Imaging of vertical structures is a challenge in the seismic imaging field. The conventional imaging methods for vertical structures are highly dependent on the reference model or boreholes. Time-reversed mirror imaging can effectively image the vertical structures based on the multiples and a smoothed velocity model without the need of accurate seismic wavelet estimation. Although the Laplacian operator is applied in time-reversed mirror imaging, there still exists severe residual noise. In this study, we developed a new imaging denoising strategy and an X-shaped supplement denoising operator for time-reversed mirror imaging based on the geometric features of the image and the causes of imaging noise. Synthetic results for the single- and double-staircase model prove the powerful denoising capacity of the X-shaped supplement denoising operator. In addition, the results of a Marmousi model prove that the X-shaped denoising operator can also effectively suppress the noise when applying time-reversed mirror imaging method to image complex inclined structures. However, the X-shaped denoising operator still contains some limitations, such as non-amplitude-preserving.

中文翻译：

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针对时间反演镜像技术的一种新的去噪策略及X形补充去噪算子

垂直结构的成像是地震成像领域的一个挑战。垂直结构的常规成像方法高度依赖于参考模型或钻孔。时间反演镜像可以有效地基于多次波和平滑速度模型对垂直结构进行成像，而无需精确的地震子波估计。虽然拉普拉斯算子应用于时间反演镜像，但仍然存在严重的残余噪声。在本研究中，我们基于图像的几何特征和成像噪声的原因，开发了一种新的成像去噪策略和一种用于时间反演镜像的X形补充去噪算子。单、双阶梯模型的综合结果证明了X形补充去噪算子的强大去噪能力。此外，Marmousi 模型的结果证明，X 形去噪算子在应用反时镜成像方法对复杂倾斜结构成像时也能有效抑制噪声。但是，X 形去噪算子仍然存在一些局限性，例如不保幅。