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Appraisal of seismic hazard parameters for the seismic regions of the east circum-pacific belt inferred from a bayesian approach

机译:贝叶斯方法推断的东环太平洋带地震区地震危险性参数评估

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摘要

The assessment of seismic hazard parameters is important in the seismically active regions. A straightforward approach is considered for the statistical estimation of the maximum values of earthquake hazard parameters. The Bayesian estimator is suggested and emphasis is given to the evaluation of the maximum possible M_(max) (regional) magnitude in a future time interval T. This approach allows the uncertainty of earthquake magnitude to be accounted for. Seismic hazard parameters like the beta-value which is the slope of the magnitude-frequency law (where, b = log_e beta) and the intensity (rate) lambda of seismic activity and their uncertainties are also estimated. The quantiles of functions of distributions of true and apparent magnitude on a given time interval [O, T] are evaluated, as well. Two main assumptions are adopted for the method: (1) earthquake occurrence is Poissonian and (2) the magnitude-frequency law is of Gutenberg-Richter type with a cutoff maximum value of magnitude. It is needless to say the seismic catalog used must have a large number of events. This requirement leads to the estimation of the parameters referred to some of the most seismically active regions of the world, e.g., Chile. Peru-Equador-South Colombia, Central America and Mexico, which belong to the east part of the circum-Pacific belt.
机译:在地震活跃地区,地震危险参数的评估很重要。考虑了一种简单的方法来对地震危险参数的最大值进行统计估计。建议使用贝叶斯估计器,并着重评估未来时间间隔T中最大可能的M_(max)(区域)震级。这种方法可以考虑地震震级的不确定性。还估算了地震危险参数,例如β值,它是幅度频率定律的斜率(其中,b = log_e beta)和地震活动的强度(速率)λ及其不确定性。还评估了给定时间间隔[O,T]上真实和视在量级的分布函数的分位数。该方法采用两个主要假设:(1)地震的发生是泊松现象;(2)振幅-频率定律是古登堡-里希特型,其截断最大值为震级。不用说,所使用的地震目录必定会发生大量事件。这项要求导致估计了涉及世界上某些地震活跃地区的参数,例如智利。秘鲁-赤道-南哥伦比亚,中美洲和墨西哥,属于环太平洋带的东部。

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