Residual time extrapolation operators for efficient wavefield construction
AuthorsAlkhalifah, Tariq Ali
KAUST DepartmentEarth Science and Engineering Program
Physical Science and Engineering (PSE) Division
Seismic Wave Analysis Group
Online Publication Date2012-10-25
Print Publication Date2012-09
Permanent link to this recordhttp://hdl.handle.net/10754/631492
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AbstractSolving the wave equation using nite-dierence approximations suers from dispersion and stability related issues that might limit ecient or proper extrapolation of high frequencies. Spectral-based time extrapolation methods tend to mitigate these problems, but at an additional cost to the extrapolation. I investigate the prospective of using a residual formulation of the spectral approach, along with utilizing Shanks transform based expansions, that adheres to the residual requirements, to improve accuracy and reduce the cost. Utilizing the fact that spectral methods excel (time steps are allowed to be large) in homogeneous and smooth media, the residual implementation allows for velocity discretization that optimizes the use of this feature.
CitationAlkhalifah T (2012) Residual time extrapolation operators for efficient wavefield construction. SEG Technical Program Expanded Abstracts 2012. Available: http://dx.doi.org/10.1190/segam2012-0217.1.
SponsorsI thank KAUST for its support.
PublisherSociety of Exploration Geophysicists
Conference/Event nameSociety of Exploration Geophysicists International Exposition and 82nd Annual Meeting 2012, SEG 2012