地震数据信噪比与分数维的关系探讨

On Relations Between Signaltonoise Ratioand Fractal Dimension of Seismic Data

为探索将分形理论应用于提高地震数据信噪比，基于Ｈｕｒｓｔ指数求取方法及与分维间的关系，通过合成地震记录，得到地震数据信噪比与分维之间的关系：信噪比越高，分维值越低。初步分析表明，借助非整数阶微积分来改变地震数据的分维值、压制地震噪声是可能的。

The fractal theory is a powerful tool to solve problems of irregular forms existing in complicated fields.Signaltonoise(S/N) ratio of seismic data can be improved with the fractal theory.According to the analysis of synthetic seismic data,the relation between S/N ratio and fractal dimension of seismic data is as follows:the higher the S/N ratio ,the lower the fractal dimension.The result shows that the S/N ratio can be raised and the seismic noise suppressed with nonintegerorder calculus.