利用高阶统计方法提取地震子波的研究

Study of seismic wavelet extrapolation based on high-order statistics method

由于缺乏分析工具,在地震信号处理中人们一直假设地震子波是最小相位的,地层反射系数是高斯噪声,但是这样的假设往往不符合实际。为了解决这个问题,在基于高阶累积量特征的基础上,提出了一种适用于任意高斯噪声环境的非最小相位地震子波估计方法;研究了如何利用信号处理中的新工具—高阶统计量进行地震子波的提取。理论模型实验说明,该方法对混合相位子波有较好的处理效果。

Due to lack of analyzing tools, it has been always assumed that seismic wavelet is minimum-phase and reflection coefficient is Gaussian distributed. However, in most circumstances, this kind of assumption does not match with the actual situation. Based on the higher-order statistics method, the estimation method of non-minimum wavelet was put forward, which was suitable for any Gaussian noise. Two novel classes of analysis tools in signal processing--higher-order statistics were presented. Through the application in seismic data processing, numerical data tests demonstrate that the method is capable of mix phase wavelet with relatively higher accuracy.