最小平方约束反演谱分析方法的应用效果分析

对最小平方约束下的反演谱分析方法(CLSSA)的应用效果进行了分析研究。首先介绍了求解频谱的线性方程组的构建以及迭代求解过程。随后对单子波、频率混叠的余弦模拟道及单子波道进行了试算分析，并与短时傅里叶变换(STFT)以及S变换方法进行对比，结果表明，相较于传统时频分析方法，采用Hilbert变换构建复数道进行CLSSA分频的方法，同时具有更高的时间和频率分辨率。最后，分别采用STFT方法、S变换和CLSSA方法对实际地震数据进行分频处理，并提取沿层最大振幅切片以及主频切片，对比分析表明，CLSSA方法能够用更小的时窗更准确地拾取地震记录中的频率变化，即在保证频率分辨率的前提下能够得到更高的时间分辨率，清晰地刻画研究区内目标层位的辫状河道特征。

Here,we analyzed the application effects of constrained least-square spectrum analysis (CLSSA) method.Firstly,the construction of linear equations for solving frequency spectrum and its iteration process are briefly introduced.Then,a single wavelet and a cosine model trace with frequency aliasing were tested,which shows that the CLSSA method using complex trace built by Hilbert transform can provide higher time resolution and frequency resolution compared with the traditional time-frequency analysis methods (STFT and S transform).Finally,the application of different time-frequency analysis methods by extracting dominant frequency and maximum amplitude attribute of a seismic data cube along the a pre-interpreted horizon using STFT,S transform and CLSSA method were carried out.The application result reveals that the CLSSA method can accurately catch the frequency changes of seismic data by using a smaller analysis window,give a clear vision of braided channels in the research area.That is to say,the CLSSA method can provide a higher time resolution while keeping the frequency resolution.