Optimal damping profile ratios for stabilization of perfectly matched layers in general anisotropic media
Abstract
Conventional perfectly matched layers (PML) can be unstable for certain kinds of anisotropic media. Multi-axial PML removes such instability using nonzero damping coe cients in the directions tangential with the PML interface. While using non-zero damping pro le ratios can stabilize PML, it is important to obtain the smallest possible damping pro le ratios to minimize arti cial re ections caused by these non-zero ratios, particularly for 3D general anisotropic media. Using the eigenvectors of the PML system matrix, we develop a straightforward and e cient numerical algorithm to determine the optimal damping pro le ratios to stabilize PML in 2D and 3D general anisotropic media. Numerical examples show that our algorithm provides optimal damping pro le ratios to ensure the stability of PML and complex-frequency-shifted PML for elastic-wave modeling in 2D and 3D general anisotropic media.
- Authors:
-
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Publication Date:
- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE Office of Fossil Energy (FE). Oil and Natural Gas (FE-30),
- OSTI Identifier:
- 1425757
- Report Number(s):
- LA-UR-16-26641
Journal ID: ISSN 0016-8033; TRN: US1802157
- Grant/Contract Number:
- AC52-06NA25396
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Geophysics
- Additional Journal Information:
- Journal Volume: 83; Journal Issue: 1; Journal ID: ISSN 0016-8033
- Publisher:
- Society of Exploration Geophysicists
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Earth Sciences
Citation Formats
Gao, Kai, and Huang, Lianjie. Optimal damping profile ratios for stabilization of perfectly matched layers in general anisotropic media. United States: N. p., 2017.
Web. doi:10.1190/geo2017-0430.1.
Gao, Kai, & Huang, Lianjie. Optimal damping profile ratios for stabilization of perfectly matched layers in general anisotropic media. United States. https://doi.org/10.1190/geo2017-0430.1
Gao, Kai, and Huang, Lianjie. Mon .
"Optimal damping profile ratios for stabilization of perfectly matched layers in general anisotropic media". United States. https://doi.org/10.1190/geo2017-0430.1. https://www.osti.gov/servlets/purl/1425757.
@article{osti_1425757,
title = {Optimal damping profile ratios for stabilization of perfectly matched layers in general anisotropic media},
author = {Gao, Kai and Huang, Lianjie},
abstractNote = {Conventional perfectly matched layers (PML) can be unstable for certain kinds of anisotropic media. Multi-axial PML removes such instability using nonzero damping coe cients in the directions tangential with the PML interface. While using non-zero damping pro le ratios can stabilize PML, it is important to obtain the smallest possible damping pro le ratios to minimize arti cial re ections caused by these non-zero ratios, particularly for 3D general anisotropic media. Using the eigenvectors of the PML system matrix, we develop a straightforward and e cient numerical algorithm to determine the optimal damping pro le ratios to stabilize PML in 2D and 3D general anisotropic media. Numerical examples show that our algorithm provides optimal damping pro le ratios to ensure the stability of PML and complex-frequency-shifted PML for elastic-wave modeling in 2D and 3D general anisotropic media.},
doi = {10.1190/geo2017-0430.1},
journal = {Geophysics},
number = 1,
volume = 83,
place = {United States},
year = {Mon Nov 13 00:00:00 EST 2017},
month = {Mon Nov 13 00:00:00 EST 2017}
}
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Works referencing / citing this record:
Cosine-type weighted hybrid absorbing boundary based on the second-order Higdon boundary condition and its GPU implementation
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- Xie, Chuang; Song, Peng; Tan, Jun
- Journal of Geophysics and Engineering, Vol. 17, Issue 2
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- GEOPHYSICS, Vol. 84, Issue 6