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    基于频谱特征驱动的巴特沃兹低通滤波器参数自适应设计及其地震勘探应用

    Spectrum-Feature-Driven Adaptive Parameter Design of a Butterworth Low-Pass Filter and Its Application in Seismic Exploration

    • 摘要: 针对传统巴特沃兹低通滤波器在地震信号处理中阻带参数依赖经验、阶数确定缺乏频谱先验以及多道资料处理效率受数据规模影响明显等问题,提出一种频谱特征驱动的巴特沃兹低通滤波器参数自适应设计方法。该方法首先提取归一化截止频率、低频能量占比、截止频率邻带能量占比、高频能量占比、频谱质心、频谱带宽和频谱边缘能量比等特征,构建频谱特征向量;然后基于波形保真度、通带稳定性、阻带抑制能力和阶数复杂度建立归一化综合评价函数,并通过候选阻带比和候选阶数遍历生成参数标签;最后采用随机森林回归模型分别预测阻带比和阶数先验中心,并结合局部稳健搜索确定最终滤波阶数。合成样本实验结果表明,所提“阻带参数预测—阶数先验局部稳健搜索”策略的平均SNR增益为15.08 dB,波形保真度为90.84%,阻带衰减为33.72 dB,优于固定阻带、经验阻带和单纯二分搜索等对照策略。消融实验表明,引入阶数先验局部搜索后,阶数边界触发率降低至约2.4%,提高了阶数选择的稳定性。不同数据规模下的CPU/GPU效率测试表明,小规模道集处理中GPU含传输耗时不一定优于向量化CPU,而在大规模多道批处理场景下GPU并行优势逐渐体现。实测地震资料应用结果表明,该方法能够有效削弱高频干扰,并较好地保持低频目标频带波形。研究结果表明,所提方法在保持巴特沃兹滤波器参数可解释性的基础上,提高了复杂频谱条件下滤波参数选择的自适应性和稳定性。

       

      Abstract: To address the empirical selection of stopband parameters, the lack of spectral prior information in filter-order determination, and the scale-dependent efficiency of multi-trace seismic filtering, a spectrum-feature-driven adaptive parameter design method is proposed for Butterworth low-pass filters. First, a spectral feature vector is constructed using the normalized cutoff frequency, low-frequency energy ratio, adjacent-band energy ratio near the cutoff frequency, high-frequency energy ratio, spectral centroid, spectral bandwidth, and spectral edge-energy ratio. Then, a normalized composite evaluation function considering waveform fidelity, passband stability, stopband suppression, and order complexity is established, and parameter labels are generated by traversing candidate stopband ratios and filter orders. Finally, random forest regression models are used to predict the stopband ratio and the filter-order prior, respectively, and the final filter order is determined using a locally robust search strategy. Experiments on synthetic seismic signals show that the proposed stopband-parameter prediction and order-prior-based local search strategy achieves an average SNR gain of 15.08 dB, a waveform fidelity of 90.84%, and a stopband attenuation of 33.72 dB, outperforming fixed-stopband, empirical-stopband, and simple binary-search strategies. Ablation experiments indicate that the boundary-triggering rate of filter order is reduced to approximately 2.4% after introducing the order-prior-based local search, thereby improving the stability of order selection. CPU/GPU efficiency tests under different data scales show that GPU processing with data transfer is not necessarily faster than vectorized CPU processing for small-scale data, whereas GPU parallelism becomes more advantageous in large-scale multi-trace batch processing. Application to real seismic data demonstrates that the proposed method can effectively suppress high-frequency interference while preserving the waveform in the target low-frequency band. The results indicate that the proposed method improves the adaptivity and stability of filter-parameter selection under complex spectral conditions while maintaining the interpretability of Butterworth filter parameters.

       

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