应用分形维进行地震数据的压缩与恢复

SEISMIC DATA COMPRESSION AND RECOVERY USING FRACTAL DIMENSION

地矿部石油物探研究所

Research Institude of Geophysical Prospecting for Petraleum, MGMR

应用分形维理论计算地震道数据的分形维,发现对相同的区域其维数是一样的。地震道数据可划分成N个自相似的单元,每个单元包含相同数目的点,而这些点的数目则由分形维的度量尺度来确定。根据所划分单元的自相似性,不仅可以对地震道数据进行压缩,而且可以对压缩后的数据进行保真恢复或重建。当压缩比为31％时,相关系数大于0.82。这种数据压缩方法具有简单、快速、准确、压缩数据量大等特点,不仅适用于叠后剖面,而且适用于叠前剖面。

By using the Fractal Theory to calculate the fractal dimension of seismic trace data,it is found thai the fractals of the same prospecting area appear to be identical. Seismic trace data can be separated into n self-similar units . Each of which should contain same number of points. The number of these points is determined by the fractal dimension. From the self-similarity of the redivided units we establish that not only seismic trace data could be compressed but also it is enabled to make recovery without much distortion or reconstruction for the data compressed. As compression ratio comes up to 38. 72, then the correlation coefficient turns out greater than 0. 82. This compression technique being presented here is proved efficient,easily-performed and highly dependable. What's more,it is capable of handling voluminous data at a time. The method is applicable for post-stack section and prc-stack ones as well.