Analysis of a finite-difference solution to 3-D elastic wave propagation

Dominique Rodrigues; Peter Mora

doi:10.1190/1.1821961

Analysis of a finite-difference solution to 3-D elastic wave propagation

Dominique Rodrigues^*, Peter Mora

^*Corresponding author for this work

Research output: Contribution to conference › Paper › peer-review

8 Scopus citations

Abstract

In order to advance towards realistic large scale modeling, we analyze a high order finite differences scheme for solving the elastic wave equation in 3D homogeneous media. We study the spatial differentiation and stability for the case of Holberg's coefficients [1987]. An analysis of dispersion is done in the general case of Taylor's expansion in time and applied to the Holberg's coefficients. We can use them for a fourth order in time and eighth order in space discretization in a staggered grid with at least 3 points per wavelength. Numerical solutions of Green's functions are used to check analytical predictions on phase velocity error.

Original language	English
Pages	1247-1250
Number of pages	4
DOIs	https://doi.org/10.1190/1.1821961
State	Published - 1992
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 1992 SEG Annual Meeting. All rights reserved.

ASJC Scopus subject areas

Geophysics

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10.1190/1.1821961

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title = "Analysis of a finite-difference solution to 3-D elastic wave propagation",

abstract = "In order to advance towards realistic large scale modeling, we analyze a high order finite differences scheme for solving the elastic wave equation in 3D homogeneous media. We study the spatial differentiation and stability for the case of Holberg's coefficients [1987]. An analysis of dispersion is done in the general case of Taylor's expansion in time and applied to the Holberg's coefficients. We can use them for a fourth order in time and eighth order in space discretization in a staggered grid with at least 3 points per wavelength. Numerical solutions of Green's functions are used to check analytical predictions on phase velocity error.",

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AU - Rodrigues, Dominique

AU - Mora, Peter

PY - 1992

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N2 - In order to advance towards realistic large scale modeling, we analyze a high order finite differences scheme for solving the elastic wave equation in 3D homogeneous media. We study the spatial differentiation and stability for the case of Holberg's coefficients [1987]. An analysis of dispersion is done in the general case of Taylor's expansion in time and applied to the Holberg's coefficients. We can use them for a fourth order in time and eighth order in space discretization in a staggered grid with at least 3 points per wavelength. Numerical solutions of Green's functions are used to check analytical predictions on phase velocity error.

AB - In order to advance towards realistic large scale modeling, we analyze a high order finite differences scheme for solving the elastic wave equation in 3D homogeneous media. We study the spatial differentiation and stability for the case of Holberg's coefficients [1987]. An analysis of dispersion is done in the general case of Taylor's expansion in time and applied to the Holberg's coefficients. We can use them for a fourth order in time and eighth order in space discretization in a staggered grid with at least 3 points per wavelength. Numerical solutions of Green's functions are used to check analytical predictions on phase velocity error.

UR - https://www.scopus.com/pages/publications/84984503997

U2 - 10.1190/1.1821961

DO - 10.1190/1.1821961

M3 - Paper

AN - SCOPUS:84984503997

SP - 1247

EP - 1250

ER -

Analysis of a finite-difference solution to 3-D elastic wave propagation

Abstract

Bibliographical note

ASJC Scopus subject areas

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