Fragment-Asperity Interaction Model for Earthquakes

Sotolongo‐Costa, Oscar; Posadas, A. M.

doi:10.1103/physrevlett.92.048501

Cited by 164 publications

(180 citation statements)

References 14 publications

Supporting

Mentioning

171

Contrasting

Unclassified

Order By: Relevance

“…Stress increases until a displacement of one of the asperities, due to the displacement of the hindering fragment, or even its breakage in the point of contact with the fragment leads to a relative displacement of the fault planes of the order of the size ȡ of the hindering fragment, with the subsequent energy release İ [7]. Since large fragments are more difficult to release than small ones, this energy İ~ȡ 3 , in agreement with the scaling relationship between seismic moment and rupture length [10].…”

Section: Nonextensivity In Modeling Earthquakesmentioning

confidence: 99%

“…Sotolongo-Costa and Posadas [7] developed an intriguing model for earthquake generation mechanism, which starting from first principles led to an energy distribution function, including the GR law as a particular case. In this model the fragments between the irregularities of the fault planes, originated by the local breakage of the tectonic plates, from which the faults are generated interact.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Tsallis-Based Nonextensive Analysis of the Southern California Seismicity

Telesca

2011

Entropy

View full text Add to dashboard Cite

Nonextensive statistics has been becoming a very useful tool to describe the complexity of dynamic systems. Recently, analysis of the magnitude distribution of earthquakes has been increasingly used in the context of nonextensivity. In the present paper, the nonextensive analysis of the southern California earthquake catalog was performed. The results show that the nonextensivity parameter q lies in the same range as obtained for other different seismic areas, thus suggesting a sort of universal character in the nonextensive interpretation of seismicity.

show abstract

Section: Nonextensivity In Modeling Earthquakesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Tsallis-Based Nonextensive Analysis of the Southern California Seismicity

Telesca

2011

Entropy

View full text Add to dashboard Cite

show abstract

“…The GR law can also be stated in terms of energy released by earthquakes. In this case the number of earthquakes with energy greater than ε, N (ε), behaves as a PL, with critical exponent τ ∈ [0.8; 1.05] [31,47], while:…”

Section: Introductionmentioning

confidence: 99%

“…Sotolongo-Costa and Posadas [47] present a model for earthquake dynamics consisting of two rough profiles interacting via fragments filling the gaps between adjacent plates. The irregularities of the fault surfaces can interact with the fragments and develop a mechanism for triggering earthquakes.…”

Section: Introductionmentioning

confidence: 99%

Integer and fractional-order entropy analysis of earthquake data series

Lopes

Machado

2015

Nonlinear Dyn

View full text Add to dashboard Cite

This paper studies the statistical distributions of worldwide earthquakes from year 1963 up to year 2012. A Cartesian grid, dividing Earth into geographic regions, is considered. Entropy and the Jensen-Shannon divergence are used to analyze and com-pare real-world data. Hierarchical clustering and multi-dimensional scaling techniques are adopted for data visualization. Entropy-based indices have the advan-tage of leading to a single parameter expressing the relationships between the seismic data. Classical and generalized (fractional) entropy and JensenShannon divergence are tested. The generalized measures lead to a clear identification of patterns embedded in the data and contribute to better understand earthquake distrib-utions.

show abstract

“…Along these lines, the role of the geometry of the fault profiles, for example, in earthquake dynamics has been highlighted. 18) Despite the several attempts that have been made towards G-R explanation, the most recent efforts 19) adopt the view that G-R has not yet been connected with general principles in Physics. The natural time.…”

Section: Introduction the Best Known Scaling Relation For Earthquakementioning

confidence: 99%

A plausible explanation of the b-value in the Gutenberg-Richter law from first Principles

Varotsos

Skordas

Tanaka

2004

Proceedings of the Japan Academy. Ser. B: Physical and Biologic

View full text Add to dashboard Cite

Introduction. The best known scaling relation for earthquakes is the Gutenberg-Richter law (G-R).1) It states that the (cumulative) number of earthquakes with magnitude greater than M occurring in a specified area and time is given by N(> M) ~ 10 -bM [1] where b is a constant. Numerous publications have examined the spatial and temporal variations of the bvalue, but it is currently considered 2) that it is generally a constant varying only slightly from region to region being in the range 0.8 ≤ b ≤ 1.2. It has been recognized that G-R belongs to a broad range of natural phenomena that exhibit fractal scaling.2),3) Such a scaling reflects that the number of earthquakes (occurring in a specified area and time) with rupture areas greater than A is given by 2)The main aim of the present paper could be described as an attempt towards understanding the origin of the aforementioned constancy of the b-or D-value. Nowadays, it is generally accepted that main shocks can be considered in the frame of critical phenomena 5) (e.g. In the frame of a single fault representation, the stick-slip mechanism is usually considered, in which the friction properties play the prominent role; we then additionally take into account that earthquakes occur in large areas characterized by a diversity of fault sizes and depths. Along these lines, the role of the geometry of the fault profiles, for example, in earthquake dynamics has been Abstract: It is explained, from first Principles, why in the Gutenberg-Richter law (stating that the cumulative number of earthquakes N(> M) with magnitude greater than M is given by N(> M) ~ 10 -bM ) the so called b-value is usually found to be around unity varying only slightly from region to region. The explanation is achieved just by applying the analysis in the natural time domain, without using any adjustable parameter.

show abstract

Fragment-Asperity Interaction Model for Earthquakes

Cited by 164 publications

References 14 publications

Tsallis-Based Nonextensive Analysis of the Southern California Seismicity

Tsallis-Based Nonextensive Analysis of the Southern California Seismicity

Integer and fractional-order entropy analysis of earthquake data series

A plausible explanation of the b-value in the Gutenberg-Richter law from first Principles

Contact Info

Product

Resources

About