A mimetic finite-difference method for acoustic-wave modeling on arbitrary meshes

Konstantin Lipnikov; Lianjie Huang

A mimetic finite-difference method for acoustic-wave modeling on arbitrary meshes

Konstantin Lipnikov^*
, Lianjie Huang

^*Corresponding author for this work

Los Alamos National Laboratory

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

Accurate modeling of wave propagation and scattering in media containing fine structures and sharp interfaces with complex shapes is a challenging task. We introduce a mimetic finite-difference method for modeling acoustic-wave propagation in complex media. This method incorporates fundamental physical principles in the discretization of the acoustic-wave equation. The free surface boundary conditions are naturally embedded into the scheme. Unstructured polygonal meshes are used to represent complex shapes of interfaces, irregular and fine inclusions, and complex surface topography. Locally refined meshes can be employed in regions with different wave speeds. We numerically demonstrate that the new method can accurately simulate complex wave phenomena.

Original language	English
Title of host publication	78th Society of Exploration Geophysicists International Exposition and Annual Meeting, SEG 2008
Publisher	Society of Exploration Geophysicists
Pages	2067-2071
Number of pages	5
ISBN (Print)	9781605607856
State	Published - 2018
Externally published	Yes
Event	78th Society of Exploration Geophysicists International Exposition and Annual Meeting, SEG 2008 - Las Vegas, United States Duration: 9 Nov 2008 → 14 Nov 2008

Publication series

Name	78th Society of Exploration Geophysicists International Exposition and Annual Meeting, SEG 2008

Conference

Conference	78th Society of Exploration Geophysicists International Exposition and Annual Meeting, SEG 2008
Country/Territory	United States
City	Las Vegas
Period	9/11/08 → 14/11/08

Cite this

Lipnikov, K., & Huang, L. (2018). A mimetic finite-difference method for acoustic-wave modeling on arbitrary meshes. In 78th Society of Exploration Geophysicists International Exposition and Annual Meeting, SEG 2008 (pp. 2067-2071). (78th Society of Exploration Geophysicists International Exposition and Annual Meeting, SEG 2008). Society of Exploration Geophysicists.

Lipnikov, Konstantin ; Huang, Lianjie. / A mimetic finite-difference method for acoustic-wave modeling on arbitrary meshes. 78th Society of Exploration Geophysicists International Exposition and Annual Meeting, SEG 2008. Society of Exploration Geophysicists, 2018. pp. 2067-2071 (78th Society of Exploration Geophysicists International Exposition and Annual Meeting, SEG 2008).

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title = "A mimetic finite-difference method for acoustic-wave modeling on arbitrary meshes",

abstract = "Accurate modeling of wave propagation and scattering in media containing fine structures and sharp interfaces with complex shapes is a challenging task. We introduce a mimetic finite-difference method for modeling acoustic-wave propagation in complex media. This method incorporates fundamental physical principles in the discretization of the acoustic-wave equation. The free surface boundary conditions are naturally embedded into the scheme. Unstructured polygonal meshes are used to represent complex shapes of interfaces, irregular and fine inclusions, and complex surface topography. Locally refined meshes can be employed in regions with different wave speeds. We numerically demonstrate that the new method can accurately simulate complex wave phenomena.",

author = "Konstantin Lipnikov and Lianjie Huang",

note = "Publisher Copyright: Copyright {\textcopyright} (2008) by the Society of Exploration Geophysicists All rights reserved.; 78th Society of Exploration Geophysicists International Exposition and Annual Meeting, SEG 2008 ; Conference date: 09-11-2008 Through 14-11-2008",

year = "2018",

language = "英语",

isbn = "9781605607856",

series = "78th Society of Exploration Geophysicists International Exposition and Annual Meeting, SEG 2008",

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address = "美国",

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Lipnikov, K & Huang, L 2018, A mimetic finite-difference method for acoustic-wave modeling on arbitrary meshes. in 78th Society of Exploration Geophysicists International Exposition and Annual Meeting, SEG 2008. 78th Society of Exploration Geophysicists International Exposition and Annual Meeting, SEG 2008, Society of Exploration Geophysicists, pp. 2067-2071, 78th Society of Exploration Geophysicists International Exposition and Annual Meeting, SEG 2008, Las Vegas, United States, 9/11/08.

A mimetic finite-difference method for acoustic-wave modeling on arbitrary meshes. / Lipnikov, Konstantin; Huang, Lianjie.
78th Society of Exploration Geophysicists International Exposition and Annual Meeting, SEG 2008. Society of Exploration Geophysicists, 2018. p. 2067-2071 (78th Society of Exploration Geophysicists International Exposition and Annual Meeting, SEG 2008).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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N2 - Accurate modeling of wave propagation and scattering in media containing fine structures and sharp interfaces with complex shapes is a challenging task. We introduce a mimetic finite-difference method for modeling acoustic-wave propagation in complex media. This method incorporates fundamental physical principles in the discretization of the acoustic-wave equation. The free surface boundary conditions are naturally embedded into the scheme. Unstructured polygonal meshes are used to represent complex shapes of interfaces, irregular and fine inclusions, and complex surface topography. Locally refined meshes can be employed in regions with different wave speeds. We numerically demonstrate that the new method can accurately simulate complex wave phenomena.

AB - Accurate modeling of wave propagation and scattering in media containing fine structures and sharp interfaces with complex shapes is a challenging task. We introduce a mimetic finite-difference method for modeling acoustic-wave propagation in complex media. This method incorporates fundamental physical principles in the discretization of the acoustic-wave equation. The free surface boundary conditions are naturally embedded into the scheme. Unstructured polygonal meshes are used to represent complex shapes of interfaces, irregular and fine inclusions, and complex surface topography. Locally refined meshes can be employed in regions with different wave speeds. We numerically demonstrate that the new method can accurately simulate complex wave phenomena.

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Y2 - 9 November 2008 through 14 November 2008

ER -

A mimetic finite-difference method for acoustic-wave modeling on arbitrary meshes

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