SEISMIC MAGNITUDE-FREQUENCY RELATION: A MAXIMUM ENTROPY APPROACH
Statistical approach provides a reasonable basis for seismic hazard assessment in specific tectonic regions (e.g. metal mines) as well as for the earth as a whole. The Gutenberg-Richter (G-R) law has been widely used to describe the seismic magnitude-frequency relationship. However, a number of studies show that the G-R relationship does not satisfactorily hold for seismicity in the high-magnitude range. Furthermore, the nonlineanty of the magnitude-frequency relationship can appear for very small events. In this paper, a new seismic magnitude-frequency relation is derived from the concept of entropy and the principle of maximum entropy, by considering the first and second order moment of magnitude.The proposed framework covers the well known G-R formula as a special case, and provides a reasonable theoretical explanation of it. Furthermore, given the mean and variance of earthquake occurrence, the maximum entropy principle generates a new seismic magnitude-frequency relation, which agrees with observed data remarkably well.
JIAN DENG HUAI-SHENG PENG DE-SHENG GU
School of Resources and Safety Engineering, Central South University, Changsha 410083,China
国际会议
The 7th International Symposium on Rockburst and Seismicity in Mines(2009年第七届国际岩爆与微振动性学术研讨会)
大连
英文
319-326
2009-08-21（万方平台首次上网日期，不代表论文的发表时间）