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Omori’s law: a note on the history of geophysics

Physics-Uspekhi, 2017
Abstract In the late nineteenth century, the Japanese seismologist Omori discovered the first law of earthquake physics, which states that the rate of aftershocks decreases hyperbolically with time. Over the years since then, there has been a vast amount of literature on this law, and the significance of its discovery has been ...
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Bulk-friction modeling of afterslip and the modified Omori law

Tectonophysics, 1997
Abstract Afterslip data from the Superstition Hills fault in southern California, a creep event on the same fault, the modified Omori law, and cumulative moments from aftershocks of the 1957 Aleutian Islands earthquake all indicate that the original formulation by Dieterich (1981) [Constitutive properties of faults with simulated gouge. AGU, Geophys.
Leif Wennerberg, Robert V. Sharp
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Euler's transform and a generalized Omori's law

Physics Letters A, 2006
The self-replication process of the statistical events generated by an original, main event and described by a finite distribution leads to a generalized Omori distribution singular at origin. The two distributions are related to each other by Euler's transform.
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A Stochastic Two-node Stress Transfer Model Reproducing Omori's Law

Pure and Applied Geophysics, 2003
— We present an alternative to the epidemic type aftershock sequence (ETAS) model of Ogata (1988). The continuous time two-node network stress release/transfer Markov model is able to reproduce the (modified) Omori law for aftershock frequencies. One node (denoted by A) is loaded by external tectonic forces at a constant rate, with `events' (main ...
K. Borovkov, M. S. Bebbington
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How Likely Does an Aftershock Sequence Conform to a Single Omori Law Behavior?

Seismological Research Letters, 2018
The most popular aftershock forecasting model is based on the modified Omori law (MOL), which describes the expected decay of the aftershock given the mainshock's magnitude. Although such a model is still widely used for operational purposes, it is not unusual that one or more aftershocks break the MOL behavior.
Spassiani, I., Marzocchi, W.
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Omori law for foreshocks and aftershocks in a realistic earthquake model

EPL (Europhysics Letters), 2019
We study a physical model for earthquakes which extends the standard spring-block model. It is able to quantitatively describe the observations which detect differences between the statistics of foreshocks and aftershocks and the properties of main shocks.
O. M. Braun, M. Peyrard
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To the Strategy Of Informational Impacts In Cyberspace By Omori’s Law

2019 3rd International Conference on Advanced Information and Communications Technologies (AICT), 2019
This work demonstrates an approach how to apply cyber impacts to make desirable resonance effective in the targeted network segment, wholly covering dedicated auditory. The peculiarities of maximization (on demand) the impacts to make the resonance peak-factor so high up to be prevalent on the specified period of the time, until respective structure ...
Ivan Demydov   +3 more
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Cumulative Benioff strain-release, modified Omori's law and transient behaviour of rocks

Tectonophysics, 2006
Abstract Irreversible thermodynamic theories with internal state variables can be used to derive a general constitutive law for both transient and steady-state behaviours of rocks. This constitutive law can represent the concepts of damage and damage evolution in either the fibre-bundle model or continuum damage mechanics. We have previously proposed
Yusuke Kawada, Hiroyuki Nagahama
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Bayesian estimation of the Modified Omori Law parameters for the Iranian Plateau

Journal of Seismology, 2016
The forecasting of large aftershocks is a preliminary and critical step in seismic hazard analysis and seismic risk management. From a statistical point of view, it relies entirely on the estimation of the properties of aftershock sequences using a set of laws with well-defined parameters.
S. Ommi, H. Zafarani, V. B. Smirnov
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Omori’s Law Applied to Mining-Induced Seismicity and Re-entry Protocol Development

Pure and Applied Geophysics, 2009
This paper describes a detailed study of the Modified Omori’s law n(t) = K/(c + t) p applied to 163 mining-induced aftershock sequences from four different mine environments in Ontario, Canada. We demonstrate, using a rigorous statistical analysis, that this equation can be adequately used to describe the decay rate ...
J. A. Vallejos, S. D. McKinnon
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