地震能量空间分布局域标度特性的初步研究

A PRELIMINARY STUDY ON LOCAL SCALING FEATURES OF SPATIAL ENERGY DISTRIBUTION OF EARTHQUAKES

本文科用计算机数值模拟数据及大同地区三次中强地震前后的地震记录资料，在空间能量分布“漫化”的基础上，通过多重分形方法着重对能量空间分布的局域标度性质及可能的震兆信息进行研究。结果表明能量分布普遍地表现出多标度分形特性，但相同ｑ值Ｄｑ的时间变化或Ｄｑ～ｑ谱形态变化不明显。中强地震前标度指数谱ｆ（α）～α曲线两端大体对称或右端略低变为左端明显下降，同时α及ｆ（α）数值分布范围扩展、顶点右移。计算机模拟表明这相当于地震空间分布由随机向有序丛集演化，同时其能级分布也由均匀向极度不均匀演化。

Using the data of computer numerical simultation and seismic data before and after 3 moderate-strong earthquakes in Datong area, on the basis of 'energy diffusion', the local scaling features of energy distribution and its possible precursory information have been studied by multifractal theory. The results show the energy distribution possesses multifractal characteristics universally, however, the temporal changes of Dq values and spectral forms of Dq-q are not obvious. Before moderatestrong earthquakes, the f(a) j～a curves become from about symmetrical or a little low with the right side to much low with the left side,at the same time the numerical distribution ranges of index a and f(a) spectra become wider and wider, the top of f(a)～a curves goes to right.Computer modelling pointed out that it is equvalent to that seismic spatial distribution evolves from stochastic to ordered clusters, seismic energy level distribution also from homogeneous to highly nonhomogeneous.