Two novel Fourier finite-difference schemes for acoustic wave propagation

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

Research output: Contribution to journalConference articlepeer-review

Abstract

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.

Original languageEnglish
Article number2851
Pages (from-to)2734-2738
Number of pages5
JournalSEG Technical Program Expanded Abstracts
Volume2020-October
DOIs
StatePublished - 2020
EventSociety of Exploration Geophysicists International Exhibition and 90th Annual Meeting, SEG 2020 - Virtual, Online
Duration: 11 Oct 202016 Oct 2020

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