A hybrid scheme for absorbing edge reflections in numerical modeling of wave propagation

Yang Liu; Mrinal K. Sen

doi:10.1190/1.3295447

A hybrid scheme for absorbing edge reflections in numerical modeling of wave propagation

Yang Liu, Mrinal K. Sen

Research output: Contribution to journal › Article › peer-review

126 Scopus citations

Abstract

We propose an efficient scheme to absorb reflections from the model boundaries in numerical solutions of wave equations. This scheme divides the computational domain into boundary, transition, and inner areas. The wavefields within the inner and boundary areas are computed by the wave equation and the one-way wave equation, respectively. The wavefields within the transition area are determined by a weighted combination of the wavefields computed by the wave equation and the one-way wave equation to obtain a smooth variation from the inner area to the boundary via the transition zone. The results from our finite-difference numerical modeling tests of the 2D acoustic wave equation show that the absorption enforced by this scheme gradually increases with increasing width of the transition area. We obtain equally good performance using pseudospectral and finite-element modeling with the same scheme. Our numerical experiments demonstrate that use of 10 grid points for absorbing edge reflections attains nearly perfect absorption. © 2010 Society of Exploration Geophysicists.

Original language	English (US)
Pages (from-to)	A1-A6
Number of pages	1
Journal	GEOPHYSICS
Volume	75
Issue number	2
DOIs	https://doi.org/10.1190/1.3295447
State	Published - Mar 2010
Externally published	Yes

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: We thank assistant editor Johan Robertsson, the letters associate editor, and three anonymous reviewers for constructive criticism of our paper. Liu would like to thank the China Scholarship Council for financial support for this research and The University of Texas at Austin Institute for Geophysics (UTIG) for providing the facilities. This research was also partially supported by the National Natural Science Foundation of China under contract 40839901, the National 863 Program of China under contract 2007AA06Z218, and a KAUST grant to The University of Texas at Austin.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.

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title = "A hybrid scheme for absorbing edge reflections in numerical modeling of wave propagation",

abstract = "We propose an efficient scheme to absorb reflections from the model boundaries in numerical solutions of wave equations. This scheme divides the computational domain into boundary, transition, and inner areas. The wavefields within the inner and boundary areas are computed by the wave equation and the one-way wave equation, respectively. The wavefields within the transition area are determined by a weighted combination of the wavefields computed by the wave equation and the one-way wave equation to obtain a smooth variation from the inner area to the boundary via the transition zone. The results from our finite-difference numerical modeling tests of the 2D acoustic wave equation show that the absorption enforced by this scheme gradually increases with increasing width of the transition area. We obtain equally good performance using pseudospectral and finite-element modeling with the same scheme. Our numerical experiments demonstrate that use of 10 grid points for absorbing edge reflections attains nearly perfect absorption. {\textcopyright} 2010 Society of Exploration Geophysicists.",

author = "Yang Liu and Sen, {Mrinal K.}",

note = "KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: We thank assistant editor Johan Robertsson, the letters associate editor, and three anonymous reviewers for constructive criticism of our paper. Liu would like to thank the China Scholarship Council for financial support for this research and The University of Texas at Austin Institute for Geophysics (UTIG) for providing the facilities. This research was also partially supported by the National Natural Science Foundation of China under contract 40839901, the National 863 Program of China under contract 2007AA06Z218, and a KAUST grant to The University of Texas at Austin. This publication acknowledges KAUST support, but has no KAUST affiliated authors.",

year = "2010",

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doi = "10.1190/1.3295447",

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AU - Sen, Mrinal K.

N1 - KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: We thank assistant editor Johan Robertsson, the letters associate editor, and three anonymous reviewers for constructive criticism of our paper. Liu would like to thank the China Scholarship Council for financial support for this research and The University of Texas at Austin Institute for Geophysics (UTIG) for providing the facilities. This research was also partially supported by the National Natural Science Foundation of China under contract 40839901, the National 863 Program of China under contract 2007AA06Z218, and a KAUST grant to The University of Texas at Austin. This publication acknowledges KAUST support, but has no KAUST affiliated authors.

PY - 2010/3

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N2 - We propose an efficient scheme to absorb reflections from the model boundaries in numerical solutions of wave equations. This scheme divides the computational domain into boundary, transition, and inner areas. The wavefields within the inner and boundary areas are computed by the wave equation and the one-way wave equation, respectively. The wavefields within the transition area are determined by a weighted combination of the wavefields computed by the wave equation and the one-way wave equation to obtain a smooth variation from the inner area to the boundary via the transition zone. The results from our finite-difference numerical modeling tests of the 2D acoustic wave equation show that the absorption enforced by this scheme gradually increases with increasing width of the transition area. We obtain equally good performance using pseudospectral and finite-element modeling with the same scheme. Our numerical experiments demonstrate that use of 10 grid points for absorbing edge reflections attains nearly perfect absorption. © 2010 Society of Exploration Geophysicists.

AB - We propose an efficient scheme to absorb reflections from the model boundaries in numerical solutions of wave equations. This scheme divides the computational domain into boundary, transition, and inner areas. The wavefields within the inner and boundary areas are computed by the wave equation and the one-way wave equation, respectively. The wavefields within the transition area are determined by a weighted combination of the wavefields computed by the wave equation and the one-way wave equation to obtain a smooth variation from the inner area to the boundary via the transition zone. The results from our finite-difference numerical modeling tests of the 2D acoustic wave equation show that the absorption enforced by this scheme gradually increases with increasing width of the transition area. We obtain equally good performance using pseudospectral and finite-element modeling with the same scheme. Our numerical experiments demonstrate that use of 10 grid points for absorbing edge reflections attains nearly perfect absorption. © 2010 Society of Exploration Geophysicists.

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A hybrid scheme for absorbing edge reflections in numerical modeling of wave propagation

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