TY - JOUR
T1 - On the possible correlation between the Gutenberg-Richter parameters of the frequency-magnitude relationship
AU - Perez-Oregon, J.
AU - Muñoz-Diosdado, A.
AU - Rudolf-Navarro, A. H.
AU - Guzmán-Sáenz, A.
AU - Angulo-Brown, F.
N1 - Publisher Copyright:
© 2018, Springer Science+Business Media B.V., part of Springer Nature.
PY - 2018/7/1
Y1 - 2018/7/1
N2 - 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.
AB - 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.
KW - Correlations
KW - Gutenberg-Richter parameters
KW - Seismicity
KW - Self-organized criticality
KW - Spring-block models
UR - http://www.scopus.com/inward/record.url?scp=85047380039&partnerID=8YFLogxK
U2 - 10.1007/s10950-018-9757-6
DO - 10.1007/s10950-018-9757-6
M3 - Artículo
SN - 1383-4649
VL - 22
SP - 1025
EP - 1035
JO - Journal of Seismology
JF - Journal of Seismology
IS - 4
ER -