Eliminating time dispersion from seismic wave modeling

EFM Koene, JOA Robertsson, F Broggini… - Geophysical Journal …, 2018 - academic.oup.com
We derive an expression for the error introduced by the second-order accurate temporal
finite-difference (FD) operator, as present in the FD, pseudospectral and spectral element …

Finite-difference time dispersion transforms for wave propagation

M Wang, S Xu - Geophysics, 2015 - library.seg.org
The finite-difference (FD) wave equation is widely implemented in seismic imaging for oil
exploration. But the numerical dispersion due to discretization of time and space derivatives …

Fractional Laplacians viscoacoustic wavefield modeling with k-space-based time-step** error compensating scheme

N Wang, T Zhu, H Zhou, H Chen, X Zhao, Y Tian - Geophysics, 2020 - library.seg.org
The spatial derivatives in decoupled fractional Laplacian (DFL) viscoacoustic and
viscoelastic wave equations are the mixed-domain Laplacian operators. Using the …

Overcoming numerical dispersion of finite-difference wave extrapolation using deep learning

H Kaur, S Fomel, N Pham - SEG International Exposition and Annual …, 2019 - onepetro.org
We design post-propagation filters using deep learning for overcoming the numerical
dispersion of finite-difference wave extrapolation. We train the network with a given velocity …

Second-order time integration of the wave equation with dispersion correction procedures

R Mittet - Geophysics, 2019 - library.seg.org
Second-order time integration of the wave equation is numerically efficient with time steps
close to the limit set by the stability criterion. However, dispersion errors over realistic …

Modeling of the acoustic wave equation by staggered‐grid finite‐difference schemes with high‐order temporal and spatial accuracy

Z Ren, Z Li, Y Liu, MK Sen - Bulletin of the Seismological …, 2017 - pubs.geoscienceworld.org
Finite difference (FD) is widely used for modeling seismic‐wave propagation in theoretical
and applied seismology. Traditional FD methods with the cross stencil exhibit spatial …

Estimating optimal parameters of finite-difference scheme for wavefield modeling

XZ FANG, G YAO, FL NIU, D WU - Chinese Journal of Geophysics, 2023 - en.dzkx.org
The finite-difference (FD) method is widely used for simulating complex wavefield
propagation because of its high accuracy and efficiency. However, it suffers from numerical …

Acoustic and elastic finite-difference modeling by optimal variable-length spatial operators

Y Liu - Geophysics, 2020 - library.seg.org
Time-space domain finite-difference modeling has always had the problem of spatial and
temporal dispersion. High-order finite-difference methods are commonly used to suppress …

Reducing error accumulation of optimized finite-difference scheme using the minimum norm

Z Miao, J Zhang - Geophysics, 2020 - pubs.geoscienceworld.org
The finite-difference (FD) scheme is popular in the field of seismic exploration for numerical
simulation of wave propagation; however, its accuracy and computational efficiency are …

Variable-order optimal implicit finite-difference schemes for explicit time-marching solutions to wave equations

W Wang, X Wen, C Tang, B Li, L Li, W Wang - Geophysics, 2021 - library.seg.org
The time-space-domain finite-difference method (FDM) is widely used in forward modeling
of wave equations. Conventional explicit FDMs (EFDMs)(with high order in space and the …