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Title: 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:
 [1];  [1]
  1. 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
Grant/Contract Number:
AC52-06NA25396
Resource Type:
Journal Article: 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. doi: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. doi:10.1190/geo2017-0430.1.
@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}
}

Journal Article:
Free Publicly Available Full Text
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