Ground motion response spectra and macroseismic earthquake intensity: some statistical ratios
Abstract
Aim. Obtaining new data on the interrelations between macroseismic and physical characteristics of strong ground motions during earthquakes and improving methods for predicting possible seismic impacts in seismically active areas based on this. Relevance. According to the level of seismic hazard, the territory of the Russian Federation is divided into zones with different macroseismic intensity (in points) of earthquakes. Calculations based on these data for seismic resistance do not use the macroseismic intensity points themselves, but the corresponding physical characteristics of ground motions, such as amplitudes and reaction spectra. Therefore, the question of the adequacy of these compliances has always been of primary importance. Another reason for the permanent relevance of research conducted in this area is that the data obtained in their process is one of the main sources of fundamental knowledge about the nature of earthquakes and their impact on the environment and society. Object. The macroseismic intensity of earthquakes and the response spectra of ground motions during earthquakes and the quantitative relationships between them. Methods. A comprehensive analysis of empirical and calculated data on the levels of spectral ground motions accelerations (SA) at various fixed frequencies (f) in earthquakes of different intensities (I) and the construction of probabilistic models of the relationship between them in earthquakes of different magnitudes (M) and distances (D) on this basis. Results. For each of the 18 spectral components, logarithmically uniformly distributed over frequencies in the range 0.28–22 Hz, probabilistic estimates of SA were obtained for various combinations of M, D, and I. The corresponding probabilistic models SA(M,D,I,f) are constructed, through the analysis of which the frequencies and relevant levels of SA are identified, independent of M and D and determined only by the intensity I. These frequencies, which are different for each value of I, are called “responsible" for the macroseismic effect of this intensity. A method for determining the macroseismic intensity I from the SA(f) reaction spectrum is offered, which makes it possible to obtain more accurate estimates than traditional methods for estimating single oscillation parameters (amplitudes, periods, etc.).
References
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