Application of the Radon–FCL approach to seismic random noise suppression and signal preservation
Application of the Radon–FCL approach to seismic random noise suppression and signal preservation
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DOI：
10.1088/1742-2132/13/4/549
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发表时间：
2016-07
影响因子：
1.4
通讯作者：
F. Meng;Yue Li;Yanping Liu;Yanan Tian;N. Wu
中科院分区：
文献类型：
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作者：
F. Meng;Yue Li;Yanping Liu;Yanan Tian;N. Wu
分形守恒定律 (FCL) 是一个由低阶反扩散项修正的线性偏微分方程。分析表明该算法可以消除高频并保留或放大中低频。因此，该方法非常适合同时抑制噪声和增强或保存地震信号。然而，传统的FCL仅沿时间方向对地震数据进行滤波，从而忽略了相邻道之间的空间相干性，从而导致方向信息的丢失。因此，我们考虑将传统的FCL发展到时空域，并提出了Radon-FCL方法。在本文中，我们应用 Radon 变换来实现 FCL 方法；在氡域中执行 FCL 过滤可实现更高水平的噪声衰减。使用这种方法，与传统的FCL滤波相比，可以通过牺牲更少的频率分量来恢复地震反射事件，同时有效地衰减更多的随机噪声。使用合成和共同炮点数据的实验证明了 Radon-FCL 方法相对于传统 FCL 方法在随机噪声衰减和地震信号保存方面的优势。
The fractal conservation law (FCL) is a linear partial differential equation that is modified by an anti-diffusive term of lower order. The analysis indicated that this algorithm could eliminate high frequencies and preserve or amplify low/medium-frequencies. Thus, this method is quite suitable for the simultaneous noise suppression and enhancement or preservation of seismic signals. However, the conventional FCL filters seismic data only along the time direction, thereby ignoring the spatial coherence between neighbouring traces, which leads to the loss of directional information. Therefore, we consider the development of the conventional FCL into the time-space domain and propose a Radon–FCL approach. We applied a Radon transform to implement the FCL method in this article; performing FCL filtering in the Radon domain achieves a higher level of noise attenuation. Using this method, seismic reflection events can be recovered with the sacrifice of fewer frequency components while effectively attenuating more random noise than conventional FCL filtering. Experiments using both synthetic and common shot point data demonstrate the advantages of the Radon–FCL approach versus the conventional FCL method with regard to both random noise attenuation and seismic signal preservation.