Study Of Anisotropic Radon Transform And Its Application In Seismic Data Reconstruction

Radon transform contains three methods,linear Radon transform,parabolic Radon transform and hyperbolic Radon transform.Radon transform was widely used to exploration.In this paper,we mainly study about anisotropic Radon transform and its application in seismic data reconstruction.In exploration,many factors can influence the seismic data and make it incomplete.the incomplete seismic data can influence the following data processing.So how to reconstruct the seismic data is a important research.Currently,we use Radon transform to solve this problem.Currently,the research about the seismic data reconstruction is focused on how to improve the reconstruction accuracy and efficiency.And which mainly reconstruct the near offset seismic data.But the far offset seismic data also have incomplete problem.So how to reconstruct the far offset seismic data is worth researching.However,there is a problem that when the offset is far,the seismic data is not satisfied with the hyperbolic assumption.To solve this problem,we propose a new Radon transform formula,the anisotropic Radon transform.This formula contains an anellipticity parameter which can describe the far offset seismic data accurately.We also use the sparsity-constraint Radon transform to instead the high resolution Radon transform.The sparsity-constraint Radon transform can improve the reconstruction accuracy.Currently,Radon transform is solved by conjugate gradient algorithm commonly.To speed up the calculation time,we use FISTA algorithm to solve Radon transform which can improve the calculation efficiency.The results of theoretical model and field data demonstrate that anisotropic Radon transform have good effect on the reconstruction accuracy and calculation efficiency...