On the possible correlation between the Gutenberg-Richter parameters of the frequency-magnitude relationship

J. Perez-Oregon, A. Muñoz-Diosdado, A. H. Rudolf-Navarro, A. Guzmán-Sáenz, F. Angulo-Brown

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

© 2018, Springer Science+Business Media B.V., part of Springer Nature. The study of the Gutenberg-Richter (GR) parameters a and b has been very important to describe and characterize the seismicity over the different seismic provinces around the world. As far as we know, the possible correlation between the GR parameters a and b has not received enough attention. Bayrak et al. reported the a and b values for 27 active seismic regions around the boundaries of the main tectonic plates of the world. From these data, we found that there exists a positive correlation between the a and b parameters (R = 0.85, R2 = 0.72). On the other hand, we made around 150 computer runs of a spring-block model proposed by Olami et al. (Phys Rev Lett 68(8):1244–1247, 1992). This model roughly emulates the interaction between two fault planes and it reaches a self-organized critical state. With these simulations, we also found that the a and b parameters are positively correlated. Motivated by these results, we propose an analytical demonstration that indeed a and b are positively correlated. In addition, we discuss on other possible applications of the spring-block model to actual seismicity and to frictional experiments made with sandpapers.
Original languageAmerican English
Pages (from-to)1025-1035
Number of pages921
JournalJournal of Seismology
DOIs
StatePublished - 1 Jul 2018

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seismicity
Tectonics
tectonic plate
plates (tectonics)
critical state
Demonstrations
fault plane
parameter
Industry
Experiments
simulation
experiment
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Cite this

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title = "On the possible correlation between the Gutenberg-Richter parameters of the frequency-magnitude relationship",
abstract = "{\circledC} 2018, Springer Science+Business Media B.V., part of Springer Nature. The study of the Gutenberg-Richter (GR) parameters a and b has been very important to describe and characterize the seismicity over the different seismic provinces around the world. As far as we know, the possible correlation between the GR parameters a and b has not received enough attention. Bayrak et al. reported the a and b values for 27 active seismic regions around the boundaries of the main tectonic plates of the world. From these data, we found that there exists a positive correlation between the a and b parameters (R = 0.85, R2 = 0.72). On the other hand, we made around 150 computer runs of a spring-block model proposed by Olami et al. (Phys Rev Lett 68(8):1244–1247, 1992). This model roughly emulates the interaction between two fault planes and it reaches a self-organized critical state. With these simulations, we also found that the a and b parameters are positively correlated. Motivated by these results, we propose an analytical demonstration that indeed a and b are positively correlated. In addition, we discuss on other possible applications of the spring-block model to actual seismicity and to frictional experiments made with sandpapers.",
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On the possible correlation between the Gutenberg-Richter parameters of the frequency-magnitude relationship. / Perez-Oregon, J.; Muñoz-Diosdado, A.; Rudolf-Navarro, A. H.; Guzmán-Sáenz, A.; Angulo-Brown, F.

In: Journal of Seismology, 01.07.2018, p. 1025-1035.

Research output: Contribution to journalArticle

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