Average crack-front velocity during subcritical fracture propagation in a heterogeneous medium

Lengliné, Olivier; Toussaint, Renaud; Schmittbuhl, Jean; Elkhoury, Jean E.; Ampuero, Jean‐Paul; Tallakstad, Ken Tore; Santucci, Stéphane; Måløy, Knut Jørgen

doi:10.1103/physreve.84.036104

Cited by 35 publications

(57 citation statements)

References 53 publications

(99 reference statements)

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“…This approach assumes that the physics behind both scaling regimes is describable within the same top-down model. Bonamy et al [17] and Laurson et al [16] have considered the crackling dynamics [18] of the fluctuating line model finding behavior consistent with the experimental measurements [11][12][13][14].…”

Section: Introductionmentioning

confidence: 51%

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Local dynamics of a randomly pinned crack front: a numerical study

2014

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We investigate numerically the dynamics of crack propagation along a weak plane using a model consisting of fibers connecting a soft and a hard clamp. This bottom-up model has previously been shown to contain the competition of two crack propagation mechanisms: coalescence of damage with the front on small scales and pinned elastic line motion on large scales. We investigate the dynamical scaling properties of the model, both on small and large scale. The model results compare favorable with experimental results on stable crack propagation between sintered PMMA plates.

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Section: Introductionmentioning

confidence: 51%

“…Both the distribution of areas and velocities were power laws. In two later papers, Tallakstad et al [13] and Lengliné et al [14], have continued and refined this work.…”

Section: Introductionmentioning

confidence: 95%

Local dynamics of a randomly pinned crack front: a numerical study

2014

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“…Also, large injection pressure may lead to subcritical crack growth and change p-value [40,42,80]. The prefactor of this law, corresponding to the characteristic time τ = 0.004 s for this diffusion, can thus be related to the porosity and permeability of the medium around the channels, the viscosity and compressibility of the fluid, and the density of failing sites leading to events.…”

Section: Physical Explanation Of the Experimentsmentioning

confidence: 99%

“…Valès et al used acoustic emissions to track strain heterogeneities in Argilite rocks [39]. Some studies have started to look at sources directly, both optically and acoustically, in various problems to characterize the different source mechanisms [40][41][42][43][44]. Farin et al conducted some experimental studies on rockfalls and avalanches where he monitors those phenomena using acoustic emissions [45].…”

Section: Introductionmentioning

confidence: 99%

Bridging aero-fracture evolution with the characteristics of the acoustic emissions in a porous medium

et al. 2015

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The characterization and understanding of rock deformation processes due to fluid flow is a challenging problem with numerous applications. The signature of this problem can be found in Earth Science and Physics, notably with applications in natural hazard understanding, mitigation or forecast (e.g., earthquakes, landslides with hydrological control, volcanic eruptions), or in industrial applications such as hydraulic-fracturing, steam-assisted gravity drainage, CO 2 sequestration operations or soil remediation. Here, we investigate the link between the visual deformation and the mechanical wave signals generated due to fluid injection into porous medium. In a rectangular Hele-Shaw Cell, side air injection causes burst movement and compaction of grains along with channeling (creation of high permeability channels empty of grains). During the initial compaction and emergence of the main channel, the hydraulic fracturing in the medium generates a large non-impulsive low frequency signal in the frequency range 100 Hz-10 kHz. When the channel network is established, the relaxation of the surrounding medium causes impulsive aftershock-like events, with high frequency (above 10 kHz) acoustic emissions, the rate of which follows an Omori Law. These signals and observations are comparable to seismicity induced by fluid injection. Compared to the data obtained during hydraulic fracturing operations, low frequency seismicity with evolving spectral characteristics have also been observed. An Omori-like decay of microearthquake rates is also often observed after injection shut-in, with a similar exponent p ≈ 0.5 as observed here, where the decay rate of aftershock follows a scaling law dN/dt ∝ (t − t 0 ) −p . The physical basis for this modified Omori law is explained by pore pressure diffusion affecting the stress relaxation.

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“…The setup being at imposed displacement, the crack propagation is stable and the average rupture velocity is controlled by the loading rate in the subcritical regime. Lastly, the loading rate is reduced, and the fracture propagates owing to the relaxation of the rupture at a decreasing speed (Lengliné et al 2011a). …”

Section: A Subcritical Rupture Propagationmentioning

confidence: 99%

Induced seismicity in EGS reservoir: the creep route

et al. 2014

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Background: Observations in enhanced geothermal system (EGS) reservoirs of induced seismicity and slow aseismic slip ruptures on related faults suggest a close link between the two phenomena. Methods: We base our approach on the case study of the EGS site of Soultz-sous-Forêts where seismicity has been shown in particular during the 1993 stimulation to be induced not only by fluid pressure increase during stimulation but also by aseismic creeping effects. We propose an interpretation of the field observations of induced seismicity using a laboratory experiment that explores, in great detail, the deformation processes of heterogeneous interfaces in the brittle-creep regime. We track the evolution of an interfacial crack over 7 orders of magnitude in time and 5 orders of magnitude in space using optical and acoustic sensors. Results: We show that a creep route for induced seismicity is possible when heterogeneities exist along the fault. Indeed, seismic event occurrences in time and space are in strong relation with the development of the aseismic motion recorded during the experiments. We also infer the statistical properties of the organization of the seismicity that shows strong space-time clustering. Conclusions: We conclude that aseismic processes might drive seismicity besides the classical effects related to fluid pressure and show that a creep route for induced seismicity is possible.

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Average crack-front velocity during subcritical fracture propagation in a heterogeneous medium

Cited by 35 publications

References 53 publications

Local dynamics of a randomly pinned crack front: a numerical study

Local dynamics of a randomly pinned crack front: a numerical study

Bridging aero-fracture evolution with the characteristics of the acoustic emissions in a porous medium

Induced seismicity in EGS reservoir: the creep route

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