Band-limited beam propagator and its application to seismic migration
Band-limited beam propagator and its application to seismic migration
复制标题
限带光束传播器及其在地震偏移中的应用
DOI：
10.1190/geo2017-0094.1
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发表时间：
2018-07
期刊：
影响因子：
3.3
通讯作者：
Cai Jiexiong
中科院分区：
文献类型：
--
作者：
Liu Shaoyong;Gu Hanming;Han Bingkai;Yan Zhe;Liu Dingjin;Cai Jiexiong
高频假设下的射线追踪技术在地震波传播和偏移中得到了广泛的应用。然而，常规射线追踪在复杂介质中的实际应用受到了限制，特别是在地震数据频带受限的情况下。此外，光线跟踪法在复杂介质中也存在阴影带的问题。为了缓解这些问题，我们研制了一种带限波束传播器，并将其应用于地震波的传播和偏移中，该传播器实现灵活，可以方便地提取角度道集。为了得到带限光束传播子，采用带限光线追踪法计算光束的中心光线。基于局部平面波的假设，对第一菲涅耳区的这些射线进行加权，得到带限射线。然后，利用近轴近似将带限光线扩展到带限光束传播子。由于光束传播器具有与中心光线垂直的一定束宽，因此它比传统的光线追踪法具有更好的照明效果，并且可以部分缓解阴影区域的问题。最后，利用带限光束传播器实现了带限光束偏移，并对复杂区域的角度道集进行了分析。合成模型上的数值算例表明，所提出的带限光束传播器在照度方面优于传统的射线方法。它在偏移中的应用表明，它可以提高成像质量，在复杂地区产生更好的角度道集。
The ray-tracing technique under the high-frequency assumption has been widely used in seismic wave propagation and migration. However, the practical use of conventional ray tracing is limited in complicated media especially when seismic data are band limited. Besides, the ray-tracing method also suffers from shadow zones in complex media. To alleviate these problems, we have developed a band-limited beam propagator and we apply it in seismic wave propagation and migration, which is flexible to implement and can be friendly to extract angle gathers. To derive the band-limited beam propagator, the band-limited ray-tracing method is adopted to compute the central ray of the beam. These rays in the first Fresnel zone are weighted to obtain the band-limited ray based on the assumption of a local plane wave. Then, the band-limited ray is extended to the band-limited beam propagator using the paraxial approximation. Because the beam propagator has a certain beam width perpendicular to the central ray, it has better illumination than the conventional ray-tracing method, and it could partially alleviate the problem of shadow zones. Finally, we use the band-limited beam propagator to develop a band-limited beam migration and analyze the angle gathers in complicated areas. Numerical examples on synthetic models indicate that the proposed band-limited beam propagator outperforms the conventional ray method in terms of illumination. Its applications in migration determine that it could enhance the imaging quality and produce better angle gathers in a complex area.
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