基于分形理论的地震信号空间序列分析

当把地震勘探信号各道间对应于同一时刻的数据序列看作是反映一定范围内地层及其地质参数的复杂函数时,便构成了地震勘探信号的空间序列.建立了地震信号空间序列的分形模型,将根据一维时间序列重建动力学系统的理论和时间序列关联维计算的G.P算法拓展到对地震信号空间序列的研究之中,提出了地震信号空间序列关联维的分析方法.仿真结果表明,利用分形分析结果的地震勘探信号空间序列分数维图,可将信噪比较低的地震勘探信号从强干扰噪声中分辨出来.

Study on the application of fractal theory to the analysis of the space-series of seismic prospecting signal

If the data sequence of all seismic prospecting signal traces at the same moment is regarded as a complicated function of the strata in some region and their geological parameters, it is a space series of seismic prospecting signal. In this paper, the fractal model of the space series of seismic prospecting signal is established, and the theory of rebuilding dynamic system with one dimension time series and P. Grassberger's algorithm of calculating correlative dimension according to time series are applied to the study of the space series of seismic signal based on this model. The method for calculating corrective dimension of the space series of seismic prospecting signal is proposed. The space series of simulated seismic detecting signal are analyzed, and the results show that by means of the correlative dimension chart of the space series of the seismic detecting signal whose signal to noise ratio is less, the useful signal in strong noise can be identified.