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叠前CMP道集中,走时为双曲线的地震反射同相轴经过部分动校正(NMO)之后变为近似抛物线,当道集中缺失某些地震道时,可利用抛物线Radon变换通过迭代计算进行地震道的重建和恢复。笔者基于抛物线Radon变换的基本原理,利用加权抛物线Radon变换的计算方法,进行叠前地震道的恢复和重建,并且在数据域对其加权系数进行改进和优化,模型数据和实际资料的试算结果表明,改进后的计算方法即使在较强的随机噪声下依然可以稳建同相轴,且避免了常规方法在重建过程中产生虚假同相轴的缺点,与原始的加权抛物线Radon变换的计算方法相比,新方法具有压制随机噪声的优点,即具有较好的抗噪性,计算精度也有所提高,且算法稳健、高效,具有良好的应用前景。
In the pre-stack CMP gathers, the seismic reflection events of the hyperbolic travel time become approximate parabola after the partial motional correction (NMO), and when some of the seismic traces are absent from the set, parabolic Radon transform can be used to reconstruct the seismic trace by iterative calculation And recovery. Based on the basic principle of parabolic Radon transform, the author uses the method of weighted parabola Radon transform to recover and reconstruct pre-stack seismic traces, and improve and optimize the weight coefficients in the data field. The experimental results of model data and actual data It shows that the improved method can stabilize the events even under strong random noise and avoids the shortcomings of the conventional method in generating false events in the reconstruction process. Compared with the original weighted parabolic Radon transform . The new method has the advantages of suppressing random noise, that is, it has good noise resistance, and the calculation accuracy is also improved. The algorithm is robust and efficient and has good application prospects.