Applying an advanced temporal and spatial high-order finite-difference stencil to 3D seismic wave modeling

Xu, Shigang; Bao, Qianzong; Ren, Zhenwen; Liu, Yang

doi:10.1016/j.jcp.2021.110133

Cited by 2 publications

(2 citation statements)

References 40 publications

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“…To improve the accuracy and e ciency of the FD method, the FD stencil with added points in the diagonal direction was adopted 8,9,10 .…”

Section: Introductionmentioning

confidence: 99%

A hybrid explicit-implicit staggered-grid finite-difference scheme for the first-order acoustic wave-equation modeling

Wang¹,

Cao

Liang

2022

Preprint

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Implicit staggered-grid finite-difference (ISGFD) methods are widely used for the first-order acoustic wave-equation modeling. The identical ISGFD operator is commonly used for all of the first-order spatial derivatives in the first-order acoustic wave-equation. In this paper, we propose a hybrid explicit-implicit SGFD (HEI-SGFD) scheme which could simultaneously preserve the wave-equation simulation accuracy and increase the wave-equation simulation speed. We use a second-order explicit SGFD (ESGFD) operator for half of the first-order spatial derivatives in the first-order acoustic wave-equation. At the same time, we use the ISGFD operator with added points in the diagonal direction for the other first-order spatial derivatives in the first-order acoustic wave-equation. The proposed HEI-SGFD scheme nearly doubles the wave-equation simulation speed compared to the ISGFD schemes. In essence, the proposed HEI-SGFD scheme is equivalent to the second-order FD scheme with ordinary grid format. We then determine the HEI-SGFD coefficients in the time-space domain by minimizing the phase velocity error using the least-squares method. Finally, the effectiveness of the proposed method is demonstrated by a dispersion analysis and numerical simulations.

show abstract

“…To improve the accuracy and e ciency of the FD method, the FD stencil with added points in the diagonal direction was adopted 8,9,10 .…”

Section: Introductionmentioning

confidence: 99%

A hybrid explicit-implicit staggered-grid finite-difference scheme for the first-order acoustic wave-equation modeling

Wang¹,

Cao

Liang

2022

Preprint

View full text Add to dashboard Cite

show abstract

“…To improve the accuracy and efficiency of the FD method, the FD stencil with added points in the diagonal direction was adopted 12 – 14 . Compared to the previous high-order FD stencils, the use of these new FD stencils could improve the wave-equation simulation efficiency while preserve the high accuracy by using a larger time step.…”

Section: Introductionmentioning

confidence: 99%

A hybrid explicit implicit staggered grid finite-difference scheme for the first-order acoustic wave equation modeling

Liang

Wang

Cao

et al. 2022

Sci Rep

View full text Add to dashboard Cite

Implicit staggered-grid finite-difference (SGFD) methods are widely used for the first-order acoustic wave-equation modeling. The identical implicit SGFD operator is commonly used for all of the first-order spatial derivatives in the first-order acoustic wave-equation. In this paper, we propose a hybrid explicit implicit SGFD (HEI-SGFD) scheme which could simultaneously preserve the wave-equation simulation accuracy and increase the wave-equation simulation speed. We use a second-order explicit SGFD operator for half of the first-order spatial derivatives in the first-order acoustic wave-equation. At the same time, we use the implicit SGFD operator with added points in the diagonal direction for the other first-order spatial derivatives in the first-order acoustic wave-equation. The proposed HEI-SGFD scheme nearly doubles the wave-equation simulation speed compared to the implicit SGFD schemes. In essence, the proposed HEI-SGFD scheme is equivalent to the second-order FD scheme with ordinary grid format. We then determine the HEI-SGFD coefficients in the time–space domain by minimizing the phase velocity error using the least-squares method. Finally, the effectiveness of the proposed method is demonstrated by dispersion analysis and numerical simulations.

show abstract

Applying an advanced temporal and spatial high-order finite-difference stencil to 3D seismic wave modeling

Cited by 2 publications

References 40 publications

A hybrid explicit-implicit staggered-grid finite-difference scheme for the first-order acoustic wave-equation modeling

A hybrid explicit-implicit staggered-grid finite-difference scheme for the first-order acoustic wave-equation modeling

A hybrid explicit implicit staggered grid finite-difference scheme for the first-order acoustic wave equation modeling

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