Results 1 to 10 of about 3,058,004 (213)
Magnitude‐dependent Omori law: Theory and empirical study [PDF]
Journal of Geophysical Research: Solid Earth, 2005 We propose a new physically-based ``multifractal stress activation'' model of earthquake interaction and triggering based on two simple ingredients: (i) a seismic rupture results from activated processes giving an exponential dependence on the local ...
Guy Ouillon, Didier Sornette
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On the Omori Law in the Physics of Earthquakes [PDF]
Applied Sciences, 2022 This paper proposes phenomenological equations that describe various aspects of aftershock evolution: elementary master equation, logistic equation, stochastic equation, and nonlinear diffusion equation.
Alexey Zavyalov +3 more
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Mathematical Theory of Seismic Activity and Its Specific Cases: Gutenberg–Richter Law, Omori Law, Roll-Off Effect, and Negative Binomial Distribution [PDF]
EntropyWe discuss a model of seismic activity that is based on the concept of energy in a cluster of sources of seismic activity. We show that specific cases of the studied model lead to the Gutenberg–Richter relationship and the Omori law. These laws are valid
Roumen Borisov, Nikolay K. Vitanov
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Bayesian analysis of the modified Omori law [PDF]
Journal of Geophysical Research: Solid Earth, 2012 In order to examine variations in aftershock decay rate, we propose a Bayesian framework to estimate the {K, c, p}‐values of the modified Omori law (MOL), λ(t) = K(c + t)−p. The Bayesian setting allows not only to produce a point estimator of these three parameters but also to assess their uncertainties and posterior dependencies with respect to the ...
M. Holschneider +4 more
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Correlations and Omori law in spamming [PDF]
EPL (Europhysics Letters), 2008 The most costly and annoying characteristic of the e-mail communication system is the large number of unsolicited commercial e-mails, known as spams, that are continuously received.
Massimo Pica Ciamarra +2 more
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Omori law for eruption foreshocks and aftershocks [PDF]
Journal of Geophysical Research: Solid Earth, 2012 Using the 1973–2009 worldwide catalogs forM≥ 4.8 seismicity andVEI≥ 0 volcano eruptions, we compare the properties of seismic damage patterns contemporary with eruption with the properties of foreshocks and aftershocks of classic tectonic earthquakes. Using superposed epoch analysis, we demonstrated that the seismicity rate after eruption decreases as ...
A. Schmid, Jean‐Robert Grasso
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Mw ≥ 5 aftershocks of the 2008 Sichuan earthquake: Analysis of temporal variation of Omori Law p-value [PDF]
Frontiers in Earth Science, 2022 Strong to great earthquakes considerably weaken the structural strength of the subsurface strata and civil constructions. The occurrence of Mw ≥ 5 aftershocks further contributes to the loss of human lives and damage to property.
Harsh K. Gupta, Rajesh Rekapalli
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Interpretation of the Omori law [PDF]
Izvestiya, Physics of the Solid Earth, 2016 The well-known Omori law is represented in the form of the differential equation describing the evolution of the aftershock activity. The interpretation of the evolution equation is suggested.
A. V. Guglielmi
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New Empirical Tests of the Multifractal Omori Law for Taiwan [PDF]
Bulletin of the Seismological Society of America, 2012 We report new tests of the linear dependence of the p ‐value of aftershock sequences on the magnitude M m of the triggering event for the Taiwan earthquake catalog.
C.-Y. Tsai, G. Ouillon, D. Sornette
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Power law relaxation in a complex system: Omori law after a financial market crash [PDF]
Physical Review E, 2001 We study the relaxation dynamics of a financial market just after the occurrence of a crash by investigating the number of times the absolute value of an index return is exceeding a given threshold value. We show that the empirical observation of a power
Fabrizio Lillo, Rosario N. Mantegna
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