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We propose and study a modified version of the Olami-Feder-Christiensen model of seismicity, that includes a mechanism of structural relaxation. We obtain realistic features of seismicity that are not obtained with the original version,…

Statistical Mechanics · Physics 2010-08-23 E. A. Jagla

Meta-instability is an irreversible precursor of earthquakes. To identify the meta-instability precursor of the Yangbi $M_S$ 6.4 earthquake ($99.87^{\circ}\mathrm{E}$, $25.67^{\circ}\mathrm{N}$)that occurred on May 21, 2021, we selected…

Geophysics · Physics 2025-02-19 Shouyong Li

The aftershocks of the Tohoku earthquake are analyzed in light of the phenomenological theory of aftershocks. The theory is based on the concept of an earthquake source as a dynamic system, the state of which is described by a deactivation…

Geophysics · Physics 2025-08-07 O. D. Zotov , A. V. Guglielmi

The earthquake source after the main shock can theoretically be represented as a black box without an entrance. At the output, there is a signal in the form of aftershocks, the frequency of which decreases on average with time according to…

Geophysics · Physics 2023-03-07 A. Guglielmi , O. Zotov

After the main shock of an earthquake the aftershocks are observed. According to Omori's law, the frequency of aftershocks decreases hyperbolically over time. We noticed that, strictly speaking, Omori's law paradoxically contradicts the law…

Geophysics · Physics 2024-05-27 A. V. Guglielmi , B. I. Klain

It has been long stated that there are profound analogies between fracture experiments and earthquakes; however, few works attempt a complete characterization of the parallelisms between these so separate phenomena. We study the Acoustic…

The presented paper is devoted to the search for mathematical basis for describing the aftershock evolution of strong earthquakes. We consider the experimental facts and heuristic arguments that allow to make a choice and to focus on the…

Geophysics · Physics 2020-09-24 A. V. Guglielmi , B. I. Klain

Megathrusts host Earth's largest earthquakes. Understanding the physical conditions controlling their rupture dynamics is critical for assessing seismic and tsunami hazards. These earthquakes often display complex rupture dynamics,…

Geophysics · Physics 2026-03-12 Jeremy Wing Ching Wong , Alice-Agnes Gabriel , Wenyuan Fan

Recently, simple differential models of aftershocks have attracted increased attention of researchers at the Institute of Physics of the Earth, Russian Academy of Sciences for their remarkable properties. The shortened Bernoulli equation…

Geophysics · Physics 2021-06-22 A. V. Guglielmi

Statistical properties of the inhomogeneous version of the Olami-Feder-Christensen (OFC) model of earthquakes is investigated by numerical simulations. The spatial inhomogeneity is assumed to be dynamical. Critical features found in the…

Statistical Mechanics · Physics 2015-05-18 Takumi Yamamoto , Hajime Yoshino , Hikaru Kawamura

Let $V_M,(m_0)$ be the number of m>M aftershocks caused by $m_0$ event. We consider the $V_M,(m_0)$ distribution within epidemic-type seismicity models, ETAS(F). These models include the Gutenberg-Richter law for magnitude and Utsu law for…

Geophysics · Physics 2024-04-25 G. Molchan

Very often damage and fracture in heterogeneous materials exhibit bursty dynamics made of successive impulse-like events which form characteristic aftershock sequences obeying specific scaling laws initially derived in seismology:…

Statistical Mechanics · Physics 2019-08-07 Jonathan Barés , Daniel Bonamy , Alberto Rosso

Integrating focal mechanism solutions with rupture directivity analysis enables high-resolution characterization of subsurface fault geometry and earthquake rupture processes. However, resolving these parameters for small-magnitude…

Geophysics · Physics 2025-12-15 Youjie Jiang , Jiewen Zhang , Jinping Zi , Hongfeng Yang

The $b$-value in the Gutenberg-Richter (GR) law contains information that is essential for evaluating earthquake hazard and predicting the occurrence of large earthquakes. Estimates of $b$ are often based on seismic events whose magnitude…

Geophysics · Physics 2018-03-19 Jesper Martinsson , Adam Jonsson

Fault ruptures of regular earthquakes typically grow in a self-similar manner, where the radiated energy is proportional to the seismic moment. Their proportionality factor, termed as scaled energy, has been conventionally described as the…

Geophysics · Physics 2024-06-19 Dye SK Sato

The nature of the high-speed rupture or the main shock of the Burridge-Knopoff spring-block model in two dimensions obeying the rate-and-state dependent friction law is studied by means of extensive computer simulations. It is found that…

Geophysics · Physics 2020-01-24 Hikaru Kawamura , Koji Yoshimura , Shingo Kakui

In the present paper, we analyze the signatures of long-range persistence in seismic sequences along Circum-Pacific subduction zones, from Chile to Kermadec, extracted from the National Earthquake Information Center (NEIC) catalog. This…

Geophysics · Physics 2019-12-05 D. B. de Freitas , G. S. França , T. Scheerer , C. Vilar , R. Silva

We present two models for estimating the probabilities of future earthquakes in California, to be tested in the Collaboratory for the Study of Earthquake Predictability (CSEP). The first, time-independent model, modified from Helmstetter et…

Geophysics · Physics 2009-10-28 M. J. Werner , A. Helmstetter , D. D. Jackson , Y. Y. Kagan

We estimate the relative importance of small and large earthquakes for static stress changes and for earthquake triggering, assuming that earthquakes are triggered by static stress changes and that earthquakes are located on a fractal…

Geophysics · Physics 2007-09-06 A. Helmstetter , Y. Y. Kagan , D. D. Jackson

Aftershocks of aftershocks - and their aftershock cascades - substantially contribute to the increased seismicity rate and the associated elevated seismic hazard after the occurrence of a large earthquake. Current state-of-the-art…

Geophysics · Physics 2024-11-07 Leila Mizrahi , Dario Jozinović
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