Prediction of the quantitative parameters of seismic ground motion, based on studies of strong ground records, is the final part of a set of works on assessing the seismic hazard of any territory. At the same time, the results of studying the processes of seismic wave generation and propagation in the near fields of earthquakes are of great importance for the physics of the earthquake source, being the basis for constructing an adequate model of the source and the processes occurring in it. The regularities of propagation of a seismic wave field are expressed in the equations of the relationship between the parameters of seismic vibrations and characteristics of the source and the medium. These equations can be obtained both from the theoretical positions available in today’s seismological science and from analysis of accumulated data of strong ground records. It does not require proof that the interpenetration of these two methods is the most useful for scientific progress. The trend of recent decades in the development of equations for predicting the parameters of strong ground motions is identification of several zones in the wave field with different dependences on the parameters of the medium and source. The predictive ratios obtained using this method is distinguished by a decrease in the scatter of estimates of the fluctuation parameters and compliance with empirical data. When processing statistical data using dimension and similarity theory, it was found that in the field of seismic waves, there are similar distances at which the values of the oscillation parameters are similar. In other words, there are laws for scaling the seismic ground motion parameters. A similar statement can be found in theoretical studies on generation of seismic waves by an earthquake source. The aim of the study is, using theoretical provisions on processes in the source area, to establish the laws of generation and propagation of the parameters of strong ground movements, taking into account empirical data; to develop a model of the source zone that does not contradict empirical data; and to determine the size of the earthquake source zone. The research methodology involves statistical analysis of empirical data on strong ground motion. The results yielded are attenuation equations for the amplitudes of peak ground accelerations in the fault, near-, and far-field zones; predictive equations for the prevailing periods and duration of fluctuations of strong ground motion; and estimates of the sizes of the earthquake source zone.
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