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  • 2000-2004  (2)
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  • 1
    Publication Date: 2003-04-01
    Description: It has been previously demonstrated that no reflection is generated when elastic (or electromagnetic) waves enter a region with Perfectly Matching Layer (PML) absorbing conditions in a continuous medium. The practical application of PMLs, however, is in numerical modeling, where the medium is discretized by either a finite-element or a finite-difference scheme thus introducing a reduced amount of reflection. In such a case what is the practical and quantitative efficiency of PML absorbing boundaries? Assuming a regular spatial mesh, we start by evaluating analytically the reflection of body waves introduced by the discrete transition toward PML properties, under variable angle of incidence and wavelength. We then extend our evaluation with numerical tests for both body and Rayleigh waves. Surprisingly enough, the absorption remains equally efficient at wavelengths far larger than the PML thickness itself. As a consequence, the PML thickness can be kept minimal even for studies involving relatively low frequencies, and no rescaling with model size is required. Another pleasant feature is that it is all the more efficient at shallow angles of incidence. Finally, we show through numerical examples that a major advantage of using PMLs is their efficiency in absorbing Rayleigh waves at the free surface, a point where more classical methods perform rather poorly. Although previous authors essentially limited the description of their discrete implementation to 2D, we develop to some level of detail a 3D finite-difference scheme for PMLs and provide numerical examples.
    Print ISSN: 0037-1106
    Electronic ISSN: 1943-3573
    Topics: Geosciences , Physics
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  • 2
    Publication Date: 2004-12-01
    Description: Several of the world's active volcanoes are located near densely populated areas, and therefore the seismic hazard associated with preeruptive earthquake activity and its relation to the potential damage of engineering structures should be considered as a part of risk evaluation and management. This is true for Mt. Vesuvius volcano (southern Italy), where several hundred thousand people are exposed to volcanic and related seismic risks. This study investigates the effect of preeruptive seismic activity through the massive simulation of earthquake waveforms in the magnitude, location, and focal-mechanism ranges expected for Mt. Vesuvius seismicity. Synthetics are processed to evaluate the characteristic strong-motion parameters, which are useful for estimating the seismic damage to a built-up environment that would arise from both the maximum expected single event and the cumulative effect of a large number of small events. Synthetic and observed strong-motion parameters for a selected set of recorded earthquakes are compared to validate the modeling approach. The scaling of the simulated peak ground acceleration (PGA) with distance appears to be influenced by earthquake depth, owing to the presence of a sharp velocity discontinuity at shallow depths underneath the Vesuvius area. On the other hand, the hysteretic energy spectrum, related to the plastic behavior of the structures, depends strongly on the b-parameter of the Gutenberg-Richter law (G-R). By varying the G-R law parameters across a reasonable expected range, we observe that the cumulative hysteretic energy is comparable to the values observed at near-source distances during the 1997 Umbria-Marche, Italy, event (M 5.8), which produced serious damage to buildings and infrastructure, although a significant PGA value was not recorded.
    Print ISSN: 0037-1106
    Electronic ISSN: 1943-3573
    Topics: Geosciences , Physics
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