基于微分方程滤波方法的海洋垂直缆波场分离

    Wavefields separation of marine vertical cable seismic by differential-equation-based filtering method

    • 摘要: 海洋垂直缆地震是一种通过垂直布设的水听器阵列采集地震数据的非常规勘探方式,可有效获取海底介质的高分辨率成像信息。然而,受限于实际采集中的接收道数较少,常规波场分离方法(如f-k滤波、radon变换等)往往面临空间采样不足、频散严重、波形畸变等问题,难以实现高精度上下行波分离。针对该问题,本文提出将基于微分方程的滤波方法引入VCS数据波场分离处理中。该方法通过在频率-波数域构建零相位滤波器并转换至时空域,结合有限差分算法实现稳定、高效的波场分离,具有良好的振幅保真性与适应性。模拟数据与实测数据处理结果表明,该方法在道数有限的情况下仍能有效分离上下行波场,性能显著优于传统方法。

       

      Abstract: Marine vertical cable seismic (VCS) is an unconventional exploration method that acquires seismic data through vertically deployed hydrophone arrays, enabling high-resolution imaging of subsea geological structures. However, due to the limited number of acquisition channels in practical operations, conventional wavefield separation methods—such as f-k filtering and radon transform—often suffer from insufficient spatial sampling, severe dispersion, and waveform distortion, making it difficult to achieve high-precision separation of upgoing and downgoingwavefields.To address this challenge, this paper introduces a differential-equation-based filtering (DEBF) method for wavefield separation in VCS data processing. The approach involves designing a zero-phase filter in the frequency-wavenumber (f-k) domain, transforming it into the time-space domain, and implementing stable and efficient wavefield separation using finite-difference algorithms. This method demonstrates excellent amplitude fidelity and adaptability. Tests on both synthetic and real datasets show that the proposed method effectively separates upgoing and downgoing wavefields even with limited channel counts, significantly outperforming conventional techniques in terms of separation quality and reliability.

       

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