Abstract:In order to accomplish a direct migration and velocity inversion in τ-p domain, we derive formulas for τ-p transforms in the cases of line source and point source, discuss their differences and relations, and outline the relationship between τ-p transform and plane-wave decomposition, We have found from theoretical analysis and computation that τ-p transform using Fourier projection theorem in frequency domain brings higher accuracy, less abasing and much faster computational speed than that in time-space domain.Furthermore, in frequency domain, the processings of interpolation, frequency filtering etc, can be performed so as to suppress noises and reduce abasing, Consequently,quite good τ-p section can be obtained using the frequency-domain algorithm.Then new formula for direct migration of τ-p data, namely, the formula for migration in p-ω-z domain, can be derived by performing the direct τ-p transform of wave equation, or by using Fourier projection theorem in frequency-wavenumber domain. Its consistence with f-k migration is demedrpstrated, the computation result of the theoretical model proves this migration method right.
收稿日期: 1987-04-22
引用本文:
刘清林, 何樵登. Tau—p变换与Tau—p域偏移[J]. 石油地球物理勘探, 1988, 23(2): 171-187.
Liu Qinglin, He Qiaodeng. Tau-p transform and migration in Tau-p domain. OGP, 1988, 23(2): 171-187.