Scaling of seismic memory with earthquake size

Zeyu Zheng, Kazuko Yamasaki, Joel Tenenbaum, Boris Podobnik, Yoshiyasu Tamura, and H. Eugene Stanley
Phys. Rev. E 86, 011107 – Published 6 July 2012

Abstract

It has been observed that discrete earthquake events possess memory, i.e., that events occurring in a particular location are dependent on the history of that location. We conduct an analysis to see whether continuous real-time data also display a similar memory and, if so, whether such autocorrelations depend on the size of earthquakes within close spatiotemporal proximity. We analyze the seismic wave form database recorded by 64 stations in Japan, including the 2011 “Great East Japan Earthquake,” one of the five most powerful earthquakes ever recorded, which resulted in a tsunami and devastating nuclear accidents. We explore the question of seismic memory through use of mean conditional intervals and detrended fluctuation analysis (DFA). We find that the wave form sign series show power-law anticorrelations while the interval series show power-law correlations. We find size dependence in earthquake autocorrelations: as the earthquake size increases, both of these correlation behaviors strengthen. We also find that the DFA scaling exponent α has no dependence on the earthquake hypocenter depth or epicentral distance.

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  • Received 26 September 2011

DOI:https://doi.org/10.1103/PhysRevE.86.011107

©2012 American Physical Society

Authors & Affiliations

Zeyu Zheng1, Kazuko Yamasaki1,2, Joel Tenenbaum2, Boris Podobnik2,3,4, Yoshiyasu Tamura5, and H. Eugene Stanley2

  • 1Department of Environmental Sciences, Tokyo University of Information Sciences, Chiba 265-8501, Japan
  • 2Center for Polymer Studies and Department of Physics, Boston University, Boston, Massachusetts 02215, USA
  • 3Faculty of Civil Engineering, University of Rijeka, Rijeka, Croatia
  • 4Zagreb School of Economics and Management, 10000 Zagreb, Croatia
  • 5The Institute of Statistical Mathematics, 10-3 Midori-cho, Tachikawa, Tokyo 190-8562, Japan

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Issue

Vol. 86, Iss. 1 — July 2012

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