High Resolution Radon Transform And Its Application In Seismic Data Processing

Seismic data processing is one of the important links in seismic exploratio n.In order to get good results,there are many different methods,and each of t hem has its own advantage.Radon transform are introduced into the field of g eophysics and play an important role in seismic data processing.In this paper,we mainly study the application of Radon transform in seism ic data processing.Based on the basic principle of Radon transform,we introd uce several basic forms of Radon transform in geophysics field,linear Radon t ransform,parabolic Radon transform,hyperbolic Radon transform,Polynomial Radon transform,the frequency domain Radon transform and the time domain Radon transform solution form and solution method are introduced in detail.T his paper focuses on the application of fast radian transform(?-f domain)to re construct seismic data and high resolution parabolic Radon transform suppressio n multiple waves.Conventional Radon transform seismic data reconstruction,mainly rely on p ositive and negative Radon transform iteration,and finally realize the reconstru ction of seismic data.Although the Radon transform in the frequency domain has a faster calculation speed,the computational efficiency is still not high due to the need for more iterations.Therefore,this paper reconstructs the seismic data using the ?-f domain Radon transform,which is determined by Brahim A bbad proposed a fast parabolic Radon transform calculation method,the frequen cy domain calculation needs to repeat the calculation of the positive transforma tion operator,?-f domain only once,and by adjusting the value of ? can reduc e the number of iterations,it can improve the efficiency of seismic data recons truction.Multiple wave suppression is a difficult problem in seismic data processing.Radon transform use the difference between multiple wave and once wave in Radon domain to suppress multiple waves.Conventional Radon transform because of its low conversion accuracy,resulting in the Radon domain resolution is limited,the suppression of multiple waves is poor,in 1999 Sacchi proposed hi gh resolution Radon transform,has become the mainstream of the current meth od of suppression of multiple waves.Radon transform is not a reversible opera tor.Conventional Radon transform does not consider the model information in the calculation.The high-resolution Radon transform takes full account of the model a priori information in the calculation and adds the model information t o the operator so that the positive transformation result more conform to the model.The high-resolution Radon transform destroys the Toeplitz structure of t he original operator matrix.The operator is Hermite matrix,which can be solv ed by Choleskey decomposition,LU decomposition and conjugate gradient.The conjugate gradient method is used to solve this problem in this paper.The hi gh-resolution Radon transform is applied to suppress multiple wave on actual s eismic data and compared with the commercial software results,the correctness of the processing effect is verified.Radon transform has a flexible form,and different Radon transformations c an be applied to the seismic data processing which is suitable for the transfor mation characteristics.In this paper,the following experiments can be obtained by numerical experiments and actual seismic data processing.The ?-f domain Radon transform reconstruct seismic data with high computational efficiency,an d the high resolution parabolic Radon transform suppresses the multiple wave better.The linear Radon transform has better effect on the linear noise.Radon transformations are widely used in seismic data processing and have been appli ed well.However,due to the irreversibility of the Radon transform operator its elf,the resolution,amplitude-preservation and computational efficiency of Rado n transform are the key research directions of this method.