The role of driving rate in scaling characteristics of rock fracture

Kuksenko, V. S.; Tomilin, N. G.; Chmel, A. E.

doi:10.1088/1742-5468/2005/06/p06012

Cited by 19 publications

(15 citation statements)

References 31 publications

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“…Events recorded near global failure show a power law decay with an exponent distinctively smaller than those events recorded far away from the breakdown point. Interestingly, recent experiments on granite under different loading conditions have shown a qualitative agreement with this theoretical observation [16]. Should this be a robust and universal property it could be potentially used as a tool to easily diagnose the damage in loaded materials.…”

Section: Introductionsupporting

confidence: 66%

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Energy dissipation statistics in the random fuse model

Picallo

López

2008

Phys. Rev. E

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We study the statistics of the dissipated energy in the two-dimensional random fuse model for fracture under different imposed strain conditions. By means of extensive numerical simulations we compare different ways to compute the dissipated energy. In the case of an infinitely slow driving rate (quasistatic model), we find that the probability distribution of the released energy shows two different scaling regions separated by a sharp energy crossover. At low energies, the probability of having an event of energy E decays as approximately E(-1/2), which is robust and independent of the energy quantifier used (or lattice type). At high energies, fluctuations dominate the energy distribution, leading to a crossover to a different scaling regime, approximately E(-2.75), whenever the released energy is computed over the whole system. On the contrary, strong finite-size effects are observed if we consider only the energy dissipated at microfractures. In a different numerical experiment, the quasistatic dynamics condition is relaxed, so that the system is driven at finite strain load rates, and we find that the energy distribution decays as P(E) approximately E(-1) for all the energy range.

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Section: Introductionsupporting

confidence: 66%

“…[17] for a recent review). The distribution of quiet times between AE events also obeys a power law analog of the Omori law for earthquakes occurrence [8,10,11,12,16,18,19]. Scaleinvariant behavior is also observed in the height-height correlations of fracture surfaces [17].…”

Section: Introductionmentioning

confidence: 99%

Energy dissipation statistics in the random fuse model

Picallo

López

2008

Phys. Rev. E

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“…Crack coalescence (see section 3.1.2) is a possible explanation for this change in the distribution of waiting times from power law to exponential behavior (Figure b). The random activation of different damage clusters when approaching the global failure causes a transient loss of the temporal correlation of the individual fracture events [ Kuksenko et al , ]. This effect confirms the existence of a hierarchical structure in the fracture process in the glacier.…”

Section: Instabilities Of Cold Glaciersmentioning

confidence: 91%

Avalanching glacier instabilities: Review on processes and early warning perspectives

Faillettaz

Funk

Vincent

2015

Reviews of Geophysics

102

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Avalanching glacier instabilities are gravity-driven rupture phenomena that might cause major disasters, especially when they are at the origin of a chain of processes. Reliably forecasting such events combined with a timely evacuation of endangered inhabited areas often constitute the most efficient action. Recently, considerable efforts in monitoring, analyzing, and modeling such phenomena have led to significant advances in destabilization process understanding, improving early warning perspectives. The purpose of this paper is to review the recent progress in this domain. Three different types of instabilities can be identified depending on the thermal properties of the ice/bed interface. If cold (1), the maturation of the rupture is associated with a typical time evolution of surface velocities and passive seismic activity. A prediction of the final break off is possible using these precursory signs. For the two other types, water plays a key role in the development of the instability. If the ice/bed interface is partly temperate (2), the presence of meltwater may reduce the basal resistance, which promotes the instability. No clear and easily detectable precursory signs are known in this case, and the only way to infer any potential instability is to monitor the temporal evolution of the thermal regime. The last type of instability (3) concerns steep temperate glacier tongues switching for several days/weeks during the melting season into a so-called "active phase" followed in rare cases by a major break-off event. Although the prediction of such events is still far from being achievable, critical conditions promoting the final instability can be identified.

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“…It was suggested in the earlier literature that "the mechanism of EQs is apparently some sort of laboratory fracture process" (Mogi, 1962a(Mogi, , b, 1968(Mogi, , 1985Ohnaka, 1983;Ohnaka and Mogi, 1982;Scholz, 1968Scholz, , 1990Scholz et al, 1973;Sobolev, 1995;Ponomarev et al, 1997;Ohnaka and Shen, 1999;Sobolev and Ponomarev, 2003;Muto et al, 2007;Kuksenko et al, 1996Kuksenko et al, , 2005Kuksenko et al, , 2007Kuksenko et al, , 2009Lei and Satoh, 2007). Recently, the aspect of self-affine nature of faulting and fracture is widely documented from analyses of data from both field observations and laboratory experiments in the spatial, temporal, and energy domains (Mandelbrot, 1982;Mandelbrot et al, 1984;Zavyalov and Sobolev, 1988;Gabrielov et al, 1999;Kuksenko et al, 2007;Davidsen and Schuster, 2002;Lockner et al, 1992;Diodati et al, 1991;Kapiris et al, 2004).…”

Section: Introductionmentioning

confidence: 99%

On the puzzling feature of the silence of precursory electromagnetic emissions

Eftaxias

Potirakis

Chélidzé

2013

Nat. Hazards Earth Syst. Sci.

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Abstract. It has been suggested that fracture-induced MHzkHz electromagnetic emissions (EME), which emerge from a few days up to a few hours before the main seismic shock occurrence permit a real-time monitoring of the damage process during the last stages of earthquake preparation, as it happens at the laboratory scale. Despite fairly abundant evidence, electromagnetic (EM) precursors have not been adequately accepted as credible physical phenomena. These negative views are enhanced by the fact that certain "puzzling features" are repetitively observed in candidate fractureinduced pre-seismic EME. More precisely, EM silence in all frequency bands appears before the main seismic shock occurrence, as well as during the aftershock period. Actually, the view that "acceptance of "precursive" EM signals without convincing co-seismic signals should not be expected" seems to be reasonable. In this work we focus on this point. We examine whether the aforementioned features of EM silence are really puzzling ones or, instead, reflect well-documented characteristic features of the fracture process, in terms of universal structural patterns of the fracture process, recent laboratory experiments, numerical and theoretical studies of fracture dynamics, critical phenomena, percolation theory, and micromechanics of granular materials. Our analysis shows that these features should not be considered puzzling.

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The role of driving rate in scaling characteristics of rock fracture

Cited by 19 publications

References 31 publications

Energy dissipation statistics in the random fuse model

Energy dissipation statistics in the random fuse model

Avalanching glacier instabilities: Review on processes and early warning perspectives

On the puzzling feature of the silence of precursory electromagnetic emissions

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