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  • 1
    Publication Date: 2021-02-17
    Description: An edited version of this paper was published by AGU. Copyright (2010) American Geophysical Union.
    Description: We study how heterogeneous rupture propagation affects the coherence of shear– and Rayleigh–Mach wave fronts radiated by supershear earthquakes. We address this question using numerical simulations of ruptures on a planar, vertical strike–slip fault embedded in a three–dimensional, homogeneous, linear elastic half–space. Ruptures propagate spontaneously in accordance with a linear slip–weakening friction law through both homogeneous and heterogeneous initial shear stress fields. In the 3–D homogeneous case, rupture fronts are curved due to interactions with the free surface and the finite fault width; however, this curvature does not greatly diminish the coherence of Mach fronts relative to cases in which the rupture front is constrained to be straight, as studied by Dunham and Bhat (2008). Introducing heterogeneity in the initial shear stress distribution causes ruptures to propagate at speeds that locally fluctuate above and below the shear–wave speed. Calculations of the Fourier amplitude spectra (FAS) of ground velocity time histories corroborate the kinematic results of Bizzarri and Spudich (2008): 1) The ground motion of a supershear rupture is richer in high frequency with respect to a subshear one. 2) When a Mach pulse is present, its high frequency content overwhelms that arising from stress heterogeneity. Present numerical experiments indicate that a Mach pulse causes approximately an –1.7 high frequency falloff in the FAS of ground displacement. Moreover, within the context of the employed representation of heterogeneities and over the range of parameter space that is accessible with current computational resources, our simulations suggest that while heterogeneities reduce peak ground velocity and diminish the coherence of the Mach fronts, ground motion at stations experiencing Mach pulses should be richer in high frequencies compared to stations without Mach pulses. In contrast to the foregoing theoretical results, we find no average elevation of 5%–damped absolute response spectral accelerations (SA) in the period band 0.05–0.4 s observed at stations that presumably experienced Mach pulses during the 1979 Imperial Valley, 1999 Kocaeli, and 2002 Denali Fault earthquakes compared to SA observed at non–Mach pulse stations in the same earthquakes. A 20% amplification of short period SA is seen only at a few of the Imperial Valley stations closest to the fault. This lack of elevated SA suggests that either Mach pulses in real earthquakes are even more incoherent that in our simulations, or that Mach pulses are vulnerable to attenuation through nonlinear soil response. In any case, this result might imply that current engineering models of high frequency earthquake ground motions do not need to be modified by more than 20% close to the fault to account for Mach pulses, provided that the existing data are adequately representative of ground motions from supershear earthquakes.
    Description: Published
    Description: B08301
    Description: 3.1. Fisica dei terremoti
    Description: JCR Journal
    Description: reserved
    Keywords: Numerical modeling ; Supershear ruptures ; 04. Solid Earth::04.06. Seismology::04.06.03. Earthquake source and dynamics
    Repository Name: Istituto Nazionale di Geofisica e Vulcanologia (INGV)
    Type: article
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  • 2
    Publication Date: 2017-04-04
    Description: We present a two-stage nonlinear technique to invert strong motions records and geodetic data to retrieve the rupture history of an earthquake on a finite fault. To account for the actual rupture complexity, the fault parameters are spatially variable peak slip velocity, slip direction, rupture time and risetime. The unknown parameters are given at the nodes of the subfaults, whereas the parameters within a subfault are allowed to vary through a bilinear interpolation of the nodal values. The forward modeling is performed with a discrete wave number technique, whose Green’s functions include the complete response of the vertically varying Earth structure. During the first stage, an algorithm based on the heat-bath simulated annealing generates an ensemble of models that efficiently sample the good data-fitting regions of parameter space. In the second stage (appraisal), the algorithm performs a statistical analysis of the model ensemble and computes a weighted mean model and its standard deviation. This technique, rather than simply looking at the best model, extracts the most stable features of the earthquake rupture that are consistent with the data and gives an estimate of the variability of each model parameter. We present some synthetic tests to show the effectiveness of the method and its robustness to uncertainty of the adopted crustal model. Finally, we apply this inverse technique to the well recorded 2000 western Tottori, Japan, earthquake (Mw 6.6); we confirm that the rupture process is characterized by large slip (3-4 m) at very shallow depths but, differently from previous studies, we imaged a new slip patch (2-2.5 m) located deeper, between 14 and 18 km depth.
    Description: Published
    Description: B07314
    Description: 3.1. Fisica dei terremoti
    Description: JCR Journal
    Description: partially_open
    Keywords: earthquake ; kinematic ; finite fault ; inversion ; source mechanics ; waveform ; 04. Solid Earth::04.06. Seismology::04.06.03. Earthquake source and dynamics
    Repository Name: Istituto Nazionale di Geofisica e Vulcanologia (INGV)
    Type: article
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  • 3
    Publication Date: 2017-04-04
    Description: In this paper we attempt to reconcile a theoretical understanding of the earthquake energy balance with current geologic understanding of fault zones, with seismological estimates of fracture energy on faults, and with geological measurements of surface energy in fault gouges. In particular, we discuss the mechanical work absorbed on the fault plane during the propagation of a dynamic earthquake rupture. We show that, for realistic fault zone models, all the mechanical work is converted in frictional work defined as the irreversible work against frictional stresses. We note that the eff γ of Kostrov and Das (1988) is zero for cracks lacking stress singularities, and thus does not contribute to the work done on real faults. Fault shear tractions and slip velocities inferred seismologically are phenomenological variables at the macroscopic scale. We define the macroscopic frictional work and we discuss how it is partitioned into surface energy and heat (the latter includes real heat as well as plastic deformation and the radiation damping of Kostrov and Das). Tinti et al. (2005) defined and measured breakdown work for recent earthquakes, which is the excess of work over some minimum stress level associated with the dynamic fault weakening. The comparison between geologic measurements of surface energy and breakdown work revealed that 1-10% of breakdown work went into the creation of fresh fracture surfaces (surface energy) in large earthquakes, and the remainder went into heat. We also point out that in a realistic fault zone model the transition between heat and surface energy can lie anywhere below the slip weakening curve.
    Description: Submitted
    Description: 237-261
    Description: open
    Keywords: earthquake ; 04. Solid Earth::04.06. Seismology::04.06.03. Earthquake source and dynamics
    Repository Name: Istituto Nazionale di Geofisica e Vulcanologia (INGV)
    Type: book chapter
    Format: 835154 bytes
    Format: application/pdf
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  • 4
    Publication Date: 2017-04-04
    Description: This paper achieves three goals: 1) It demonstrates that crack tips governed by friction laws including slip–weakening, rate–and state–dependent laws, and thermal pressurization of pore fluids, propagating at super–shear speed have slip velocity functions with reduced high frequency content compared to crack tips traveling at sub–shear speeds. This is demonstrated using a fully dynamic, spontaneous, 3–D earthquake model, in which we calculate fault slip velocity at nine points (locations) distributed along a quarter–circle on the fault where the rupture is traveling at super–shear speed in the in–plane direction and sub–shear speed in the anti–plane direction. This holds for a fault governed by the linear slip–weakening constitutive equation, by slip–weakening with thermal pressurization of pore fluid and by rate– and state–dependent laws with thermal pressurization. The same is also true even assuming a highly heterogeneous initial shear stress field on the fault. 2) Using isochrone theory we derive a general expressions for the spectral characteristics and geometric spreading of two pulses arising from super–shear rupture, the well–known Mach wave, and a second lesser known pulse caused by rupture acceleration. 3) The paper demonstrates that the Mach cone amplification of high frequencies overwhelms the deamplification of high frequency content in the slip velocity functions in super–shear ruptures. Consequently, when earthquake ruptures travel at super–shear speed, a net enhancement of high frequency radiation is expected, and the alleged “low” peak accelerations observed for the 2002 Denali and other large earthquakes are probably not caused by diminished high frequency content in the slip velocity function, as has been speculated.
    Description: In press
    Description: 3.3. Geodinamica e struttura dell'interno della Terra
    Description: JCR Journal
    Description: open
    Keywords: Numerical models ; FAS ; 04. Solid Earth::04.06. Seismology::04.06.03. Earthquake source and dynamics
    Repository Name: Istituto Nazionale di Geofisica e Vulcanologia (INGV)
    Type: manuscript
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  • 5
    Publication Date: 2017-04-04
    Description: We use a two-stage nonlinear technique to invert strong motions records and geodetic data to retrieve the rupture history of an earthquake on a finite fault. The unknown model parameters, spatially variable peak slip velocity, slip direction, rupture time and rise time, are given at the vertices of subfaults, whereas the parameters within a subfault can vary through a bilinear interpolation of the vertex values. The forward modeling is performed with a discrete wavenumber technique, whose Green's functions include the complete response of the vertically varying non-attenuating Earth structure. The GPS coseismic data are compared with the synthetic displacements using a L2 norm, while the recorded and modeled waveforms are compared in the frequency domain, using a cost function that is a hybrid representation between L1 and L2 norms. During the first stage (search), an algorithm based on heat-bath simulated annealing generates an ensemble of models that efficiently sample the good data-fitting regions of the parameter space. During this stage multiple Earth structures can be used to allow for uncertainty in the true structure. In the second stage (appraisal), the algorithm performs a statistical analysis of the model ensemble and computes a weighted mean model and its standard deviation by weighting all models by the inverse of the cost function values. We do not use any smoothing operator. This technique, rather than simply looking at the best model, extracts the most stable features of the earthquake rupture that are consistent with the data and gives an estimate of the variability of each model parameter. We present some applications to recent earthquakes such as the 2000 western Tottori (Mw 6.7) and the 2007 Niigata (Mw 6.6) (Japan) earthquakes in order to test and show the effectiveness of the method. Our methodology allows the use of different slip velocity time functions and we emphasize the relevance of adopting source time functions in kinematic inversions compatible with earthquake dynamics. We have verified that the choice of source time function affects ground motion time histories within the frequency band commonly used in waveform inversions and has a clear impact on the inferred peak slip velocity and rise time and, consequently, on the dynamic traction evolution inferred from kinematic models. Furthermore, the assessment of model uncertainty could be useful to predict ground motion time histories for seismic hazard assessment.
    Description: Unpublished
    Description: San Francisco, CA, USA
    Description: 3.1. Fisica dei terremoti
    Description: open
    Keywords: earthquake source ; inversion ; strong motion ; GPS data ; fault properties ; model uncertainty ; 04. Solid Earth::04.06. Seismology::04.06.03. Earthquake source and dynamics
    Repository Name: Istituto Nazionale di Geofisica e Vulcanologia (INGV)
    Type: Conference paper
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