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  • 1
    Electronic Resource
    Electronic Resource
    A four-parameter, two degree-of-freedom block-spring model: Effect of the driver velocity (1994)
    Springer
    Pure and applied geophysics 143 (1994), S. 633-653 
    Details
    ISSN: 1420-9136
    Keywords: Block-spring models ; chaos ; earthquake patterns
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Physics
    Notes: Abstract We analyze the effect of tectonic plate velocities in the earthquake pattern using a simple mass-spring model of the Burridge and Knopoff type with two blocks and a velocity-weakening friction law. Previous versions of the two-block model assume a steady driver during slip events (limit of zero driver velocity), which, in some cases makes necessary the introduction of artificial parameters to start the numerical integration of the equations of motion at impending slip of any block. Still maintaining the condition of zero driver velocity during slip, we shall introduce a procedure to start the numerical integration without introducing artificial parameters and this will be done by using a linearized version of the equations of motion valid for small velocities and considering nonzero driver velocity. We also introduce a four parameter model in which the driver velocity enters the equations during the whole simulation, and analyze the effect of the new parameter, the driver velocity, in the displacement and time patterns of blocks motion, directly related to earthquake statistics such as coseismic slips and average repeat times.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00879502
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Statistical Model For the Stick-Slip Behaviour of Faults (1993)
    Oxford, UK : Blackwell Publishing Ltd
    Geophysical journal international 113 (1993), S. 0 
    Details
    ISSN: 1365-246X
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Geosciences
    Notes: Inspired by an earlier work by Smalley, Turcotte & Solla (1985), in this paper we consider a fault consisting of large sets of asperities with a statistical distribution of strength. It is argued that the principle of equal-load-sharing between asperities, inside a segment, is necessary to account for the stick-slip behaviour. This principle is responsible for amplifying—or damping—the effective probability for the displacement of crustal blocks. the antecedents of this idea in the seismological literature are commented on.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1111/j.1365-246X.1993.tb02532.x
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    A model of characteristic earthquakes and its implications for regional seismicity (2004)
    Oxford, UK : Blackwell Science Ltd
    Terra nova 16 (2004), S. 0 
    Details
    ISSN: 1365-3121
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Geosciences
    Notes: Regional seismicity (i.e. that averaged over large enough areas over long enough periods of time) has a size–frequency relationship, the Gutenberg–Richter law, which differs from that found for some seismic faults, the Characteristic Earthquake relationship. But all seismicity comes in the end from active faults, so the question arises of how one seismicity pattern could emerge from the other. The recently introduced Minimalist Model of Vázquez-Prada et al. of characteristic earthquakes provides a simple representation of the seismicity originating from a single fault. Here, we show that a Characteristic Earthquake relationship together with a fractal distribution of fault lengths can accurately describe the total seismicity produced in a region. The resulting earthquake catalogue accounts for the addition of both all the characteristic and all the non-characteristic events triggered in the faults. The global accumulated size–frequency relationship strongly depends on the fault length fractal exponent and, for fractal exponents close to 2, correctly describes a Gutenberg–Richter distribution with a b exponent compatible with real seismicity.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1111/j.1365-3121.2004.00538.x
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  • 4
    Electronic Resource
    Electronic Resource
    A model for crack connectivity in rocks, a discussion (1995)
    Springer
    Mathematical geology 27 (1995), S. 23-39 
    Details
    ISSN: 1573-8868
    Keywords: rock fracture ; renormalizalion-group ; percolation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract We reanalyzed a model introduced by T. R. Madden for the evaluation of the state of connectivity among the microcrack population existing inside crystalline rocks. The model assumes that cracks are distributed randomly in a cubic lattice with a basic occupation probability, p.Depending on the value of p, the stale of connectivity can give rise to macroscopic paths, which allow electrical conduction of the sample, or to extended crack surfaces, which would be responsible for rock failure. The position of the phase boundaries, that is, the threshold values of pfor the onset of conductivity or macroscopic fracture, are estimated by a real-space renormalizalion-group (RG) technique. By identifying all the relevant configurations of the lattice model, we have been able to provide explicit analytic formulae for the critical lines. The criterion used by Madden to “accept” the existence of microscopic linear connectivity is modified and the new consequences discussed. We analyze the limitations of simple versions of the RG technique, in particular when concerned with anisotropic spatial distributions of cracks. Finally, we emphasize the interest of acquiring experimental data, especially to test the position of the conduction thresholds.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02083566
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    Paper (German National Licenses)
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