mistaken determination of the fractal dimension. In this work, an appropriate explanation is given to this type of behaviour. Using the seismogram as a time series and the properties of the P and S waves, it is possible to use the properties of Higuchi's method to previously detect the arrival of the earthquake shacking stage, some seconds in advance, approximately 30-35 s in the case of Mexico City. Thus, we propose the Higuchi's method to characterize and detect the P waves in order to estimate the strength of the forthcoming S waves. © 2012 Versita Warsaw and Springer-Verlag Wien.

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