A model for complex aftershock sequences

Moreno, Yamir; Correig, Antoni M.; Gómez, J.; Pacheco, A. F.

doi:10.1029/2000jb900396

Cited by 32 publications

(86 citation statements)

References 44 publications

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“…The time delays associated with nucleation and growth of a single crack are often attributed to stress corrosion. A number of authors have applied this explanation to the time delays associated with aftershocks (DAS and SCHOLZ, 1981b;YAMASHITA and KNOPOFF, 1987;MARCELLINI, 1997;MORENO et al, 2001). But this association has not been quantified.…”

Section: Discussionmentioning

confidence: 99%

Aftershock Statistics

Shcherbakov

Turcotte

Rundle

2005

Pure appl. geophys.

134

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The statistical properties of aftershock sequences are associated with three empirical scaling relations: (1) Gutenberg-Richter frequency-magnitude scaling, (2) Ba˚th's law for the magnitude of the largest aftershock, and (3) the modified Omori's law for the temporal decay of aftershocks. In this paper these three laws are combined to give a relation for the aftershock decay rate that depends on only a few parameters. This result is used to study the temporal properties of aftershock sequences of several large California earthquakes. A review of different mechanisms and models of aftershocks are also given. The scale invariance of the process of stress transfer caused by a main shock and the heterogeneous medium in which aftershocks occur are responsible for the occurrence of scaling laws. We suggest that the observed partitioning of energy could play a crucial role in explaining the physical origin of Ba˚th's law. We also study the stress relaxation process in a simple model of damage mechanics and find that the rate of energy release in this model is identical to the rate of aftershock occurrence described by the modified Omori's law.

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Section: Discussionmentioning

confidence: 99%

Aftershock Statistics

Shcherbakov

Turcotte

Rundle

2005

Pure appl. geophys.

134

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“…The fibre replacement hypothesis has been previously used by Zapperi et al (1997), Kun et al (2000) and Moreno et al (2001). The fibre replacement hypothesis has been previously used by Zapperi et al (1997), Kun et al (2000) and Moreno et al (2001).…”

Section: Fibr E -B U N D L E M O D E Lmentioning

confidence: 99%

“…Hemmer & Hansen 1992;Moreno et al 2001;Turcotte et al 2003). The continuously deformed material is hypothesized to include heterogeneity that influences the motion on dislocations.…”

Section: Introductionmentioning

confidence: 99%

Damage and rheology in a fibre-bundle model

Nanjo

Turcotte

2005

Geophysical Journal International

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SUMMARY In this paper, we consider the continuum deformation of the brittle upper continental lithosphere, utilizing the fibre‐bundle model. Fibre failure is assumed to be a thermally activated process. We further assume that a failed fibre is replaced by a new unstressed fibre. This replacement is analogous to a migration of a dislocation, an earthquake rupture or a microcrack. We derive a non‐Newtonian power‐law viscous rheology. This is the rheology that has been used to explain the lithospheric deformation in Tibet. We also constrain the parameters in our model using aftershocks. A major advantage of our upper continental rheology is that it has a strong temperature dependence. We then use this model to define the strength envelope of the continental lithosphere. Our results suggest that a damage model is appropriate for the continuum rheology of the upper continental lithosphere.

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“…One can consider two equivalent approaches to the dynamic FBM [25,26,27]. The time elapsed until the final collapse of the system is the lifetime or time to failure of the bundle.…”

Section: The Stochastic Modelmentioning

confidence: 99%

“…In the probabilistic approach [26,27], it is considered that in a time step all the intact elements have the same mean time to failure. The element that breaks in the time interval between two successive failures is selected by chance and thus the fiber whose probability of breaking (a function of the load it bears) is the largest is more likely to fail.…”

Section: The Stochastic Modelmentioning

confidence: 99%

Time evolution of damage under variable ranges of load transfer

et al. 2003

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We study the time evolution of damage in a fiber bundle model in which the range of interaction of fibers varies through an adjustable stress transfer function recently introduced. We find that the lifetime of the material exhibits a crossover from mean field to short range behavior as in the static case. Numerical calculations showed that the value at which the transition takes place depends on the system's disorder. Finally, we have performed a microscopic analysis of the failure process. Our results confirm that the growth dynamics of the largest crack is radically different in the two limiting regimes of load transfer during the first stages of breaking.

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A model for complex aftershock sequences

Cited by 32 publications

References 44 publications

Aftershock Statistics

Aftershock Statistics

Damage and rheology in a fibre-bundle model

Time evolution of damage under variable ranges of load transfer

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