Recently, the attenuation of highly aliased broadband surface waves has received significant attention as its high-frequency and low-speed components render f-kx-ky filters ineffective. As a popular tool widely used in seismic signal processing, the basis function of the three-dimensional (3-D) linear Radon (tau-p) transform does not match the surface wave events in the time domain. This leads to the dispersal of its energy over ellipses on the zero-intercept slice while the events over the ellipses are reflected on each intercept slice of the 3-D linear Radon transform (LRT) domain, decreasing the resolution in slowness. We introduce a new type of Radon transform defined on circular cones (3-D conical Radon transform (CRT)) for seismic signal processing, which is fundamentally different than the LRT. Unlike its conventional counterpart, the CRT maps seismic data to its surface integral on circular cones in R3. Consequently, surface wave events are focused as points on the zero-intercept slice while the reflected events are points on each intercept slice of the CRT domain, which significantly improves the resolution in slowness compared to the LRT. We demonstrate the performance of the CRT for seismic signal processing for random noise attenuation, primary and multiple separation, and surface wave attenuation. Based on a comparison with the LRT, synthetic data and field datasets validate the effectiveness of the CRT method at improving the slowness resolutions, thus enhancing the seismic signal processing results in the CRT domain.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.