Institute of Computational Mathematics and Mathematical Geophysics SB RAS

International Conference on Mathematical Methods in Geophysics «MMG-2008»

Akademgorodok, Novosibirsk, Russia, October 13-15, 2008

Abstracts

Mathematical Simulation in Geophysical Problems. Seismic Methods, Problems of Geomonitoring and Geodynamics

Transparent Boundary Conditions for the Elastic Homogeneous: Anisotropic VTI Media: Axial-Symmetric Case

Podgornova O.V., Sofronov I.L.

Keldysh Institute of Applied Mathematics (Moscow)

Generation of non-reflecting boundary conditions for linear elastodynamics in anisotropic media is a challenging problem: commonly used perfectly matched layers (PML) are unstable for some anisotropic media. Here we formulate non-reflecting boundary conditions for the homogeneous anisotropic VTI axial-symmetric case on the basis of transparent boundary conditions (TBC). The resulting analytical formulas of TBC contain a non-local operator which we approximate numerically for efficient calculations. We provide numerical experiments demonstrated the high accuracy of the derived boundary conditions.

Note. Abstracts are published in author's edition

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