Phase synchronization of slips by periodical (tangential and normal) mechanical forcing in the spring-slider model

Varamashvili, Nodar; Chélidzé, T.; Lursmanashvili, O.

doi:10.2478/s11600-008-0006-1

Cited by 11 publications

(11 citation statements)

References 16 publications

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“…In particular, static stress transfer between two seismogenic patches results in a switch from periodic to random behaviour, rarely synchronized (Sugiura et al, 2014;Varamashvili et al, 2008), as suggested by numerical models (e.g. Kaneko et al, 2010;Tullis et al, 2012a, b) and experimental results from the Rosenau et al (2010) set-up shown in Fig.…”

Section: Earthquake Statisticsmentioning

confidence: 89%

“…One of the few is that of King (1975King ( , 1991King ( , 1994, who Figure 2. Examples of spring-slider models: (a) King's circular-chain, multiple spring-slider set-up and example of rupture (modified after King 1975King , 1991King , 1994, reproduced and adapted with permission from Springer); (b) Schulze ring-shear tester used to characterize frictional properties of granular materials in this study (modified after Schulze, 1994); (c) spring-slider set-up after Heslot et al (1994) (adapted with permission from Heslot et al (1994), copyrighted by the American Physical Society); (d) spring-slider set-up used by Varamashvili et al (2008) (modified from there); (e) set-up of see-through experiments by Nasuno et al (1998) (adapted with permission from Nasuno et al (1998), copyrighted by the American Physical Society); (f) double-direct shear configuration used to shear rods in various configurations by Knuth and Marone (2007) (modified from there); (g) simple shear set-up and visualization of force bridges in granular media by seethrough experiments of Daniels and Hayman (2008) (modified from there).…”

Section: Spring-slider Modelsmentioning

confidence: 99%

“…2c). More recent studies have been realized by Varamashvili et al (2008) to study the effect of external forcing (Fig. 2d) and by Popov et al (2012) to study the onset of frictional instability.…”

Section: Spring-slider Modelsmentioning

confidence: 99%

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Analogue earthquakes and seismic cycles: experimental modelling across timescales

2017

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Abstract. Earth deformation is a multi-scale process ranging from seconds (seismic deformation) to millions of years (tectonic deformation). Bridging short-and long-term deformation and developing seismotectonic models has been a challenge in experimental tectonics for more than a century. Since the formulation of Reid's elastic rebound theory 100 years ago, laboratory mechanical models combining frictional and elastic elements have been used to study the dynamics of earthquakes. In the last decade, with the advent of high-resolution monitoring techniques and new rock analogue materials, laboratory earthquake experiments have evolved from simple spring-slider models to scaled analogue models. This evolution was accomplished by advances in seismology and geodesy along with relatively frequent occurrences of large earthquakes in the past decade. This coincidence has significantly increased the quality and quantity of relevant observations in nature and triggered a new understanding of earthquake dynamics. We review here the developments in analogue earthquake modelling with a focus on those seismotectonic scale models that are directly comparable to observational data on short to long timescales. We lay out the basics of analogue modelling, namely scaling, materials and monitoring, as applied in seismotectonic modelling. An overview of applications highlights the contributions of analogue earthquake models in bridging timescales of observations including earthquake statistics, rupture dynamics, ground motion, and seismic-cycle deformation up to seismotectonic evolution.

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Section: Earthquake Statisticsmentioning

confidence: 89%

Section: Spring-slider Modelsmentioning

confidence: 99%

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Analogue earthquakes and seismic cycles: experimental modelling across timescales

2017

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“…These models can only be applied conceptually to nature. Spring-slider sensu stricto Burridge and Knopoff (1967), King (1975King ( , 1991King ( , 1994, Heslot et al (1994), Popov et al (2012), Varamashvili et al (2008) Burridge and Knopoff (1967), Erickson et al (2011), Cao and Aki (1984), Schmittbuhl et al (1996), Carlson and Langer (1989), Carlson et al (1991), Gu and Wong (1991), Wang (2012), Abe and Kato (2013), Kawamura (2006, 2008), Narkounskaia and Turcotte (1992), Saito and Matsukawa (2007), Dieterich (1972a), Aragon and Jagla (2013), Baumberger et al (1994) Statistics, scaling Pipping et al (2016), Kaneko et al (2010) Seismic cycle Thrust/normal fault 600 M. Rosenau et al: Analogue earthquakes and seismic cycles Table 2. Dimensionless numbers used in analogue earthquake models (see text for discussion).…”

Section: Experimental Approaches Overviewmentioning

confidence: 99%

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Rosenau¹

2017

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Earth deformation is a multi-scale process ranging from seconds (seismic deformation) to millions of years (tectonic deformation). Bridging short-and long-term deformation and developing seismotectonic models has been a challenge in experimental tectonics for more than a century. Since the formulation of Reid's elastic rebound theory 100 years ago, laboratory mechanical models combining frictional and elastic elements have been used to study the dynamics of earthquakes. In the last decade, with the advent of high-resolution monitoring techniques and new rock analogue materials, laboratory earthquake experiments have evolved from simple spring-slider models to scaled analogue models. This evolution was accomplished by advances in seismology and geodesy along with relatively frequent occurrences of large earthquakes in the past decade. This coincidence has significantly increased the quality and quantity of relevant observations in nature and triggered a new understanding of earthquake dynamics. We review here the developments in analogue earthquake modelling with a focus on those seismotectonic scale models that are directly comparable to observational data on short to long timescales. We lay out the basics of analogue modelling, namely scaling, materials and monitoring, as applied in seismotectonic modelling. An overview of applications highlights the contributions of analogue earthquake models in bridging timescales of observations including earthquake statistics, rupture dynamics, ground motion, and seismic-cycle deformation up to seismotectonic evolution.

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“…We also investigated synchronization of the same spring-slider system under weak periodic mechanical forcing [10,34]. Under different experimental conditions the influence of weak mechanical sinusoidal vibrations on the stick-slip events was studied by [32].…”

Section: Mechanical Forcingmentioning

confidence: 99%

High-order synchronization of stick–slip process: experiments on spring–slider system

et al. 2009

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In the last years it has been shown that the synchronization and triggering of dynamic events by weak external forcing is ubiquitous and is observed in biological systems, lasers, electronic networks, etc. In the present paper, new experimental data on the phase synchronization in frictional system induced by a weak electromagnetic or mechanical periodic forcing are analyzed. For quantitative analysis of stick-slip time series, modern tools of nonlinear dynamics were used. Stick-slip events were identified by recording acoustic emissions, which accompany slip displacements. The spring-slider system in stick-slip regime is considered as a proxy of active tectonic fault, generating earthquakes.The effect of high-order synchronization of stickslip events by weak electromagnetic or mechanical periodic forcing, as well as the phenomenon of phase time delay of the synchronized slip events behind the forcing phase, was discovered. These findings can help to find new regularities in seismic time series.

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Phase synchronization of slips by periodical (tangential and normal) mechanical forcing in the spring-slider model

Cited by 11 publications

References 16 publications

Analogue earthquakes and seismic cycles: experimental modelling across timescales

Analogue earthquakes and seismic cycles: experimental modelling across timescales

Reply to Review by Anonymous

High-order synchronization of stick–slip process: experiments on spring–slider system

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