Amplitude preservation of Radon-based multiple-removal filters

Abstract

This study examines the effect of filtering in the Radon transform domain on reflection amplitudes. Radon filters are often used for removal of multiple reflections from normal moveout-corrected seismic data. The unweighted solution to the Radon transform reduces reflection amplitudes at both near and far offsets due to a truncation effect. However, the weighted solutions to the transform produce localized events in the transform domain, which minimizes this truncation effect. Synthetic examples suggest that filters designed in the Radon domain based on a weighted solution to the linear, parabolic, or hyperbolic transforms preserve the near- and far-offset reflection amplitudes while removing the multiples; whereas the unweighted solutions diminish reflection amplitudes which may distort subsequent amplitude-versus-offset (AVO) analysis.

Skeletonized inversion of surface wave: Active source versus controlled noise comparison

“…The amplitudes will largely be preserved if the computation is done properly within the bandwidth of the signal (Nowak and Imhof, 2006).…”

Separation of P–P and P–SV wavefields by high resolution parabolic Radon transform

“…2(b), the conventional least squares parabolic Radon panel result presents two linear smearing tails looking like a "butterfly". The tail along the q axis is caused by the data truncation at the near offsets and the tail cutting diagonally across the Radon panel is caused by the data truncation at the far offsets (Kabir and Marfurt, 1999;Herrmann et al, 2000;Nowak and Imhof, 2006).…”

Application of deconvolution interferometry to receiver ghost reflection in vertical cable seismic survey

“…Therefore, it is an important work to suppress multiples in seismic data processing, especially for marine seismic exploration. Various methods have been developed for multiples attenuation, such as surface-related multiple elimination (Verschuur et al,1992;Dragoset et al, 2010), inverse scattering series (Weglein et al, 1997;Wu et al, 2021), Radon transform (Foster & Mosher, 1992;Nowak & Imhof, 2006), multiple prediction through inversion (Wang, 2007), Marchenko method (Broggini et al, 2012;Wapenaar et al, 2014;Staring & Wapenaar, 2020) and so on.…”