Phase estimation in bispectral domain based on conformal mapping and applications in seismic wavelet estimation

地震小浪评价是地震数据处理和解释的重要部分，谁的正确直接与 deconvolution 和倒置的结果有关。小浪评价基于高顺序的系列是一个重要新方法。然而，高顺序的系列经常有阶段包装纸问题，它导致小浪阶段光谱偏差并且从而影响混合阶段小浪评价。解决这个问题，我们建议一个新阶段光谱方法基于在 bispectral 领域的保角的印射。方法避免由缩小 Fourier 阶段光谱的范围消除在原来的阶段包影响的 bispectral 阶段包问题的阶段光谱评价。方法基于保角的印射组成最少平方的小浪阶段光谱评价它与最少平方的小浪振幅光谱评价被用于混合阶段小浪评价。理论模型和实际地震数据验证这个方法的有效性。我们也扩大到 trispectral 小浪阶段光谱评价的在 bispectral 小浪阶段光谱评价的保角的印射的想法。

Seismic wavelet estimation is an important part of seismic data processing and interpretation, whose preciseness is directly related to the results of deconvolution and inversion. Wavelet estimation based on higher-order spectra is an important new method. However, the higher-order spectra often have phase wrapping problems, which lead to wavelet phase spectrum deviations and thereby affect mixed-phase wavelet estimation. To solve this problem, we propose a new phase spectral method based on conformal mapping in the bispectral domain. The method avoids the phase wrapping problems by narrowing the scope of the Fourier phase spectrum to eliminate the bispectral phase wrapping influence in the original phase spectral estimation. The method constitutes least-squares wavelet phase spectrum estimation based on conformal mapping which is applied to mixed-phase wavelet estimation with the least-squares wavelet amplitude spectrum estimation. Theoretical model and actual seismic data verify the validity of this method. We also extend the idea of conformal mapping in the bispectral wavelet phase spectrum estimation to trispectral wavelet phase spectrum estimation.