Relationship between the Frequency Magnitude Distribution and the Visibility Graph in the Synthetic Seismicity Generated by a Simple Stick-Slip System with Asperities

Abstract

By using the method of the visibility graph (VG) the synthetic seismicity generated by a simple stick–slip system with asperities is analysed. The stick–slip system mimics the interaction between tectonic plates, whose asperities are given by sandpapers of different granularity degrees. The VG properties of the seismic sequences have been put in relationship with the typical seismological parameter, the b-value of the Gutenberg-Richter law. Between the b-value of the synthetic seismicity and the slope of the least square line fitting the k-M plot (relationship between the magnitude M of each synthetic event and its connectivity degree k) a close linear relationship is found, also verified by real seismicity.

Indications for a North Atlantic ocean circulation regime shift at the onset of the Little Ice Age

“…Here, we apply a recently developed method by Donges et al (2013a) to test for time series irreversibility that is based on horizontal visibility graphs (HVGs, Luque et al 2009;Lacasa et al 2012;Telesca et al 2014). HVGs are constructed from a time series (x(t i )) N i=1 such that each data point x i = x(t i ) of the time series is assigned to a node i of the graph.…”

Estimating the Epicenter of an Impending Strong Earthquake by Combining the Seismicity Order Parameter Variability Analysis with Earthquake Networks and Nowcasting: Application in the Eastern Mediterranean

“…In recent decades, the theory of networks [97][98][99][100][101] has triggered many applications in seismicity (see, e.g., [47,60,[102][103][104][105][106][107][108]), which showed that the EQ network properties may reveal a seismic hazard [109][110][111][112][113][114]. Tenenbaum et al [60] introduced the EQ networks based on similar activity patterns (ENBOSAP) which are very useful for the NTA of seismicity [83].…”

Visibility Graph Analysis of Reservoir-Triggered Seismicity: The Case of Song Tranh 2 Hydropower, Vietnam

“…Several further studies have been performed on the relationship between the b -value and the k–M slope, such as those focused on the shallow and deep Pannonian seismicities [ 17 ], in three dominant seismic areas of Northern Iran (Azerbaijan, Alborz, and Kopeh Dagh) [ 18 ], in 24 seismogenic zones in Alaska and Aleutian subduction zone at three depth ranges [ 19 ], in Taiwan and Italy [ 20 ]. Even laboratory seismicity, such as that generated by a mechanical stick-slip system with different roughness degrees [ 21 ], and physics-based synthetic seismicity [ 22 ] have shown that the b -value is closely linked to the k–M slope, suggesting that this relationship could be characterized by a type of universality.…”