Compensating time-stepping error in fractional Laplacians viscoacoustic wavefield modeling

Ning Wang, Hui Zhou, Tieyuan Zhu

Research output: Contribution to conferencePaper

Abstract

The decoupled fractional Laplacian (DFL) viscous wave equations are commonly solved using the pseudospectral (PS) method, which usually introduces a high spatial accuracy but only second-order temporal accuracy. To eliminate the time-stepping errors, here we adopt the kspace concept to the solver of DFL viscoacoustic wave equation. Different from the existing k-space methods, the proposed k-space method for DFL viscoacoustic wave equation contains two correctors, which are designed to compensate for the time-stepping errors in the dispersion-dominated operator and the loss-dominated operator, respectively. Both theoretical analyses and numerical experiments show that the proposed k-space approach is superior to the traditional PS method mainly in three aspects. First, the proposed approach can effectively compensate for the time-stepping errors. Second, the stability condition is more relax, which makes the selection of sampling intervals more flexible. Finally, the k-space approach allows us to conduct high-accuracy wavefield extrapolation with larger time steps. These features make the proposed scheme be appealing for seismic modeling and imaging problems.

Original languageEnglish (US)
Pages3810-3814
Number of pages5
DOIs
StatePublished - Jan 1 2020
EventSociety of Exploration Geophysicists International Exposition and Annual Meeting 2019, SEG 2019 - San Antonio, United States
Duration: Sep 15 2019Sep 20 2019

Conference

ConferenceSociety of Exploration Geophysicists International Exposition and Annual Meeting 2019, SEG 2019
CountryUnited States
CitySan Antonio
Period9/15/199/20/19

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All Science Journal Classification (ASJC) codes

  • Geophysics

Cite this

Wang, N., Zhou, H., & Zhu, T. (2020). Compensating time-stepping error in fractional Laplacians viscoacoustic wavefield modeling. 3810-3814. Paper presented at Society of Exploration Geophysicists International Exposition and Annual Meeting 2019, SEG 2019, San Antonio, United States. https://doi.org/10.1190/segam2019-3215848.1