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Bulletin of the Seismological Society of America; December 2003; v. 93; no. 6; p. 2389-2401; DOI: 10.1785/0120020224
© 2003 Seismological Society of America
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Article

n-Times Absorbing Boundary Conditions for Compact Finite-Difference Modeling of Acoustic and Elastic Wave Propagation in the 2D TI Medium

Dinghui Yang, Shuqiang Wang, Zhongjie Zhang and Jiwen Teng

Department of Mathematical Sciences
Tsinghua University
Beijing 100084, China
dhyang{at}math.tshinghua.edu.cn
(D.Y., S.W.)
Institute of Geophysics
Chinese Academy of Sciences
Beijing 100101, China
(Z.Z., J.T.)

Manuscript received 6 November 2002.

This article presents decoupling n-times absorbing boundary conditions designed to model acoustic and elastic wave propagation in a 2D transversely isotropic (TI) medium. More general n-times boundary conditions with absorbing parameters are also obtained by cascading first-order differential operators with parameters. These boundary conditions are approximated with simple finite-difference schemes for numerical simulations. The numerical results show that the absorbing for the reflection waves strengthens with increasing the absorbing times n and the discretization boundary formulas are stable. Specially, the n-times absorbing boundary condition with absorbing parameters is better than that without the absorbing parameters under the case of same absorbing order. Elastic wave fields and three-component synthetic seismograms, generated by using the compact finite-difference and the decoupling n-times absorbing boundary, also illustrate that the n-times absorbing boundary condition can eliminate effectively the spurious numerical reflections in the acoustic and elastic wave modeling for the TI medium case.




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D. Yang, J. Peng, M. Lu, and T. Terlaky
Optimal Nearly Analytic Discrete Approximation to the Scalar Wave Equation
Bulletin of the Seismological Society of America, June 1, 2006; 96(3): 1114 - 1130.
[Abstract] [Full Text] [PDF]


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An Optimal Nearly Analytic Discrete Method for 2D Acoustic and Elastic Wave Equations
Bulletin of the Seismological Society of America, October 1, 2004; 94(5): 1982 - 1992.





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