Disruption of seismic images by the parabolic Radon transform
Abstract
Abstract Integral transforms have always been a powerful tool to analyze seismic data in one and higher dimensions. The shift and similarity theorems for the 2D linear Radon transform or the slope-intercept form are given in terms of an affine coordinate transform (Deans, 1983). The best known example is that a shift in space domain of a hyperbolic traveltime curve yields a rotation of the image (an ellipse) in the slope-intercept domain (Durrani and Bisset, 1984). Hence, if seismic data are slightly modified by a shift (delay) or a change of scale (magnification), the new image is not essentially different from the old image. The 2D parabolic Radon transform is a mapping from the space–time domain onto a domain defined by the curvature intercept of parabolas present in the data (Hampson, 1986; Zhou and Greenhalgh, 1994). Similarity theorems for this transform can be established; however, a shift in space domain does not imply affine transforms, such as rotation, dilation, or translation of the transform coordinates. Lack of symmetry because of dipping reflectors or lateral velocity gradients deteriorates the qualitative nature of seismic data. Since the parabolic Radon transform is often used for primary/multiple separation, there will be a peg-leg multiple splitting, and the peg-leg multiples will appear as curves with the apex at nonzero offset. Hence, small deviations and deformations of seismic data from the ideal are always present in practice, so the actual image in…
Read the paper
Related studies
- Current state and future directions for deep learning based automatic seismic fault interpretation: A systematic review
- Physics of Partially Saturated Porous Media: Residual Saturation and Seismic-Wave Propagation
- Modern Imaging Using Seismic Reflection Data
- Effects of marine seismic surveys on free-ranging fauna: a systematic literature review
- A review of the recent seismic activity in the southern part of egypt (upper egypt)
- A review of research on mechanism of seismic attenuation and energy compensation
Go deeper in Evidence Hub
Evidence Hub adds a study data sheet (design, sample size, evidence level, key numbers), an AI summary and a chat grounded in the paper's text.