关于地震震级-频度关系式及其非线性项的讨论

ON THE NEW MAGNITUDE-FREQUENCY CORRELATION AND ITS NONLINEAR TERMS

摘要:

研究了震级 频度关系式中非线性项产生的原因,指出由于地震孕育过程是非线性的,很多地震现象都服从分形和混沌规律,因此传统的震级频度关系式中应含有非线性项,才能全面描述地震过程的非线性规律.得出了新的含有非线性项的震级频度关系式.讨论了该公式中非线性项的含义.

Abstract:

The linear magnitude-frequency correlation advanced first by Gutenberg and Richter has played a great part in the study of earthquake and its prediction. The correlation itself has been improved and replenished constantly. In this paper it is pointed out that the important cause of generating the nonlinear behavior of earthquake is its fractal structure and its chaos principle. A new magnitude frequency correlation involving nonlinear terms is gained. It is proved that the correlation can be developed to the linear Gutenberg Richter relation through linear approximation. A further explanation in physics principle is also given.