Some Common Features Between a Spring-Block Self-Organized Critical Model, Stick–Slip Experiments with Sandpapers and Actual Seismicity

Pérez-Oregon, Jennifer; Muñoz-Diosdado, Alejandro; Rudolf-Navarro, Adolfo; Angulo‐Brown, F.

doi:10.1007/s00024-019-02320-2

Cited by 9 publications

(31 citation statements)

References 33 publications

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“…As Kanamori’s asserts [ 1 ], it should be noted that Equation (1) is obtained empirically without any particular physical model. Several authors [ 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 ], have shown that, by means of 2-D spring-block self-organized critical numerical models, it is possible to obtain well-behaved Gutenberg–Richter (GR) type relationships [ 15 ], this being a good indication that the Earth’s crust behaves like a self-organized critical (SOC) system. In fact, Geller et al [ 16 ] recognized that there is consensus that this is the case of the Earth’s crust.…”

Section: Introductionmentioning

confidence: 99%

“…In fact, Geller et al [ 16 ] recognized that there is consensus that this is the case of the Earth’s crust. We have recently published an article [ 13 ] in which we go one step further on the possible agreement between a spring-block SOC model and some properties of seismicity in subduction zones. In that article, by using the Olami, Feder and Christensen (OFC) SOC model [ 10 ] we were able to reproduce the Ruff–Kanamori diagram that links

with T and V (see Figure 2 of [ 3 ]).…”

Section: Introductionmentioning

confidence: 99%

“…As Scholz [ 4 ] says, on balance it appears that seismic coupling correlates positively with the convergence rate and negatively with the slab age, only taken together. As we said above, we have recently published an article in which we provide some possible additional evidence about the self-organized critical nature of actual seismicity [ 13 ]. As it is well known, a number of SOC models of the spring-block type reproduce well-behaved Gutenberg–Richter relations analogue to those of actual seismicity [ 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 ].…”

Section: Introductionmentioning

confidence: 99%

“…As we said above, we have recently published an article in which we provide some possible additional evidence about the self-organized critical nature of actual seismicity [ 13 ]. As it is well known, a number of SOC models of the spring-block type reproduce well-behaved Gutenberg–Richter relations analogue to those of actual seismicity [ 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 ]. The additional evidence we proposed as a SOC attribute of actual seismicity [ 13 ] is the reproduction of a Ruff–Kanamori diagram which describes the correlation between the magnitude (

) of the largest characteristic earthquake of a subduction zone with both the age of the lithospheric downgoing plate and the plate convergence rate [ 3 ].…”

Section: Introductionmentioning

confidence: 99%

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A Simple Model to Relate the Elastic Ratio Gamma of a Critically Self-Organized Spring-Block Model with the Age of a Lithospheric Downgoing Plate in a Subduction Zone

Pérez-Oregon

Muñoz-Diosdado

Rudolf-Navarro

et al. 2020

Entropy

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In 1980, Ruff and Kanamori (RK) published an article on seismicity and the subduction zones where they reported that the largest characteristic earthquake (Mw) of a subduction zone is correlated with two geophysical quantities: the rate of convergence between the oceanic and continental plates (V) and the age of the corresponding subducting oceanic lithosphere (T). This proposal was synthetized by using an empirical graph (RK-diagram) that includes the variables Mw, V and T. We have recently published an article that reports that there are some common characteristics between real seismicity, sandpaper experiments and a critically self-organized spring-block model. In that paper, among several results we qualitatively recovered a RK-diagram type constructed with equivalent synthetic quantities corresponding to Mw, V and T. In the present paper, we improve that synthetic RK-diagram by means of a simple model relating the elastic ratio γ of a critically self-organized spring-block model with the age of a lithospheric downgoing plate. In addition, we extend the RK-diagram by including some large subduction earthquakes occurred after 1980. Similar behavior to the former RK-diagram is observed and its SOC synthetic counterpart is obtained.

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Section: Introductionmentioning

confidence: 99%

with T and V (see Figure 2 of [ 3 ]).…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

) of the largest characteristic earthquake of a subduction zone with both the age of the lithospheric downgoing plate and the plate convergence rate [ 3 ].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A Simple Model to Relate the Elastic Ratio Gamma of a Critically Self-Organized Spring-Block Model with the Age of a Lithospheric Downgoing Plate in a Subduction Zone

Pérez-Oregon

Muñoz-Diosdado

Rudolf-Navarro

et al. 2020

Entropy

Self Cite

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“…Nowadays it is increasingly accepted that Earth’s crust is a self-organized critical system [ 1 , 2 , 3 ]. This fact is not favorable for seismic prediction.…”

Section: Introductionmentioning

confidence: 99%

A Comparative Study of Geoelectric Signals Possibly Associated with the Occurrence of Two Ms > 7 EQs in the South Pacific Coast of Mexico

Guzmán‐Vargas

Carrizales-Velazquez

Reyes-Ramírez

et al. 2019

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During past decades, several studies have suggested the existence of possible seismic electric precursors associated with earthquakes of magnitude M > 7 . However, additional analyses are needed to have more reliable evidence of pattern behavior prior to the occurrence of a big event. In this article we report analyses of self-potential Δ V records during approximately two years in three electro-seismic stations in Mexico located at Acapulco, Guerrero; Petatlán, Guerrero and Pinotepa Nacional, Oaxaca. On 18 April 2014 an M s 7.2 earthquake occurred near our Petatlán station. Our study shows two notable anomalies observed in the behavior of the Fourier power spectrum of Δ V for ultra low frequency ULF-range, and the transition of the α l -exponent of the detrended fluctuation analysis of the Δ V time series from uncorrelated to correlated signals. These anomalies lasted approximately three and a half months before the main shock. We compare this electric pattern with another electric signal we reported associated with an M s 7.4 that occurred on 14 September 1995 at Guerrero state, Mexico. Our characterization of the anomalies observed in both signals point out similar features that enrich our knowledge about precursory phenomena linked to the occurrence of earthquakes of magnitude M > 7 .

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Avalanche dynamics in nonconservative water droplet

Shi,

Mei,

Liu

et al. 2024

Physica A: Statistical Mechanics and its Applications

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Some Common Features Between a Spring-Block Self-Organized Critical Model, Stick–Slip Experiments with Sandpapers and Actual Seismicity

Cited by 9 publications

References 33 publications

A Simple Model to Relate the Elastic Ratio Gamma of a Critically Self-Organized Spring-Block Model with the Age of a Lithospheric Downgoing Plate in a Subduction Zone

A Simple Model to Relate the Elastic Ratio Gamma of a Critically Self-Organized Spring-Block Model with the Age of a Lithospheric Downgoing Plate in a Subduction Zone

A Comparative Study of Geoelectric Signals Possibly Associated with the Occurrence of Two Ms > 7 EQs in the South Pacific Coast of Mexico

Avalanche dynamics in nonconservative water droplet

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