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Cumulative frequency b value without upper bound magnitude and its regression determination
引用本文:沈建文.Cumulative frequency b value without upper bound magnitude and its regression determination[J].地震学报(英文版),1994(Z1).
作者姓名:沈建文
作者单位:Seismological Bureau of Anhui Province,Hefei 230031,China
摘    要:CumulativefrequencybvaluewithoutupperboundmagnitudeanditsregressiondeterminationJian-WenSHEN(沈建文)(SeismologicalBureauofAnhuiP...


Cumulative frequency b value without upper bound magnitude and its regression determination
Jian-Wen SHEN.Cumulative frequency b value without upper bound magnitude and its regression determination[J].Acta Seismologica Sinica(English Edition),1994(Z1).
Authors:Jian-Wen SHEN
Abstract:This paper points out that it is theoretically wrong for the traditional method to determine cumulatiove b value using linear regression and derive earthquake recurrence relation according to probability distribution or density function. As a result, it always systematically overestimated b value so as to underestimate the frequencies of the part of larger earthquakes. The smaller the actual b in the research area, or the smaller the magnitude range of the data in regression, or the smaller the magnitude interval, the larger the above deviation. So for an area with lower upper bound magnitude, if only historic earthquake data are used to determine b value by regression method, the b value will be obviously overestimated and systematic deviation of seismic hazard will be arised because the lower bound magnitude of reliable data is high and the magnitude range of data is small. In this paper, it is suggested to substitude cumulative b value without upper bound magnitude for conventional cumulative b value with upper bound magnitude, and the regression method is devloped to determine b value without upper bound magnitude.
Keywords:b value  earthquake recurrence relation  seismic hazard analysis
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