Two novel Fourier finite-difference schemes for acoustic wave propagation

Hongyu Zhou, How Wei Chen, Yang Liu, Jing Wang

研究成果: 雜誌貢獻會議論文同行評審

摘要

We have designed two new Fourier finite-difference (FFD) schemes for acoustic wave propagation by cascading the Fourier transform operators and rhombus-shaped finitedifference operator. The Fourier operator of FFD scheme 1 adopts conventional pseudospectral operations while the Fourier operator of FFD scheme 2 incorporates sinc function and reference velocity v0. Using frequency-wavenumber domain Taylor-series expansion method, we deduce the FFD coefficients which can reach 2N-th order temporal accuracy for these two FFD schemes. Besides, we compare and contrast dispersion characteristic of two FFD schemes and analyze the relation between FFD operator length requirement with different velocity. Based upon the analysis, we establish a variable FFD operator length mechanism to minimize the computational cost of two FFD schemes. The operator length variation curves demonstrate that our FFD scheme 2 can be more efficient than FFD scheme 1. And the numerical examples validate the accuracy of two new FFD schemes.

原文???core.languages.en_GB???
文章編號2851
頁(從 - 到)2734-2738
頁數5
期刊SEG Technical Program Expanded Abstracts
2020-October
DOIs
出版狀態已出版 - 2020
事件Society of Exploration Geophysicists International Exhibition and 90th Annual Meeting, SEG 2020 - Virtual, Online
持續時間: 11 10月 202016 10月 2020

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