Turbulent-Like Behavior of Seismic Time Series

Abstract

We report on a novel stochastic analysis of seismic time series for the Earth's vertical velocity, by using methods originally developed for complex hierarchical systems, and in particular for turbulent flows. Analysis of the fluctuations of the detrended increments of the series reveals a pronounced change of the shapes of the probability density functions (PDF) of the series' increments. Before and close to an earthquake the shape of the PDF and the long-range correlation in the increments both manifest significant changes. For a moderate or large-size earthquake the typical time at which the PDF undergoes the transition from a Gaussian to a non-Gaussian is about 5-10 hours. Thus, the transition represents a new precursor for detecting such earthquakes.

12 pages, 5 figures

References in corpus (13)

• Predictability of catastrophic events: material rupture, earthquakes, turbulence, financial crashes and human birth
• Modelling fluctuations of financial time series: from cascade process to stochastic volatility model
• Similarity of fluctuations in correlated systems: The case of seismicity
• Extreme deviations and applications
• Analysis of Self-Organized Criticality in the Olami-Feder-Christensen model and in real earthquakes
• Stock market crashes are outliers
• Critical Scale-invariance in Healthy Human Heart Rate
• Localization of elastic waves in heterogeneous media with off-diagonal disorder and long-range correlations
• Precursors of extreme increments
• Dynamic renormalization group analysis of propagation of elastic waves in two-dimensional heterogeneous media
• Turbulent self-organized criticality
• Uncertainty in the Fluctuations of the Price of Stocks
• Fractal Properties of the Distribution of Earthquake Hypocenters

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