Fuzzy Discrimination Analysis Method for Earthquake Energy K-Class Estimation with respect to Local Magnitude Scale

Abstract:

The purpose of the present study is to establish relation between earthquake energy K-class (the relative energy characteristic) defined as logarithm of seismic waves energy E in joules obtained from analog stations data and local (Richter) magnitude ML obtained from digital seismograms. As for these data contain uncertainties the effective tools of fuzzy discrimination analysis are suggested for subjective estimates. Application of fuzzy analysis methods is an innovative approach to solving a complicated problem of constracting a uniform energy scale through the whole earthquake catalogue, also it avoids many of the data collection problems associated with probabilistic approaches; and it can handle incomplete information, partial inconsistency and fuzzy descriptions of data in a natural way. Another important task is to obtain frequency-magnitude relation based on K parameter, calculation of the Gutenberg-Richter parameters (a, b) and examining seismic activity in Georgia. Earthquake data files are using for periods: from 1985 to 1990 and from 2004 to 2009 for area j=41⁰ – 43⁰.5, l=41⁰ - 47⁰.