Frequency-dependent multiple attenuation method with Radon transform
The Radon transform is one of the commonly used methods for multiple attenuation.However,limited and discrete sampling causes the overlap of primaries and multiples in the Radon domain.The lower the frequency,the more severe the overlap.The high-resolution Radon transform can improve the separation of primaries and multiples,but the increased resolution will reduce the amplitude preservation performance,resulting in residual multiples or damage to primaries.Therefore,in this paper,a frequency-dependent filtering method for adaptive multiple separation based on least-squares inversion is proposed.Firstly,the frequency-dependent overlap mechanism of primaries and multiples is analyzed according to the Radon transform convolution model.Then,an overlap model adjusted with frequency is established using a modified Cauchy function.Finally,a filter is designed to extract multiples based on the overlap ratio of primaries and multiples.The filter can be adaptively adjusted according to the overlap degree of primaries and multiples,improving the accuracy of multiple estimation.Multiple attenuation experiments on synthetic and field data show that this frequency-dependent filtering method can improve the performance of multiple attenuation and avoid the high-computational complexity problem in high-resolution inversion methods.
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