Document Type : Research Article
Authors
1
Physics Department, Qom Branch, Islamic Azad University, Qom
2
Department of Physics- Islamic Azad University- Qom- Iran
3
Faculty of Physics- Zanjan university
Abstract
Recently, complex network theory has appeared as a suitable tool for studying complex phenomena. Earthquakes show spatio-temporal complex behavior that can be studied using complex networks, which enables us to recognize the global features of Earthquakes.
It is so hard to consider all factors affecting the movement of faults and put them into a compact mathematical equation in order to describe the earthquake phenomenon. In complex network theory, we do not need to know details of the fault system. By knowing only about the magnitude, time of occurrence and location of seismic events, we are able to understand several aspects of the earthquake phenomenon. Studies on earthquakes using the network method are based on how the network is constructed. We try to show that the main statistical features of earthquake phenomena in any region can be retrieved from the associated earthquake network. We have made our earthquake network as Baiesi-Paczuski (2004) network model. The epicenters of seismic events play the role of nodes for the networkand a link was established between two nodes by the relationship defined by Baiesi-Paczuski.
In this project, by constructing the network, the parameters of seismicity (a-value, b-value), fractal dimension and correlation ratio in the Iran region. In the first attempt we drew out the Gutenberg–Richter law from the earthquakes network and the Omori law from the Baiesi-Paczuski network model.
We have used data recorded from 1996 to 2020 data at all the broadband and short-period stations of the Iranian Seismological Center (ISC, http://irsc.ut.ac.ir).
The results showed that b-value≈0.93,a-value≈6.9 andd_f≈1.56. By the way, the results also showed that, for any magnitude, the aftershock rates follow the Omori law with the line gradient of p≈-1 and the earthquake degree distribution function in Iran from the power relationship (P(k)~k^γ) with a γ = 1.59. In addition, the distribution function showed that the correlation relation is also a power relationship.
In this project, by constructing the network, the parameters of seismicity (a-value, b-value), fractal dimension and correlation ratio in the Iran region. In the first attempt we drew out the Gutenberg–Richter law from the earthquakes network and the Omori law from the Baiesi-Paczuski network model.
We have used data recorded from 1996 to 2020 data at all the broadband and short-period stations of the Iranian Seismological Center (ISC, http://irsc.ut.ac.ir).
The results showed that b-value≈0.93,a-value≈6.9 andd_f≈1.56. By the way, the results also showed that, for any magnitude, the aftershock rates follow the Omori law with the line gradient of p≈-1 and the earthquake degree distribution function in Iran from the power relationship (P(k)~k^γ) with a γ = 1.59. In addition, the distribution function showed that the correlation relation is also a power relationship.
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