Wave-equation Radon tomography for early arrivals

Amr Ibrahim, Gerard T. Schuster, Sherif M. Hanafy

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations


We present the theory of wave-equation Radon tomography (WRT) where the slopes and zero-intercept time of early arrivals in the τ−p domain are inverted for the subsurface velocity structure. The early arrivals are windowed in a shot gather, but they are still too wiggly to avoid local minima with a full waveform inversion (FWI) method. To reduce their complexity, a local linear Radon τ−p transform is applied to the events to focus them into few points. These points, which identify the slopes and zero-intercept time of the early arrivals, are picked to give the slowness coordinate pobs i at the zero-intercept time τ i . The misfit function ε=∑ i=1 P (p i −p i obs )2+∑ i=1 P (τ i −τ i obs )2 is computed and a gradient optimization method is used to find the optimal velocity model that minimizes e. Results with synthetic data and field data show that WRT can accurately reconstruct the nearsurface P-wave velocity model and converges faster than other wave-equation methods.
Original languageEnglish (US)
Title of host publicationSEG Technical Program Expanded Abstracts 2018
PublisherSociety of Exploration Geophysicists
Number of pages5
StatePublished - Aug 27 2018


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