Eliminating time dispersion from seismic wave modeling
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 (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 …
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
The spatial derivatives in decoupled fractional Laplacian (DFL) viscoacoustic and
viscoelastic wave equations are the mixed-domain Laplacian operators. Using the …
viscoelastic wave equations are the mixed-domain Laplacian operators. Using the …
Overcoming numerical dispersion of finite-difference wave extrapolation using deep learning
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 …
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 …
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
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 …
and applied seismology. Traditional FD methods with the cross stencil exhibit spatial …
Estimating optimal parameters of finite-difference scheme for wavefield modeling
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 …
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 …
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 …
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 …
of wave equations. Conventional explicit FDMs (EFDMs)(with high order in space and the …