震级离散下的震级频度关系
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摘要
运用最大熵原理,研究震级离散条件下震级频度关系,得到震级离散条件下震级概率分布函数,结果表明:(1)震级大于等于某一震级的地震次数应通过离散求和的方式得到,而不应通过积分的方式得到;(2)震级上限取为∞的情况下,古登堡意义和里克特意义两种震级频度关系式的b值相等;震级上限有限的情况下,里克特意义震级频度关系式可能不是直线.
The principle of maximum entropy is used to study the relationship of earthquake magnitude and frequency and obtain the probability distribution function for magnitude under the condition of discrete magnitude.The results show:(1) the number of events equal to or greater than M should be determined by discrete summation rather than integration method,(2) when unlimited upper bound to magnitude is given,the b value is equal for the Gutenberg relation and the Richter relation.When an upper bound M_k is assumed,the Richter relation may not be a linear relationship.
The principle of maximum entropy is used to study the relationship of earthquake magnitude and frequency and obtain the probability distribution function for magnitude under the condition of discrete magnitude.The results show:(1) the number of events equal to or greater than M should be determined by discrete summation rather than integration method,(2) when unlimited upper bound to magnitude is given,the b value is equal for the Gutenberg relation and the Richter relation.When an upper bound M_k is assumed,the Richter relation may not be a linear relationship.
引文
[1]刘正荣.b值特征的研究.地震研究,1995,18(2):168-173 Liu Z R.Feature studies of b value.Joural of Seismological Research(in Chinese),1995,18(2):168-173
[2]国家地震局震害防御司.地震工作手册.北京:地震出版社, 1992.276-281 Department of Earthquake Disaster Prevention,China Earthquake Administration.Handbook for Seismological Research(in Chinese).Beijing:Seismological Press,1992. 276-281
[3]Berril J B,Davis R O.Maximum entropy and the magnitude distribution.Bull.Seism.Soc.Am.,1980,70:1823-1831
[4]Dong W M,Bao A B,Shah H C.Use of maximum entropy principle in earthquake recurrence relationships.Bull. Seism.Soc.Am.,1984,74:725-737
[5]Jichun Sun,Tso-Chien Pan.The probability of very large earthquakes in Sumatra.Bull.Seism.Soc.Am.,1995,85: 1226-1231
[6]冯利华.最大熵原理与地震震级-频度关系.地震地质,2003, 25(2):260-265 Feng L H.Maximum entropy principle and seismic magnitude frequency relation.Geology and Seismology(in Chinese),2003,25(2):260-265
[2]国家地震局震害防御司.地震工作手册.北京:地震出版社, 1992.276-281 Department of Earthquake Disaster Prevention,China Earthquake Administration.Handbook for Seismological Research(in Chinese).Beijing:Seismological Press,1992. 276-281
[3]Berril J B,Davis R O.Maximum entropy and the magnitude distribution.Bull.Seism.Soc.Am.,1980,70:1823-1831
[4]Dong W M,Bao A B,Shah H C.Use of maximum entropy principle in earthquake recurrence relationships.Bull. Seism.Soc.Am.,1984,74:725-737
[5]Jichun Sun,Tso-Chien Pan.The probability of very large earthquakes in Sumatra.Bull.Seism.Soc.Am.,1995,85: 1226-1231
[6]冯利华.最大熵原理与地震震级-频度关系.地震地质,2003, 25(2):260-265 Feng L H.Maximum entropy principle and seismic magnitude frequency relation.Geology and Seismology(in Chinese),2003,25(2):260-265
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