Absorbing boundary conditions for 3D anisotropic media

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 solvi...

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Autores principales: Gauzellino, Patricia Mercedes, Santos, Juan Enrique
Formato: Objeto de conferencia
Lenguaje:Inglés
Publicado: 2017
Materias:
Ingeniería
Boundary conditions
Anisotropy
Finite elements
Mechanical waves
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/94202
https://cimec.org.ar/ojs/index.php/mc/article/view/5235
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-94202
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ingeniería
Boundary conditions
Anisotropy
Finite elements
Mechanical waves
spellingShingle Ingeniería
Boundary conditions
Anisotropy
Finite elements
Mechanical waves
Gauzellino, Patricia Mercedes
Santos, Juan Enrique
Absorbing boundary conditions for 3D anisotropic media
topic_facet Ingeniería
Boundary conditions
Anisotropy
Finite elements
Mechanical waves
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.
format Objeto de conferencia
Objeto de conferencia
author Gauzellino, Patricia Mercedes
Santos, Juan Enrique
author_facet Gauzellino, Patricia Mercedes
Santos, Juan Enrique
author_sort Gauzellino, Patricia Mercedes
title Absorbing boundary conditions for 3D anisotropic media
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
publishDate 2017
url http://sedici.unlp.edu.ar/handle/10915/94202
https://cimec.org.ar/ojs/index.php/mc/article/view/5235
work_keys_str_mv AT gauzellinopatriciamercedes absorbingboundaryconditionsfor3danisotropicmedia
AT santosjuanenrique absorbingboundaryconditionsfor3danisotropicmedia
bdutipo_str Repositorios
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