Multiple attenuation by high precision Radon transform with dominant frequency band constraint
The Radon transform is a commonly used algorithm in seismic data processing,which achieves seis-mic data interpolation,multiple attenuation,and wave field separation through specific path summation.How-ever,due to the limitations of acquired data and algorithms,resolution in the transform domain is relatively low.Improving the resolution of the Radon domain has always been a research hotspot.The most frequently used method is the reweighted algorithm with many times of iteration,namely updating weights iteratively to fo-cus the weighted value on the curvature of the seismic data,but it is difficult for the algorithm to focus it on the actual curvature position.Therefore,this paper proposes an optimized new method to improve the resolution of the transform domain,which involves calculating a weighting matrix within the dominant frequency band of the seismic data and focusing the weighted value on the actual seismic curvature position.Firstly,the dominant fre-quency of the seismic data is calculated,and a range around this dominant frequency is taken as the constrained frequency band.A lower-frequency constraint strategy is applied to the seismic data within the dominant fre-quency band,and the weighting matrix from low to high frequency is iteratively calculated.The final weighting matrix is obtained from the last weighting matrix within the dominant frequency band and is then applied to the calculations of all other frequencies.The data in the dominant frequency band have a high signal-to-noise ratio and strong amplitude,which thus indicates the proposed method is more stable,and the weighting matrix ob-tained through it can significantly enhance the resolution of the transform domain.In addition,compared with other iterative methods,it avoids the iterative process of each frequency's weighting matrix,with a higher com-putational efficiency.Tests on synthetic and real data have proven the effectiveness and advantages of the pro-posed method in multiple attenuation.
Radon transformmultiple attenuationhigh resolutiondominant frequency bandconstrainteffi-ciency