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An efficient wavenumber–space–time domain finite-difference modeling of acoustic wave equation for synthesizing CMP gathers
The wavenumber–space–time domain wave equation is derived from the 2D time-domain wave equation in the horizontally stratified media by taking the Fourier transform of the equation with respect to one of the spatial variables. The derived wave equation is solved by the finite-difference method and analyzed in terms of stability and dispersion. Although there are lots of wavenumbers to be solved according to the sampling theorem, the modeling can be accelerated by limiting the range of wavenumber used for the inverse Fourier transform. The proposed method generates common mid-point (CMP) gathers directly without sorting process by applying the shifting theorem. We show that our algorithm is efficient and generates the same results as ones from the 2D modeling through two numerical examples. The proposed modeling algorithm can be used for the inversion of CMP gathers or amplitude-versus-offset inversion.
An efficient wavenumber–space–time domain finite-difference modeling of acoustic wave equation for synthesizing CMP gathers
The wavenumber–space–time domain wave equation is derived from the 2D time-domain wave equation in the horizontally stratified media by taking the Fourier transform of the equation with respect to one of the spatial variables. The derived wave equation is solved by the finite-difference method and analyzed in terms of stability and dispersion. Although there are lots of wavenumbers to be solved according to the sampling theorem, the modeling can be accelerated by limiting the range of wavenumber used for the inverse Fourier transform. The proposed method generates common mid-point (CMP) gathers directly without sorting process by applying the shifting theorem. We show that our algorithm is efficient and generates the same results as ones from the 2D modeling through two numerical examples. The proposed modeling algorithm can be used for the inversion of CMP gathers or amplitude-versus-offset inversion.
An efficient wavenumber–space–time domain finite-difference modeling of acoustic wave equation for synthesizing CMP gathers
Park, Yunhui (author) / Pyun, Sukjoon (author) / Ha, Wansoo (author)
Geosystem Engineering ; 17 ; 287-293
2014-09-03
7 pages
Article (Journal)
Electronic Resource
English
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