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An Optimal Fourier Finite-difference Scheme for Acoustic Wave Modelling based on Least Squares
- Publisher: European Association of Geoscientists & Engineers
- Source: Conference Proceedings, 80th EAGE Conference and Exhibition 2018, Jun 2018, Volume 2018, p.1 - 5
Abstract
Summary
Pseudo-analytical method (PAM) holds the advantage of both low temporal and spatial dispersions, but it may generate large error in the complex-velocity media. Fourier finite-difference (FFD) method decomposes the PAM solution into a Fourier transform (FT) operator and a FD operator, it can achieve high accuracy and satisfactory stability in complex-velocity model during wave propagation. In this paper, we adopt a new solution to calculate the optimal FFD coefficients by minimizing the error of the FD operator based on least squares (LS). The numerical examples reveal that the LS-based FFD scheme we proposed can achieve greater accuracy with shorter operator than the LS-based FD method.
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