arXiv:2502.14355cs.CV2025-02被引 2

提出三重拉普拉斯混合模型,提升地震数据去噪精度与效率

Triply Laplacian Scale Mixture Modeling for Seismic Data Noise Suppression

  • 采用三重拉普拉斯尺度混合建模,更准确估计稀疏系数和隐参数
  • 在合成与实际地震数据上均优于现有方法,且计算效率高
  • 适合需要高精度去噪的地震信号处理研究者使用

基于稀疏性的张量恢复方法在抑制地震数据噪声方面展现出巨大潜力。这些方法利用捕捉地震数据张量中低维结构的稀疏性度量,通过软阈值或硬阈值算子施加稀疏性约束来去除噪声。然而,在真实地震数据非平稳且受噪声影响的情况下,张量系数的方差未知,难以从退化数据中准确估计,导致去噪性能不佳。本文提出一种新的三重拉普拉斯尺度混合(TLSM)方法,显著提升了稀疏张量系数及隐藏标量参数的估计精度。为使优化问题可解,采用交替方向乘子法(ADMM)求解基于TLSM的地震数据去噪问题。在合成与实际地震数据上的大量实验表明,所提TLSM算法在定量与定性评估中均优于多种先进去噪方法,同时具备出色的计算效率。

原文摘要 · Abstract (English)

Sparsity-based tensor recovery methods have shown great potential in suppressing seismic data noise. These methods exploit tensor sparsity measures capturing the low-dimensional structures inherent in seismic data tensors to remove noise by applying sparsity constraints through soft-thresholding or hard-thresholding operators. However, in these methods, considering that real seismic data are non-stationary and affected by noise, the variances of tensor coefficients are unknown and may be difficult to accurately estimate from the degraded seismic data, leading to undesirable noise suppression performance. In this paper, we propose a novel triply Laplacian scale mixture (TLSM) approach for seismic data noise suppression, which significantly improves the estimation accuracy of both the sparse tensor coefficients and hidden scalar parameters. To make the optimization problem manageable, an alternating direction method of multipliers (ADMM) algorithm is employed to solve the proposed TLSM-based seismic data noise suppression problem. Extensive experimental results on synthetic and field seismic data demonstrate that the proposed TLSM algorithm outperforms many state-of-the-art seismic data noise suppression methods in both quantitative and qualitative evaluations while providing exceptional computational efficiency.

地震去噪张量恢复稀疏建模信号处理

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