地震多重分形标度指数谱f(α)的研究

STUDY ON THE CROWDING INDEX SPECTRUM F(α) OF SEISMIC MULTI-FRACTAL

摘要:

本文简要介绍了描述多重分形的标度指数谱f(α)的直接计算方法和简要推导过程。应用该方法分析处理了渤海和唐山地震区地震时间序列资料,结果表明,用f(α)谱能较好地全面描述地震时间分布这类不均匀分形。根据f(α)谱的异常形态,可以对大震进行监测预报。

Abstract:

This paper simply introduces the method of directly calculating the crowding index α and crowding index spectrum f(α) which can describe the complex fractal. Using f(α)-α it also analyses the seismic temporal sequence data in Tangshan seismic region. The results show that using the index spectrum f(α) to study the multi-fractal is simple and available, and uneven fractal as the temporal distribution of earthquakes can be described better and completely. Based on the anomalous shape of the index spectrum f(α), it is possible to monitor and predict large earthquakes.