Abstract:In general, multiple attenuation by Radon transform means to process the model space involving forward transform and then returns to the time-space domain by inverse transform. How-ever, the convergence of the energy clusters in the Radon domain directly affects multiple removal, and the computational cost is high as the inverse operation of the matrix needs to be solved repeate-dly in the process of algorithm solving. For this reason, on the basis of 2D parabolic Radon transform, this study drew on the methods of Abbad et al. and took the lead in proposing a multiple attenu-ation method based on 3D parabolic Radon transform in the λ-f domain. The f-qx-qy domain of conventional 3D parabolic Radon transform was converted to a brand-new λx-λy-f domain, and the idea of 2D Radon transform in the λ-f domain was inherited. New variables λx and λy were introduced to eliminate the dependence of conventional Radon operators on frequency. The computational efficiency was thereby significantly improved as the number of matrix operations was reduced. According to the spatial distribution characteristics of primary and multiple energy in the λ-f domain, a 3D cone filter was designed to separate the primary from the multiple more effectively and reduce the error caused by the spatial truncation effect. The theoretical model and the actual data test yield the following conclusions: ① The proposed method lessens the influence of the spatial truncation effect, eliminates the dependence of transform ope-rators on frequency, effectively reduces the number of inverse operations of the matrix, and improves computational efficiency to more than eight times that of the method based on conventional 3D Radon transform. ② The proposed method still has the drawbacks of Radon-type methods, that is, when the velocity difference between the primary and the multiple is small, it fails to achieve a satisfactory multiple attenuation effect at a short offset.
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