Perfectly matched layers for elastodynamics: A new absorbing boundary condition

Journal of Computational Acoustics

Volumn 4, Issue 4, 1996, Pages 341-359

  Chew, W C ^a   Liu, Q H ^b,c  

^a University of Illinois at Urbana Champaign   (United States)

^b New Mexico State University   (United States)

^c SCHLUMBERGER DOLL RESEARCH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030444273     PISSN: 0218396X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218396X96000118     Document Type: Article

References (23)

1. Z. Alterman and P. Kornfeld, "Finite difference solution for pulse propagation in a sphere," Israel J. Technology 6 (1968), 365-371.
2. M. Ottaviani, "Elastic-wave propagation in two evenly welded quarter spaces," Bull. Seism. Soc. Am. 61 (1971), 1119-1152.
3. D. M. Boore, "Finite difference methods for seismic waves," Methods in Computational Physics 11, ed. B. A. Bolt (Academic Press Inc., 1972), 1-37.
4. R. Madariaga, "Dynamics of an expanding circular fault," Bull. Seism. Soc. Am. 59 (1976), 639-666.
5. K. S. Yee, "Numerical solution of initial boundary value problems involving Maxwell's equation in isotropic media," IEEE Trans. Antennas Propagat. AP-14 (1966), 302-307.
6. J. Virieux, "SH-wave propagation in heterogeneous media: Velocity-stress finite-difference method," Geophysics 49 (1984), 1933-1957.
7. R. A. Stephen, F. Cardo-Casas, and C. H. Cheng, "Finite-difference synthetic acoustic logs," Geophysics 50 (1985), 1588-1609.
8. C. J. Randall, "Absorbing boundary condition for the elastic wave equation: Velocity-stress formulation," Geophysics 54 (1989), 1141-1152.
9. C. J. Randall, D. J. Scheibner, and P. T. Wu, "Multipole borehole acoustic waveforms: Synthetic logs with beds and borehole washouts," Geophysics 56 (1991), 1757-1769.
10. C. J. Randall, "Multipole acoustic waveforms in nonaxisymmetric boreholes and formations," J. Acoust. Soc. Am. 90 (1991), 1620-1631.
11. H. D. Leslie and C. J. Randall, "Multipole sources in boreholes penetrating anisotropic formations: Numerical and experimental results," J. Acoust. Soc. Am. 91 (1992), 12-27.
12. A. Track, F. Daube, and M. Oristaglio, "3-D cross-well simulation and applications," Proc. 62nd Annual Meeting of Soc. Explor. Geophys. (Houston, TX, 1992), 75-78.
13. K. H. Yoon, and G. A. McMechan, "3-D finite-difference modelling of elastic waves in borehole environments," Geophysics 57 (1992), 793-804.
14. Q.-H. Liu, E. Schoen, F. Daube, C. Randall, H.-L. Liu, and P. Lee, "Large-scale 3D finite-difference simulation of elastic wave propagation in borehole environments," 128th Meeting of the Acoustical Society of America (Austin, TX, 1994), pp. 76.
15. N. Cheng, C. H. Cheng, and M. N. Toksöz, "Borehole wave propagation in three dimensions," J. Acous. Soc. Am. 97 (1995), 3483-3493.
16. Q.-H. Liu, E. Schoen, F. Daube, C. Randall, H.-L. Liu, and P. Lee, "A 3D finite difference simulation of sonic logging," J. Acous. Soc. Am. 100 (1996), 72-79.
17. Z. P. Liao, H. L. Wong, B. P. Yang, and Y. F. Yuan, "A transmitting boundary for transient wave analysis," Scientia Sinica A 27 (1984), 1063-1076.
18. R. L. Higdon, "Numerical absorbing boundary conditions for the wave equation," Math. Comput. 49 (1987), 65-90.
19. J.-P. Berenger, "A perfectly matched layer for the absorption of electromagnetic waves," J. Computational Physics 114 (1994), 185-200.
20. W. C. Chew and W. H. Weedon, "A 3D perfectly matched medium from modified Maxwell's equations with stretched coordinates," Micro. Opt. Tech. Lett. 7 (1994), 599-604.
21. W. C. Chew, W. H. Weedon, and A. Sezginer, "A 3-D perfectly matched medium by coordinate stretching and its absorption of static fields," ACES Digest (Monterey, CA, 1995).
22. W. C. Chew, Waves and Fields in Inhomogeneous Media (Van Nostrand, New York, 1990), pp. 239-242.
23. W. C. Chew and J. M. Jin, "Analysis of perfectly matched layers using lattice EM theory in a discretized world," URSI Digest (Newport Beach, June 1995), p. 338.