Seismic trace interpolation via score-based diffusion model with wavelet convolution

IF 2.1 3区 地球科学 Q2 GEOSCIENCES, MULTIDISCIPLINARY
Jun Wang, XinRui Chen, BaoDi Liu
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引用次数: 0

Abstract

Seismic trace interpolation is a pivotal procedure in seismic data processing. The existing deep-learning interpolation methods necessitate masks during the training process, and the type of mask utilized for training should align with the missing type of test data. Any discrepancy may result in a substantial drop in interpolation performance, or even complete interpolation failure. To overcome this limitation, we leverage the score-based diffusion model, namely the noise conditional score network (NCSN), for seismic trace interpolation. NCSN learns data distribution through score matching, allowing neural networks to capture data priors without being affected by mask forms, thus enabling the recovery of data lost in any form. However, vanilla convolutions in NCSN excel at extracting local features but struggle with capturing global representations. To address this issue, we design a wavelet convolution (WC) operator that can simultaneously capture and process information in both spatial and spectral domains. This WC operator can be seamlessly integrated into any part of NCSN, enabling NCSN to possess both local and global receptive fields. Consequently, the NCSN embedded with WC demonstrates strong representation capabilities for both the details and overall trends of seismic events. Synthetic and field experimental results demonstrate that our WC-NCSN excels in flexibly handling missing forms and achieving high interpolation accuracy, all with just a single maskless training. Nevertheless, the inference process of NCSN leads to relatively low computational efficiency for our method. Future research may focus on reducing computational complexity.
基于分数扩散模型的小波卷积地震道插值
地震道插值是地震资料处理中的一个关键步骤。现有的深度学习插值方法在训练过程中需要使用掩码,并且训练所使用的掩码类型应与缺失的测试数据类型保持一致。任何差异都可能导致插补性能大幅下降,甚至完全插补失败。为了克服这一限制,我们利用基于分数的扩散模型,即噪声条件分数网络(NCSN)进行地震道插值。NCSN通过分数匹配学习数据分布,使神经网络能够在不受掩码形式影响的情况下提前捕获数据,从而可以恢复任何形式丢失的数据。然而,NCSN中的香草卷积擅长提取局部特征,但难以捕获全局表示。为了解决这个问题,我们设计了一个小波卷积算子,可以同时捕获和处理空间和频谱域的信息。该WC操作符可以无缝集成到NCSN的任何部分,使NCSN能够同时拥有本地和全球接收域。因此,嵌入WC的NCSN对地震事件的细节和总体趋势都表现出较强的表征能力。综合和现场实验结果表明,我们的WC-NCSN在灵活处理缺失形式和实现高插值精度方面表现出色,所有这些都只需要一次无掩模训练。然而,NCSN的推理过程导致我们的方法的计算效率相对较低。未来的研究可能会集中在降低计算复杂度上。
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来源期刊
Journal of Applied Geophysics
Journal of Applied Geophysics 地学-地球科学综合
CiteScore
3.60
自引率
10.00%
发文量
274
审稿时长
4 months
期刊介绍: The Journal of Applied Geophysics with its key objective of responding to pertinent and timely needs, places particular emphasis on methodological developments and innovative applications of geophysical techniques for addressing environmental, engineering, and hydrological problems. Related topical research in exploration geophysics and in soil and rock physics is also covered by the Journal of Applied Geophysics.
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