A model for aperiodicity in earthquakes

Erickson, Brittany A.; Birnir, Björn; Lavallée, D.

doi:10.5194/npg-15-1-2008

Cited by 68 publications

(94 citation statements)

References 39 publications

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“…This type of state evolution law was used in numerical simulations by YOSHIDA and KATO (2003), HE (2003) and ERICKSON et al (2008). Because the sliding behaviour and the condition for the occurrence of unstable slip are different for the two types of state evolution law (MARONE 1998;RANJITH and RICE 1999), the simulation results in the present study cannot be directly compared with those using the slip type of the state evolution law.…”

Section: Modelmentioning

confidence: 42%

“…A singledegree-of-freedom spring-block model has been used with rate-and state-dependent friction to investigate the details of the sliding behaviour and stability in the system concerned (RICE and TSE 1986;GU and WONG 1991). ERICKSON et al (2008) showed that a singledegree-of-freedom spring-block model exhibits complex slip behaviour when the steady-state friction shows extremely velocity weakening. MA and HE (2001) used a two-degree-of-freedom springblock model with a rate-and state-dependent friction law to examine complex sliding processes, and found that period-doubling bifurcation occurred for some friction parameters, where large events and small events occurred alternately.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Complex Earthquake Cycle Simulations Using a Two-Degree-of-Freedom Spring-Block Model with a Rate- and State-Friction Law

Abe

Kato

2012

Pure Appl. Geophys.

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Abstract-Numerical simulations of complex earthquake cycles are conducted using a two-degree-of-freedom spring-block model with a rate-and state-friction law, which has been supported by laboratory experiments. The model consisted of two blocks coupled to each other and connected by elastic springs to a constant-velocity, moving driver. By widely and systematically varying the model parameters, various slip patterns were obtained, including the periodic recurrence of seismic and aseismic slip events, and several types of chaotic behaviour. The transition in the slip pattern from periodic to chaotic is examined using bifurcation diagrams. The model system exhibits typical period-doubling sequences for some parameter ranges, and attains chaotic motion. Simple relationships are found in iteration maps of the recurrence intervals of simulated earthquakes, suggesting that the simulated slip behaviour is deterministic chaos. Time evolutions of the cumulative slip distance in chaotic slip patterns are well approximated by a time-predictable model. In some cases, both seismic and aseismic slip events occur at a block, and aseismic slip events complicate the earthquake recurrence patterns.

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Section: Modelmentioning

confidence: 42%

Section: Introductionmentioning

confidence: 99%

Complex Earthquake Cycle Simulations Using a Two-Degree-of-Freedom Spring-Block Model with a Rate- and State-Friction Law

Abe

Kato

2012

Pure Appl. Geophys.

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“…Along those lines, it should be noted that period-doubling bifurcation cascades have been reported for systems similar to the one studied here (e.g. [61,62]). However, from a practical point of view, measurements of friction are generally rather noisy, and it is far from clear whether complicated transitions, including chaos, could be reliably detected.…”

Section: Case Studies (A) Rate-and-state Friction and The Mass-springmentioning

confidence: 94%

Are there reliable constitutive laws for dynamic friction?

Woodhouse

Putelat

McKay

2015

Phil. Trans. R. Soc. A.

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Structural vibration controlled by interfacial friction is widespread, ranging from friction dampers in gas turbines to the motion of violin strings. To predict, control or prevent such vibration, a constitutive description of frictional interactions is inevitably required. A variety of friction models are discussed to assess their scope and validity, in the light of constraints provided by different experimental observations. Three contrasting case studies are used to illustrate how predicted behaviour can be extremely sensitive to the choice of frictional constitutive model, and to explore possible experimental paths to discriminate between and calibrate dynamic friction models over the full parameter range needed for real applications.

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“…Change in the friction was studied as a function of displacement and velocity at a variation of the stiffness coefficient in the rate-and-state equation. A similar approach was implemented by Erickson et al (2008); they examined an appearance of chaotic solutions in the one-parameter velocitydependent friction equation.…”

Section: Introductionmentioning

confidence: 99%

Non-linear effects of pore pressure increase on seismic event generation in a multi-degree-of-freedom rate-and-state model of tectonic fault sliding

Turuntaev

Riga

2017

Nonlin. Processes Geophys.

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Abstract. The influence of fluid injection on tectonic fault sliding and seismic event generations was studied by a multidegree-of-freedom rate-and-state friction model with a twoparametric friction law. A system of blocks (up to 25 blocks) elastically connected to each other and connected by elastic springs to a constant-velocity moving driver was considered. Variation of the pore pressure due to fluid injection led to variation of effective stress between the first block and the substrate. Initially the block system was in a steady-sliding state; then, its state was changed by the pore pressure increase. The influence of the model parameters (number of blocks, spring stiffness, velocity weakening parameter) on the seismicity variations was considered. Various slip patterns were obtained and analysed.

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A model for aperiodicity in earthquakes

Cited by 68 publications

References 39 publications

Complex Earthquake Cycle Simulations Using a Two-Degree-of-Freedom Spring-Block Model with a Rate- and State-Friction Law

Complex Earthquake Cycle Simulations Using a Two-Degree-of-Freedom Spring-Block Model with a Rate- and State-Friction Law

Are there reliable constitutive laws for dynamic friction?

Non-linear effects of pore pressure increase on seismic event generation in a multi-degree-of-freedom rate-and-state model of tectonic fault sliding

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