Multiple suppression by 2D filtering in the parabolic τ–p domain: a wave‐equation‐based method1
Multiple suppression by 2D filtering in the parabolic τ–p domain: a wave‐equation‐based method1
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DOI：
10.1111/j.1365-2478.1996.tb00154.x
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发表时间：
1996-05
影响因子：
2.6
通讯作者：
Binzhong Zhou;S. Greenhalgh
中科院分区：
文献类型：
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作者：
Binzhong Zhou;S. Greenhalgh
作者在 x-t、线性 τ-p 和 f-k 域中开发的基于波动方程的水层多重抑制滤波器已扩展到抛物线 τ-2 域。通过比较多重模型轨迹上的能量（通过原始数据的波外推方法生成）和 τ-p 空间中的原始输入数据（多重 + 一次），自动确定多重拒绝区域。在抛物线 τ-p 域中应用数据自适应 2D 解多重滤波器的优点是波在该域中得到很好的分离。数值示例证明了这种去混响程序的有效性。抛物线 τ-p 域中的多次波滤波对远偏移距迹线和近偏移距迹线都有效，而 f-k 域中的多次波滤波仅对远偏移距迹线有效。对合成共炮点（CSP）道集的测试表明，去多重滤波器相对不受水速和水深的微小误差的影响，这些误差会导致多重模型轨迹中多次波的到达时间误差小于滤波器能量求和窗口的时间维度（大约为小波长度的四分之一）。在小波形状和走时意义上，预测的多重模型轨迹中的多次波不必是输入数据中的多次波的精确复制品。对于被高达 25% 的随机噪声污染的输入数据，去倍滤波器也能很好地工作。在澳大利亚西北大陆架采集的浅水 CSP 地震数据证明了该技术在实际数据上的有效性。
The filter for wave-equation-based water-layer multiple suppression, developed by the authors in the x-t, the linear τ-p, and the f-k domains, is extended to the parabolic τ-2 domain. The multiple reject areas are determined automatically by comparing the energy on traces of the multiple model (which are generated by a wave-extrapolation method from the original data) and the original input data (multiples + primaries) in τ-p space. The advantage of applying the data-adaptive 2D demultiple filter in the parabolic τ-p domain is that the waves are well separated in this domain. The numerical examples demonstrate the effectiveness of such a dereverberation procedure. Filtering of multiples in the parabolic τ-p domain works on both the far-offset and the near-offset traces, while the filtering of multiples in the f-k domain is effective only for the far-offset traces. Tests on a synthetic common-shot-point (CSP) gather show that the demultiple filter is relatively immune to slight errors in the water velocity and water depth which cause arrival time errors of the multiples in the multiple model traces of less than the time dimension (about one quarter of the wavelet length) of the energy summation window of the filter. The multiples in the predicted multiple model traces do not have to be exact replicas of the multiples in the input data, in both a wavelet-shape and traveltime sense. The demultiple filter also works reasonably well for input data contaminated by up to 25% of random noise. A shallow water CSP seismic gather, acquired on the North West Shelf of Australia, demonstrates the effectiveness of the technique on real data.