Jordi Baró

Statistical similarity between the compression of a porous material and earthquakes

It has long been stated that there are profound analogies between fracture experiments and earthquakes; however, few works attempt a complete characterization of the parallels between these so separate phenomena. We study the acoustic emission events produced during the compression of Vycor (SiO(2)). The Gutenberg-Richter law, the modified Omoris law, and the law of aftershock productivity hold for a minimum of 5 decades, are independent of the compression rate, and keep stationary for all the duration of the experiments. The waiting-time distribution fulfills a unified scaling law with a power-law exponent close to 2.45 for long times, which is explained in terms of the temporal variations of the activity rate.

Crackling noise during failure of alumina under compression: the effect of porosity

We study acoustic emission avalanches during the process of failure of porous alumina samples (Al2O3) under compression. Specimens with different porosities ranging from 30% to 59% have been synthesized from a mixture of fine-grained alumina and graphite. The compressive strength as well as the characteristics of the acoustic activity have been determined. The statistical analysis of the recorded acoustic emission pulses reveals, for all porosities, a broad distribution of energies with a fat tail, compatible with the existence of an underlying critical point. In the region of 35%-55% porosity, the energy distributions of the acoustic emission signals are compatible with a power-law behaviour over two decades in energy with an exponent ϵ = 1.8 ± 0.1.

Analysis of power-law exponents by maximum-likelihood maps.

Maximum-likelihood exponent maps have been studied as a technique to increase the understanding and improve the fit of power-law exponents to experimental and numerical simulation data, especially when they exhibit both upper and lower cutoffs. The use of the technique is tested by analyzing seismological data, acoustic emission data, and avalanches in numerical simulations of the three-dimensional random field Ising model. In the different examples we discuss the nature of the deviations observed in the exponent maps and some relevant conclusions are drawn for the physics behind each phenomenon.

Avalanche correlations in the martensitic transition of a Cu–Zn–Al shape memory alloy: analysis of acoustic emission and calorimetry

The existence of temporal correlations during the intermittent dynamics of a thermally driven structural phase transition is studied in a Cu-Zn-Al alloy. The sequence of avalanches is observed by means of two techniques: acoustic emission and high sensitivity calorimetry. Both methods reveal the existence of event clustering in a way that is equivalent to the Omori correlations between aftershocks in earthquakes as are commonly used in seismology.

Avalanche criticality during compression of porcine cortical bone of different ages

Crack events developed during uniaxial compression of cortical bones cut from femurs of developing pigs of several ages (4, 12, and 20 weeks) generate avalanches. These avalanches have been investigated by acoustic emission analysis techniques. The avalanche energies are power-law distributed over more than four decades. Such behavior indicates the absence of characteristic scales and suggests avalanche criticality. The statistical distributions of energies and waiting times depend on the pig age and indicate that bones become stronger, but less ductile, with increasing age. Crack propagation is equally age-dependent. Older pigs show, on average, larger cracks with a time distribution similar to those of aftershocks in earthquakes, while younger pigs show only statistically independent failure events.

Fracking and labquakes

Abstract Local fracture events (or labquakes) during compression of shale rocks have been studied by acoustic emission. They are assumed to simulate quakes induced by hydraulic fracturing (fracking) or other water injection activities. Results are compared with those obtained during compression of porous Vycor glass, which are known to display statistical features very similar to those characterising natural earthquakes. Our acoustic emission results show that labquake energies are power law distributed, which is consistent with recent statistical analysis of fracking-/water injection-induced quakes. The data confirm a Gutenberg–Richter behaviour with exponents larger than the exponents characterising the energy distribution of natural earthquakes. In contrast to natural earthquakes, labquakes in shales do not show time correlations, which indicates that the probability of aftershocks is smaller than in the natural scenario (e.g. during Californian earthquakes).

Labquakes: Acoustic Emission During the Compression of Porous Materials

It has recently been shown [1, 5] that there might be a strong relation between the statistics of the acoustic emission AE detected during the compression of porous materials in the lab and the statistics of real earthquakes. In this extended abstract we discuss details of this comparison and what would be the consequences if the two phenomena turn out to be in the same universality class.