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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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