Geodesic
Absorbing Boundary Conditions for 2D Tilted Transverse Isotropic elastic media
Hélène Barucq1 ; Lionel Boillot1 ; Henri Calandra2 ; Julien Diaz1
1 INRIA Bordeaux Sud-Ouest, Equipe projet Magique-3D, LMA - UMR CNRS 5142, Université de Pau et des Pays de l’Adour, Avenue de l’Université, BP 1155, 64013 PAU cedex
2 TOTAL Exploration & Production, Depth Imaging and High Performance Computing, Avenue Larribau, 64018 PAU
ESAIM. Proceedings, Tome 45 (2014), pp. 400-409.

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This work deals with the construction of a low-order absorbing boundary condition (ABC) for 2D elliptic TTI media, preserving the system stability. The construction is based on comparing and then connecting the slowness curves for isotropic and elliptic TTI waves. Numerical experiments illustrate the performance of the new ABC. They are performed by integrating the ABC in a DG formulation of Elastodynamics. When applied in a TTI medium, the new ABC performs well with the same level of accuracy than the standard isotropic ABC set in an isotropic medium. The condition demonstrates also a good robustness when applied for large times of simulation.
DOI : 10.1051/proc/201445041

Hélène Barucq 1 ; Lionel Boillot 1 ; Henri Calandra 2 ; Julien Diaz 1

1 INRIA Bordeaux Sud-Ouest, Equipe projet Magique-3D, LMA - UMR CNRS 5142, Université de Pau et des Pays de l’Adour, Avenue de l’Université, BP 1155, 64013 PAU cedex
2 TOTAL Exploration & Production, Depth Imaging and High Performance Computing, Avenue Larribau, 64018 PAU 
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     author = {H\'el\`ene Barucq and Lionel Boillot and Henri Calandra and Julien Diaz},
     title = {Absorbing {Boundary} {Conditions} for {2D} {Tilted} {Transverse} {Isotropic} elastic media},
     journal = {ESAIM. Proceedings},
     pages = {400--409},
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     volume = {45},
     year = {2014},
     doi = {10.1051/proc/201445041},
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Hélène Barucq; Lionel Boillot; Henri Calandra; Julien Diaz. Absorbing Boundary Conditions for 2D Tilted Transverse Isotropic elastic media. ESAIM. Proceedings, Tome 45 (2014), pp. 400-409. doi : 10.1051/proc/201445041. http://geodesic.mathdoc.fr/articles/10.1051/proc/201445041/

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