Absorbing boundary conditions for 3D anisotropic media
- Autores
- Gauzellino, Patricia Mercedes; Santos, Juan Enrique
- Año de publicación
- 2017
- Idioma
- inglés
- Tipo de recurso
- documento de conferencia
- Estado
- versión publicada
- Descripción
- Seismic methods of subsurface exploration are based on mechanical wave propagation and the numerical modeling of these phenomena is a worthy tool that can be applied as a complement. Since small regions of Earth’s crust are studied, it is necessary to consider absorbing boundary conditions for solving the wave equations efficiently. Therefore, this work presents a derivation of low-order absorbing boundary conditions at the artificial boundaries of the computational domain with the purpose of minimizing spurious reflections. Laboring on a surface S, which separates disturbed and undisturbed regions of the domain, the equations for the absorbing boundary conditons are derived from kinematic conditions, considering continuity of the displacements across S and dynamic conditions, using momentum equations of the wave fronts arriving normally to S and expressions for the strain energy density along S. The arguments to obtain non-reflecting artificial boundaries are carried out for the more general case, through the generalized Hooke’s law. In this way, an isotropic medium is included in this derivation. The performance of these absorbing boundary conditions is illustrated for different models of effective anisotropy -vertically and tilted transversely isotropic media- and, obviously, for isotropic media. The numerical simulations use these absorbing boundary conditions to propagate waves in anisotropic media using an iterative domain decomposition finite element procedure that is implemented in machines with parallel architecture.
Publicado en: Mecánica Computacional vol. XXXV, no. 2
Facultad de Ingeniería - Materia
-
Ingeniería
Boundary conditions
Anisotropy
Finite elements
Mechanical waves - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- http://creativecommons.org/licenses/by-nc-sa/4.0/
- Repositorio
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/94202
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Absorbing boundary conditions for 3D anisotropic mediaGauzellino, Patricia MercedesSantos, Juan EnriqueIngenieríaBoundary conditionsAnisotropyFinite elementsMechanical wavesSeismic methods of subsurface exploration are based on mechanical wave propagation and the numerical modeling of these phenomena is a worthy tool that can be applied as a complement. Since small regions of Earth’s crust are studied, it is necessary to consider absorbing boundary conditions for solving the wave equations efficiently. Therefore, this work presents a derivation of low-order absorbing boundary conditions at the artificial boundaries of the computational domain with the purpose of minimizing spurious reflections. Laboring on a surface S, which separates disturbed and undisturbed regions of the domain, the equations for the absorbing boundary conditons are derived from kinematic conditions, considering continuity of the displacements across S and dynamic conditions, using momentum equations of the wave fronts arriving normally to S and expressions for the strain energy density along S. The arguments to obtain non-reflecting artificial boundaries are carried out for the more general case, through the generalized Hooke’s law. In this way, an isotropic medium is included in this derivation. The performance of these absorbing boundary conditions is illustrated for different models of effective anisotropy -vertically and tilted transversely isotropic media- and, obviously, for isotropic media. The numerical simulations use these absorbing boundary conditions to propagate waves in anisotropic media using an iterative domain decomposition finite element procedure that is implemented in machines with parallel architecture.Publicado en: <i>Mecánica Computacional</i> vol. XXXV, no. 2Facultad de Ingeniería2017-11info:eu-repo/semantics/conferenceObjectinfo:eu-repo/semantics/publishedVersionObjeto de conferenciahttp://purl.org/coar/resource_type/c_5794info:ar-repo/semantics/documentoDeConferenciaapplication/pdf39-47http://sedici.unlp.edu.ar/handle/10915/94202enginfo:eu-repo/semantics/altIdentifier/url/https://cimec.org.ar/ojs/index.php/mc/article/view/5235info:eu-repo/semantics/altIdentifier/issn/2591-3522info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:19:36Zoai:sedici.unlp.edu.ar:10915/94202Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:19:36.917SEDICI (UNLP) - Universidad Nacional de La Platafalse |
dc.title.none.fl_str_mv |
Absorbing boundary conditions for 3D anisotropic media |
title |
Absorbing boundary conditions for 3D anisotropic media |
spellingShingle |
Absorbing boundary conditions for 3D anisotropic media Gauzellino, Patricia Mercedes Ingeniería Boundary conditions Anisotropy Finite elements Mechanical waves |
title_short |
Absorbing boundary conditions for 3D anisotropic media |
title_full |
Absorbing boundary conditions for 3D anisotropic media |
title_fullStr |
Absorbing boundary conditions for 3D anisotropic media |
title_full_unstemmed |
Absorbing boundary conditions for 3D anisotropic media |
title_sort |
Absorbing boundary conditions for 3D anisotropic media |
dc.creator.none.fl_str_mv |
Gauzellino, Patricia Mercedes Santos, Juan Enrique |
author |
Gauzellino, Patricia Mercedes |
author_facet |
Gauzellino, Patricia Mercedes Santos, Juan Enrique |
author_role |
author |
author2 |
Santos, Juan Enrique |
author2_role |
author |
dc.subject.none.fl_str_mv |
Ingeniería Boundary conditions Anisotropy Finite elements Mechanical waves |
topic |
Ingeniería Boundary conditions Anisotropy Finite elements Mechanical waves |
dc.description.none.fl_txt_mv |
Seismic methods of subsurface exploration are based on mechanical wave propagation and the numerical modeling of these phenomena is a worthy tool that can be applied as a complement. Since small regions of Earth’s crust are studied, it is necessary to consider absorbing boundary conditions for solving the wave equations efficiently. Therefore, this work presents a derivation of low-order absorbing boundary conditions at the artificial boundaries of the computational domain with the purpose of minimizing spurious reflections. Laboring on a surface S, which separates disturbed and undisturbed regions of the domain, the equations for the absorbing boundary conditons are derived from kinematic conditions, considering continuity of the displacements across S and dynamic conditions, using momentum equations of the wave fronts arriving normally to S and expressions for the strain energy density along S. The arguments to obtain non-reflecting artificial boundaries are carried out for the more general case, through the generalized Hooke’s law. In this way, an isotropic medium is included in this derivation. The performance of these absorbing boundary conditions is illustrated for different models of effective anisotropy -vertically and tilted transversely isotropic media- and, obviously, for isotropic media. The numerical simulations use these absorbing boundary conditions to propagate waves in anisotropic media using an iterative domain decomposition finite element procedure that is implemented in machines with parallel architecture. Publicado en: <i>Mecánica Computacional</i> vol. XXXV, no. 2 Facultad de Ingeniería |
description |
Seismic methods of subsurface exploration are based on mechanical wave propagation and the numerical modeling of these phenomena is a worthy tool that can be applied as a complement. Since small regions of Earth’s crust are studied, it is necessary to consider absorbing boundary conditions for solving the wave equations efficiently. Therefore, this work presents a derivation of low-order absorbing boundary conditions at the artificial boundaries of the computational domain with the purpose of minimizing spurious reflections. Laboring on a surface S, which separates disturbed and undisturbed regions of the domain, the equations for the absorbing boundary conditons are derived from kinematic conditions, considering continuity of the displacements across S and dynamic conditions, using momentum equations of the wave fronts arriving normally to S and expressions for the strain energy density along S. The arguments to obtain non-reflecting artificial boundaries are carried out for the more general case, through the generalized Hooke’s law. In this way, an isotropic medium is included in this derivation. The performance of these absorbing boundary conditions is illustrated for different models of effective anisotropy -vertically and tilted transversely isotropic media- and, obviously, for isotropic media. The numerical simulations use these absorbing boundary conditions to propagate waves in anisotropic media using an iterative domain decomposition finite element procedure that is implemented in machines with parallel architecture. |
publishDate |
2017 |
dc.date.none.fl_str_mv |
2017-11 |
dc.type.none.fl_str_mv |
info:eu-repo/semantics/conferenceObject info:eu-repo/semantics/publishedVersion Objeto de conferencia http://purl.org/coar/resource_type/c_5794 info:ar-repo/semantics/documentoDeConferencia |
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conferenceObject |
status_str |
publishedVersion |
dc.identifier.none.fl_str_mv |
http://sedici.unlp.edu.ar/handle/10915/94202 |
url |
http://sedici.unlp.edu.ar/handle/10915/94202 |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/url/https://cimec.org.ar/ojs/index.php/mc/article/view/5235 info:eu-repo/semantics/altIdentifier/issn/2591-3522 |
dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by-nc-sa/4.0/ Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) |
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openAccess |
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http://creativecommons.org/licenses/by-nc-sa/4.0/ Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) |
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application/pdf 39-47 |
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