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Several recent works point out that the crowd of small unobservable earthquakes (with magnitudes below the detection threshold $m_d$) may play a significant and perhaps dominant role in triggering future seismicity. Using the ETAS branching…

Geophysics · Physics 2007-12-04 A. Saichev , D. Sornette

Short and long range interactions between earthquakes are attracting increasing interest. Scale invariant properties of seismicity in time, space and energy argue for the presence of complex triggering mechanisms where, like a cascade…

Geophysics · Physics 2007-05-23 Patrizia Tosi , Valerio De Rubeis , Vittorio Loreto , Luciano Pietronero

Aftershock occurrence is characterized by scaling behaviors with quite universal exponents. At the same time, deviations from universality have been proposed as a tool to discriminate aftershocks from foreshocks. Here we show that the…

Geophysics · Physics 2020-09-09 Giuseppe Petrillo , Eugenio Lippiello , François Landes , Alberto Rosso

A modified Carlson-Langer model for earthquakes is proposed, which includes nonlinear visco-elasticity. Several aftershocks are generated after the main shock owing to the damping of the additional visco-elastic force. Both the…

Geophysics · Physics 2015-06-11 Hidetsugu Sakaguchi , Kazuki Okamura

We estimate the rate of aftershocks triggered by a heterogeneous stress change, using the rate-and-state model of Dieterich [1994].We show that an exponential stress distribution Pt(au) ~exp(-tautau_0) gives an Omori law decay of…

Geophysics · Physics 2007-05-23 Agnes Helmstetter , Bruce E. Shaw

Earthquakes and aftershock sequences follow several empirical scaling laws: One of these laws is Bath's law for the magnitude of the largest aftershock. In this work, Modified Form of Bath's Law and its application to KOERI data have been…

Geophysics · Physics 2007-05-23 S. E. Yalcin , M. L. Kurnaz

By analyzing a southern California earthquake catalog, Davidsen and Paczuski [Phys. Rev. Lett. 94, 048501 (2005)] claim to have found evidence contradicting the theory of aftershock zone scaling in favor of scale-free statistics. We present…

Geophysics · Physics 2009-11-13 M. J. Werner , D. Sornette

The elementary theory of relaxation of the source cooling down after the main shock of an earthquake is presented axiomatically. The names of the objects under study are given and the relationships between them are determined. A new basic…

Geophysics · Physics 2024-10-18 A. V. Guglielmi

We present an analytical solution and numerical tests of the epidemic-type aftershock (ETAS) model for aftershocks, which describes foreshocks, aftershocks and mainshocks on the same footing. The occurrence rate of aftershocks triggered by…

Statistical Mechanics · Physics 2015-06-24 A. Helmstetter , D. Sornette

We evaluated the efficiency of various models in describing the time decay of aftershock rate of 47 simple sequences occurred in California (37) from 1933 to 2004 and in Italy (10) from 1976 to 2004. We compared the models by the corrected…

Geophysics · Physics 2009-11-11 Barbara Lolli , Paolo Gasperini

We propose a new metric to quantify the correlation between any two earthquakes. The metric consists of a product involving the time interval and spatial distance between two events, as well as the magnitude of the first one. According to…

Statistical Mechanics · Physics 2007-05-23 Marco Baiesi , Maya Paczuski

Using the ETAS branching model of triggered seismicity, we apply the formalism of generating probability functions to calculate exactly the average difference between the magnitude of a mainshock and the magnitude of its largest aftershock…

Geophysics · Physics 2009-11-11 A. Saichev , D. Sornette

The acoustic emission activity associated with recent rock fracture experiments under different conditions has indicated that some features of event-event triggering are independent of the details of the experiment and the materials used…

Geophysics · Physics 2018-01-17 Jordi Baró , Jörn Davidsen

For a long time, it has been known that the power spectrum of Barkhausen noise had a power-law decay at high frequencies. Up to now, the theoretical predictions for this decay have been incorrect, or have only applied to a small set of…

Disordered Systems and Neural Networks · Physics 2009-10-31 Matthew C. Kuntz , James P. Sethna

Non-inertial afterslip has been inferred to occur following large earthquakes. An explanation for this slow slip phenomenon is that coseismically generated stresses induce sliding on parts of a fault surface with velocity-strengthening…

Geophysics · Physics 2023-08-04 Brendan J. Meade

Omori Law describes the evolution of the aftershocks of a strong earthquake. Established at the end of the century before last, it is characterized by the beauty of its form, quite definite clarity, as a result of which it still attracts…

Geophysics · Physics 2022-01-14 A. V. Guglielmi , B. I. Klain , A. D. Zavyalov , O. D. Zotov

We find the static displacement, stress, strain and the modified Columb failure stress produced in an elastic medium by a finite size rectangular fault after its dislocation with uniform stress drop but a non uniform dislocation on the…

Geophysics · Physics 2007-05-23 R. Console , F. Catalli

We analyzed the correlations among the parameters of the Reasenberg and Jones (1989) formula describing the aftershock rate after a mainshock as a function of time and magnitude, on the basis of parameter estimates made in previous works…

Geophysics · Physics 2007-05-23 Paolo Gasperini , Barbara Lolli

Statistical properties of earthquakes are studied both by the analysis of real earthquake catalog of Japan and by numerical computer simulations of the spring-block model in both one and two dimensions. Particular attention is paid to the…

Other Condensed Matter · Physics 2012-01-27 Hikaru Kawamura

We study how a stress perturbation generated by a mainshock affects a population of faults obeying a rate-state friction law. Depending on the model parameters and on the initial state, the fault exhibits aftershocks, slow earthquakes, or…

Geophysics · Physics 2007-05-23 Agnes Helmstetter , Bruce E. Shaw