Compensating time-stepping error in fractional Laplacians viscoacoustic wavefield modeling

Ning Wang, Hui Zhou, Tieyuan Zhu

Research output: Contribution to journalConference articlepeer-review


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)
Pages (from-to)3810-3814
Number of pages5
JournalSEG Technical Program Expanded Abstracts
StatePublished - Aug 10 2019
EventSociety of Exploration Geophysicists International Exposition and 89th Annual Meeting, SEG 2019 - San Antonio, United States
Duration: Sep 15 2019Sep 20 2019

All Science Journal Classification (ASJC) codes

  • Geotechnical Engineering and Engineering Geology
  • Geophysics


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