Absorbing Boundary Conditions for 2D Tilted Transverse Isotropic elastic media *

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. Numer...

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Main Authors: Barucq Hélène, Boillot Lionel, Calandra Henri, Diaz Julien
Format: Article
Language:English
Published: EDP Sciences 2014-09-01
Series:ESAIM: Proceedings and Surveys
Online Access:http://dx.doi.org/10.1051/proc/201445041
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author Barucq Hélène
Boillot Lionel
Calandra Henri
Diaz Julien
author_facet Barucq Hélène
Boillot Lionel
Calandra Henri
Diaz Julien
author_sort Barucq Hélène
collection DOAJ
description 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.
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spelling doaj.art-9828c0e1616d47128a42a0b5665448372023-01-03T04:58:54ZengEDP SciencesESAIM: Proceedings and Surveys2267-30592014-09-014540040910.1051/proc/201445041proc144541Absorbing Boundary Conditions for 2D Tilted Transverse Isotropic elastic media *Barucq Hélène0Boillot Lionel1Calandra Henri2Diaz Julien3INRIA Bordeaux Sud-Ouest, Equipe projet Magique-3D, LMA - UMR CNRS 5142, Université de Pau et des Pays de l’AdourINRIA Bordeaux Sud-Ouest, Equipe projet Magique-3D, LMA - UMR CNRS 5142, Université de Pau et des Pays de l’AdourTOTAL Exploration & Production, Depth Imaging and High Performance ComputingINRIA Bordeaux Sud-Ouest, Equipe projet Magique-3D, LMA - UMR CNRS 5142, Université de Pau et des Pays de l’AdourThis 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.http://dx.doi.org/10.1051/proc/201445041
spellingShingle Barucq Hélène
Boillot Lionel
Calandra Henri
Diaz Julien
Absorbing Boundary Conditions for 2D Tilted Transverse Isotropic elastic media *
ESAIM: Proceedings and Surveys
title Absorbing Boundary Conditions for 2D Tilted Transverse Isotropic elastic media *
title_full Absorbing Boundary Conditions for 2D Tilted Transverse Isotropic elastic media *
title_fullStr Absorbing Boundary Conditions for 2D Tilted Transverse Isotropic elastic media *
title_full_unstemmed Absorbing Boundary Conditions for 2D Tilted Transverse Isotropic elastic media *
title_short Absorbing Boundary Conditions for 2D Tilted Transverse Isotropic elastic media *
title_sort absorbing boundary conditions for 2d tilted transverse isotropic elastic media
url http://dx.doi.org/10.1051/proc/201445041
work_keys_str_mv AT barucqhelene absorbingboundaryconditionsfor2dtiltedtransverseisotropicelasticmedia
AT boillotlionel absorbingboundaryconditionsfor2dtiltedtransverseisotropicelasticmedia
AT calandrahenri absorbingboundaryconditionsfor2dtiltedtransverseisotropicelasticmedia
AT diazjulien absorbingboundaryconditionsfor2dtiltedtransverseisotropicelasticmedia