ABSTRACT Deconvolution is an essential step for high‐resolution imaging in seismic data processing. The frequency and phase of the seismic wavelet change through time during wave propagation as a consequence of seismic absorption. Therefore, wavelet estimation is the most vital step of deconvolution, which plays the main role in seismic processing and inversion. Gabor deconvolution is an effective method to eliminate attenuation effects. Since Gabor transform does not prepare the information about the phase, minimum‐phase assumption is usually supposed to estimate the phase of the wavelet. This manner does not return the optimum response where the source wavelet would be dominantly a mixed phase. We used the kurtosis maximization algorithm to estimate the phase of the wavelet. First, we removed the attenuation effect in the Gabor domain and computed the amplitude spectrum of the source wavelet; then, we rotated the seismic trace with a constant phase to reach the maximum kurtosis. This procedure was repeated in moving windows to obtain the time‐varying phase changes. After that, the propagating wavelet was generated to solve the inversion problem of the convolutional model. We showed that the assumption of minimum phase does not reflect a suitable response in the case of mixed‐phase wavelets. Application of this algorithm on synthetic and real data shows that subtle reflectivity information could be recovered and vertical seismic resolution is significantly improved.

中文翻译：

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使用最大峰态优化的非平稳解卷积

摘要 解卷积是地震数据处理中高分辨率成像的重要步骤。作为地震吸收的结果，地震子波的频率和相位在波传播期间随时间变化。因此，小波估计是反褶积中最重要的一步，在地震处理和反演中起主要作用。Gabor 解卷积是消除衰减效应的有效方法。由于 Gabor 变换不准备有关相位的信息，因此通常假设最小相位假设来估计小波的相位。这种方式不会返回最佳响应，其中源小波主要是混合相位。我们使用峰态最大化算法来估计小波的相位。第一的，我们去除了 Gabor 域中的衰减效应并计算了源小波的幅度谱；然后，我们以恒定相位旋转地震道以达到最大峰度。在移动窗口中重复此过程以获得随时间变化的相位变化。之后，生成传播小波来解决卷积模型的反演问题。我们表明，在混合相位小波的情况下，最小相位的假设不能反映合适的响应。该算法在合成数据和真实数据上的应用表明，可以恢复细微的反射率信息，显着提高垂直地震分辨率。在移动窗口中重复此过程以获得随时间变化的相位变化。之后，生成传播小波来解决卷积模型的反演问题。我们表明，在混合相位小波的情况下，最小相位的假设不能反映合适的响应。该算法在合成数据和真实数据上的应用表明，可以恢复细微的反射率信息，显着提高垂直地震分辨率。在移动窗口中重复此过程以获得随时间变化的相位变化。之后，生成传播小波来解决卷积模型的反演问题。我们表明，在混合相位小波的情况下，最小相位的假设不能反映合适的响应。该算法在合成数据和真实数据上的应用表明，可以恢复细微的反射率信息，显着提高垂直地震分辨率。