Commun. Comput. Phys., 11 (2012), pp. 541-554.


Transparent Boundary Conditions for Elastic Anisotropic VTI Media: Axially Symmetric Case

Olga Podgornova 1*

1 Schlumberger Moscow Research, 13, Pudovkina, 119285, Russia.

Received 22 December 2009; Accepted (in revised version) 5 May 2011
Available online 24 October 2011
doi:10.4208/cicp.221209.050511s

Abstract

Transparent boundary conditions (TBCs) for anisotropic vertical transverse isotropic VTI medium are formulated for the axially symmetric case. The high accuracy of the derived TBCs and their long-time stability are demonstrated in numerical experiments. The TBCs are represented in terms of the vertical component of the velocity vector and tangential component of the stress tensor that facilitates the easy implementation of the boundary condition into the finite-difference staggered-grid scheme.

AMS subject classifications: 65M99, 35L05, 30E10, 74E10, 74B05

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Key words: Nonreflecting boundary conditions, anisotropy, elastodynamics.

*Corresponding author.
Email: opodgornova@slb.com (O. Podgornova)
 

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