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首页> 外文期刊>IEEE Transactions on Geoscience and Remote Sensing >Adaptive Variable Time Fractional Anisotropic Diffusion Filtering for Seismic Data Noise Attenuation
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Adaptive Variable Time Fractional Anisotropic Diffusion Filtering for Seismic Data Noise Attenuation

机译：自适应可变时间分数阶各向异性扩散滤波用于地震数据噪声衰减

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摘要

Seismic records are often contaminated with various kinds of noise, which makes it very difficult to distinguish the expected geological features. In this paper, we introduce a novel adaptive variable time fractional-order anisotropic diffusion equation for seismic data noise removal and strongly oriented structure enhancement. Since the time fractional-order differential equation interpolates a parabolic equation and a hyperbolic equation, the solution benefits both of these approaches. The presented differential equation can be written as a Volterra integral equation, and its well-posedness can be guaranteed for all time. We employ a structure tensor to analyze the flow-like texture characteristic which is typical in seismic data. Then, the diffusion process is guided reasonably by a diffusion tensor based on the structure tensor analysis which allows real anisotropic behavior comparing to the classical scalar diffusion approach. In reference to the numerical implementation, we utilize the predictor–corrector algorithm to solve the Volterra integral equation which provides high-order numerical precision jointly with good stability property. Finally, numerical experiments involved with synthetic and prestacked real seismic data are presented. The obtained results demonstrate that the noise is effectively removed, and the coherent seismic events that express some important geological structures are not only preserved but significantly enhanced.
机译：地震记录经常受到各种噪声的污染，这使得很难区分预期的地质特征。在本文中，我们介绍了一种新颖的自适应可变时间分数阶各向异性扩散方程，用于地震数据噪声去除和强定向结构增强。由于时间分数阶微分方程可插值抛物线方程和双曲线方程，因此该解决方案对这两种方法均有利。提出的微分方程可以写成Volterra积分方程，并且可以始终保证其适定性。我们使用结构张量来分析地震数据中典型的流状纹理特征。然后，基于结构张量分析，通过扩散张量合理地指导扩散过程，与传统的标量扩散方法相比，该结构张量可以实现真实的各向异性行为。关于数值实现，我们利用预测器-校正器算法来求解Volterra积分方程，该方程提供了高阶数值精度和良好的稳定性。最后，给出了涉及合成和预叠真实地震数据的数值实验。获得的结果表明，噪声被有效地消除了，并且表达某些重要地质结构的相干地震不仅得到保留，而且得到了显着增强。

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