A new model for the fracture energy budget of phreatomagmatic explosions

2004 ◽  
Vol 129 (1-3) ◽  
pp. 99-108 ◽  
Author(s):  
Hannes Raue
2020 ◽  
Author(s):  
Fabian Barras

<p>Earthquake ruptures are driven by the dynamic weakening of frictional strength along faults. This drop of frictional stress toward a residual level is at the origin of the slip-weakening model, which became a well-established framework to study seismic ruptures and their energy budget. In this framework, the part of frictional energy associated to the rupture propagation (i.e. the fracture energy) corresponds to the excess of frictional dissipation on top of the residual stress, also referred as the breakdown work<span></span>.</p><p>In this study, we test this energy partition for friction models that do not impose the magnitude of the residual stress. For example, rate-and-state models are a class of generic friction laws for which the residual stress after the rupture emerges from the interplay with the bulk elastodynamics. In this context, we simulate a frictional rupture at the interface between two linearly elastic solids and study the energy balance driving its propagation. Using dynamic fracture mechanics, we independently measure throughout the rupture the energy release rate from the bulk elastic fields and the frictional dissipation along the interface. From the comparison between these two quantities, we identify the part of interface dissipation corresponding to the fracture energy and show how the latter can be significantly smaller than the total breakdown work.</p><p>In a second phase, we test the generality of these results along another type of interface representative of mature fault zones filled with gouge.</p><p>This study shines new light on the energy budget of frictional ruptures and finds implications in the estimation of the fracture energy during earthquakes.</p>


2020 ◽  
Author(s):  
Marie Violay ◽  
Federica Paglialunga ◽  
François X. Passelègue

<p>Earthquakes correspond to a sudden release of elastic energy stored during inter-seismic period by tectonic loading around fault. The earthquake energy budget consists of four non-independent terms: the energy release rate (by unit crack length), the fracture energy, the heat term and finally the radiated energy. These terms depend on the rupture and sliding velocities, the amount of slip and the stress drop. Because of the impossibility to access to stress and strain conditions at depth, the earthquake energy budget cannot be fully constrained from seismological data, limiting our understanding of its influence on rupture propagation.</p><p>To address this issue, we conducted stick-slip experiments with large samples in a biaxial configuration apparatus. By imposing constant normal load and increasing shear load, seismic events were produced on a 20 cm long fault, for which the energy budget was estimated using different methods.</p><p>Fracture energy was estimated by recording the strain field around the crack tip through high frequency (2 MHz) strain gage rosettes array and comparing it to the theoretical LEFM strain field predictions obtained for same conditions (i.e. rupture velocity, distance from the fault). Fracture energies were then inverted and found to range in between 1 and 10 J/m<sup>2</sup>. At the same time the energy partitioning was estimated through stress-slip evolution during rupture. The fracture energies obtained from this method are almost one order of magnitude larger than the ones inverted from LEFM and range in between 1 and 90 J/m<sup>2</sup>. Moreover, the energy partitioning shows the radiated energy ranging between 80 and 300 J/m<sup>2</sup> and finally the heat/thermal energy as the largest fraction of the energy partitioning with values ranging from 200 to 2500 J/m<sup>2</sup>. Our preliminary results highlight the importance of understanding the contribution of heat energy in frictional processes, since this term cannot be estimated from seismological data.</p>


2015 ◽  
Vol 42 (9) ◽  
pp. 3179-3187 ◽  
Author(s):  
S. D. Goodfellow ◽  
M. H. B. Nasseri ◽  
S. C. Maxwell ◽  
R. P. Young

Author(s):  
H. Akabori ◽  
K. Nishiwaki ◽  
K. Yoneta

By improving the predecessor Model HS- 7 electron microscope for the purpose of easier operation, we have recently completed new Model HS-8 electron microscope featuring higher performance and ease of operation.


2005 ◽  
Vol 173 (4S) ◽  
pp. 140-141
Author(s):  
Mariana Lima ◽  
Celso D. Ramos ◽  
Sérgio Q. Brunetto ◽  
Marcelo Lopes de Lima ◽  
Carla R.M. Sansana ◽  
...  

Author(s):  
Thorsten Meiser

Stochastic dependence among cognitive processes can be modeled in different ways, and the family of multinomial processing tree models provides a flexible framework for analyzing stochastic dependence among discrete cognitive states. This article presents a multinomial model of multidimensional source recognition that specifies stochastic dependence by a parameter for the joint retrieval of multiple source attributes together with parameters for stochastically independent retrieval. The new model is equivalent to a previous multinomial model of multidimensional source memory for a subset of the parameter space. An empirical application illustrates the advantages of the new multinomial model of joint source recognition. The new model allows for a direct comparison of joint source retrieval across conditions, it avoids statistical problems due to inflated confidence intervals and does not imply a conceptual imbalance between source dimensions. Model selection criteria that take model complexity into account corroborate the new model of joint source recognition.


1986 ◽  
Vol 31 (2) ◽  
pp. 108-109
Author(s):  
Alexandra G. Kaplan
Keyword(s):  

PsycCRITIQUES ◽  
2004 ◽  
Vol 49 (Supplement 13) ◽  
Author(s):  
Paul E. Priester
Keyword(s):  

1993 ◽  
Vol 38 (4) ◽  
pp. 406-407
Author(s):  
Donald B. Yarbrough ◽  
Monika Schaffner

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