Radon Transform for Seismic Data Processing

The Radon transform for seismic data serves as a mathematical tool that converts input data from one representation domain to another. By implementing Radon transform algorithms, seismic data processing can effectively separate direct waves, refraction waves, and reflection waves through domain transformation techniques. This methodology typically involves matrix operations and linear algebra implementations where seismic traces are transformed from time-offset domain to Radon domain (tau-p domain) using integration along hyperbolic paths. The inverse Radon transform then reconstructs filtered components by applying thresholding or masking techniques in the transform domain. This technique has gained widespread application in seismic exploration as it provides enhanced data accuracy, enabling geologists and engineers to better understand subsurface structures and formation characteristics through improved signal-to-noise ratio. The implementation often utilizes optimized computational approaches including fast Fourier transforms (FFT) and sparse matrix solvers to handle large-scale seismic datasets efficiently, thereby supporting earthquake prediction studies and engineering design decisions.