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基于保角变换的双谱域相位谱估计方法及其在地震子波估计中的应用(英文)
引用本文:于永才,王尚旭,袁三一,戚鹏飞.基于保角变换的双谱域相位谱估计方法及其在地震子波估计中的应用(英文)[J].应用地球物理,2011,8(1):36-47.
作者姓名:于永才  王尚旭  袁三一  戚鹏飞
作者单位:中国石油大学(北京)CNPC物探重点实验室;中国地质大学(北京);
基金项目:supported by National 973 Program (No. 2007CB209600)
摘    要:地震子波估计是地震资料处理与解释中的重要环节,它的准确与否直接关系到反褶积及反演等结果的好坏。高阶谱(双谱和三谱)地震子波估计方法是一类重要的、新兴的子波估计方法,然而基于高阶谱的地震子波估计往往因为高阶相位谱卷绕的原因,导致子波相位谱求解产生偏差,进而影响了混合相位子波估计的效果。针对这一问题,本文在双谱域提出了一种基于保角变换的相位谱求解方法。通过缩小傅里叶相位谱的取值范围,有效避免了双谱相位发生卷绕的情况,从而消除了原相位谱估计中双谱相位卷绕的影响。该方法与最小二乘法相位谱估计相结合,构成了基于保角变换的最小二乘地震子波相位谱估计方法,并与最小二乘地震子波振幅谱估计方法一起,应用到了地震资料混合相位子波估计中。理论模型和实际资料验证了该方法的有效性。同时本文将双谱域地震子波相位谱估计中保角变换的思想推广到三谱域地震子波相位谱估计中。

关 键 词:保角变换  高阶谱  相位卷绕  地震子波估计

Phase estimation in bispectral domain based on conformal mapping and applications in seismic wavelet estimation
Yong-Cai Yu,Shang-Xu Wang,San-Yi Yuan,Peng-Fei Qi.Phase estimation in bispectral domain based on conformal mapping and applications in seismic wavelet estimation[J].Applied Geophysics,2011,8(1):36-47.
Authors:Yong-Cai Yu  Shang-Xu Wang  San-Yi Yuan  Peng-Fei Qi
Institution:(1) Department of Earth Science, University of Bergen, Allegaten 41, 5007 Bergen, Norway
Abstract: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.
Keywords:conformal mapping  higher-order spectra  phase wrapping  wavelet estimation  
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