Research And Application Of The Nonlinear Seismic Attribute Correlation Dimension

At present, the seismic attribute extraction from the seismic trace is a main technical method in seismic data processing. The seismic trace essentially is a typical nonlinear time series. We use the seismic information reasonably by using the nonlinear method to extract the seismic attribute.We study the nonlinear seismic attribute correlation dimension based on the theory of nonlinear in this paper. And we first analyze chaotic characteristics and fractal characteristics of the dynamic Nonlinear System and the nonlinear characteristics of seismic signals. It Show that the seismic signal is chaotic time series with chaotic and fractal characteristics. Secondly we extract non-linear seismic attributes from seismic data by using non-linear theory after the analysis of seismic attributes, including the classification of seismic attributes and extraction of seismic attributes. This paper mainly studied the calculation principle and calculation process of seismic correlation dimension based on Fractal Technology. Phase space reconstruction is a very important first step in dealing with the chaotic time series. Because seismic is a time series and the general time-series mostly are studied in the time domain or transform domain; but all non-variable must be counted in phase space in chaotic time series processing. We analyze phase space reconstruction theory and the calculation of the phase space reconstruction parameters in the article. It provides a theoretical basis for solving the correlation dimension. On the one hand we analyze to determine the parameters in the calculation because of the characteristics of the earthquake data itself. On the other hand because of seismic data is very large it takes a long time for using the traditional method in the calculation. When we calculate the correlation dimension in the actual seismic data processing. For this problem we make use of man-machine combination within the permitted error and improve the calculation of correlation integral to obtain the correlation dimension of seismic traces. We adopt the calculation with window and the calculation without window in the algorithm.In order to analyze the nonlinear seismic attribute correlation dimension response to different geological conditions, we first conduct numerical experiments using this method on different models in the paper. And The results show that the correlation dimension can clearly reflect the geological conditions. Second, we use the improved algorithm to calculate the seismic attribute correlation dimension in the actual seismic data processing. And the correlation dimension results consistent with the logging data and geological data. Therefore, the research of the correlation dimension can provide a better basis to judge in the processing and interpretation of seismic data in seismic exploration.