稀疏反射系数频率域正余弦分量协同反演方法

谱反演作为近年出现的一种反演方法，不依赖测井资料等先验信息，只需利用地震数据本身的频谱信息就可反演地层稀疏反射系数，并能突破常规地震资料调谐效应导致的分辨率极限。研究发现，时间域的奇偶脉冲分量与频率域的正余弦分量具有等价性。基于此，本文提出一种直接在频率域利用地震数据谱的正余弦分量进行协同反演的方法，得到高分辨率稀疏反射系数序列。理论模型试验和实际资料应用结果表明，利用该方法能取得精确的反演结果，能识别原始地震剖面上无法分辨的薄层和小尺度地质体。

A sparse reflectivity sine-cosine synergistic inversion method in the frequency domain

The spectral inversion appeared in recent years is not dependent on a priori information such as well logging data.It can obtain the sparse reflectivity with only the seismic frequency spectrum and break through the resolution limitation caused by the tuning effect.Our research indicates that decomposing the frequency spectrum of reflectivity series into sine and cosine components in the frequency domain is equivalent to decomposing the reflectivity series into odd and even components in the time domain.Based on this equivalence,we propose a synergistic inversion method using the sine and cosine components of the seismic spectrum in the frequency domain to get high resolution sparse reflectivity series.Model tests and real data applications show that the proposed method can achieve accurate results on which thin-beds and minor geological bodies can be recognized,which cannot be recognized on original seismic sections.