Numerical considerations on the modeling of source and boundary conditions for the frequency domain visco-acoustic wave equation solution

ABSTRACT: Seismic modeling is an important step in the process used for imaging Earth subsurface. Current applications require accurate models associated with solutions of the wave propagation equation in real media. Unfortunately, it is common not to find in the technical literature deep discussion...

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Autores:
Avendaño Pérez, Sheryl Karina
Muñoz Cuartas, Juan Carlos
Tipo de recurso:
Article of investigation
Fecha de publicación:
2018
Institución:
Universidad de Antioquia
Repositorio:
Repositorio UdeA
Idioma:
eng
OAI Identifier:
oai:bibliotecadigital.udea.edu.co:10495/30952
Acceso en línea:
https://hdl.handle.net/10495/30952
Palabra clave:
Seismic attenuation
Wave propagation modeling
Visco-acoustic medium
Seismic source
PML boundary conditions
Atenuación sísmica
Modelamiento de propagación de onda
Medio visco-acústico
Fuente sísmica
Rights
openAccess
License
http://creativecommons.org/licenses/by-nc-sa/2.5/co/
id UDEA2_50ef44556b7c2c1ade4d314a192aecb2
oai_identifier_str oai:bibliotecadigital.udea.edu.co:10495/30952
network_acronym_str UDEA2
network_name_str Repositorio UdeA
repository_id_str
dc.title.spa.fl_str_mv Numerical considerations on the modeling of source and boundary conditions for the frequency domain visco-acoustic wave equation solution
dc.title.alternative.spa.fl_str_mv Consideraciones numéricas sobre el modelado de las condiciones de fuente y de límite para la solución de la ecuación de onda visco-acústica en el dominio de la frecuencia
title Numerical considerations on the modeling of source and boundary conditions for the frequency domain visco-acoustic wave equation solution
spellingShingle Numerical considerations on the modeling of source and boundary conditions for the frequency domain visco-acoustic wave equation solution
Seismic attenuation
Wave propagation modeling
Visco-acoustic medium
Seismic source
PML boundary conditions
Atenuación sísmica
Modelamiento de propagación de onda
Medio visco-acústico
Fuente sísmica
title_short Numerical considerations on the modeling of source and boundary conditions for the frequency domain visco-acoustic wave equation solution
title_full Numerical considerations on the modeling of source and boundary conditions for the frequency domain visco-acoustic wave equation solution
title_fullStr Numerical considerations on the modeling of source and boundary conditions for the frequency domain visco-acoustic wave equation solution
title_full_unstemmed Numerical considerations on the modeling of source and boundary conditions for the frequency domain visco-acoustic wave equation solution
title_sort Numerical considerations on the modeling of source and boundary conditions for the frequency domain visco-acoustic wave equation solution
dc.creator.fl_str_mv Avendaño Pérez, Sheryl Karina
Muñoz Cuartas, Juan Carlos
dc.contributor.author.none.fl_str_mv Avendaño Pérez, Sheryl Karina
Muñoz Cuartas, Juan Carlos
dc.subject.proposal.spa.fl_str_mv Seismic attenuation
Wave propagation modeling
Visco-acoustic medium
Seismic source
PML boundary conditions
Atenuación sísmica
Modelamiento de propagación de onda
Medio visco-acústico
Fuente sísmica
topic Seismic attenuation
Wave propagation modeling
Visco-acoustic medium
Seismic source
PML boundary conditions
Atenuación sísmica
Modelamiento de propagación de onda
Medio visco-acústico
Fuente sísmica
description ABSTRACT: Seismic modeling is an important step in the process used for imaging Earth subsurface. Current applications require accurate models associated with solutions of the wave propagation equation in real media. Unfortunately, it is common not to find in the technical literature deep discussions on the impact of specific details associated with the physical modeling of some crucial ingredients of the process, such as seismic source term and boundary conditions. In this paper, we discuss some issues related to the modeling of wave propagation in visco-acoustic media using finite differences. We focus our attention on two major elements of the modeling problem that are associated to the source term and the boundary conditions. We show that the source term can be modeled using a scale parameter that controls the spread of energy and shows that this parameter is a function of frequency and position of the source. As to boundary conditions, we show that Perfectly Matched Layer (PML) parameters are also frequency dependent. For both cases, seismic source scale parameter and PML model parameters we provide values and functions that optimize the performance of the approach for problems where visco-acoustic wave propagation is required. Frequency domain Full Waveform Inversion (FWI), or Reverse Time Migration (RTM) processes that depend fundamentally on the appropriate modeling of the wave-field are potential fields of application of these results.
publishDate 2018
dc.date.issued.none.fl_str_mv 2018
dc.date.accessioned.none.fl_str_mv 2022-09-28T14:36:07Z
dc.date.available.none.fl_str_mv 2022-09-28T14:36:07Z
dc.type.spa.fl_str_mv info:eu-repo/semantics/article
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dc.type.local.spa.fl_str_mv Artículo de investigación
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status_str publishedVersion
dc.identifier.citation.spa.fl_str_mv Avendaño, Sheryl y Muñoz-Cuartas, J.-C. (2018). Numerical considerations on the modeling of source and boundary conditions for the frequency domain visco-acoustic wave equation solution. CT&F - Ciencia, Tecnología y Futuro , 8 (2), 47-56. https://doi.org/10.29047/01225383.80
dc.identifier.issn.none.fl_str_mv 0122-5383
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/10495/30952
dc.identifier.doi.none.fl_str_mv 10.29047/01225383.80
dc.identifier.eissn.none.fl_str_mv 2382-4581
identifier_str_mv Avendaño, Sheryl y Muñoz-Cuartas, J.-C. (2018). Numerical considerations on the modeling of source and boundary conditions for the frequency domain visco-acoustic wave equation solution. CT&F - Ciencia, Tecnología y Futuro , 8 (2), 47-56. https://doi.org/10.29047/01225383.80
0122-5383
10.29047/01225383.80
2382-4581
url https://hdl.handle.net/10495/30952
dc.language.iso.spa.fl_str_mv eng
language eng
dc.relation.ispartofjournalabbrev.spa.fl_str_mv CT&F - Ciencia, Tecnología y Futuro
dc.rights.spa.fl_str_mv info:eu-repo/semantics/openAccess
dc.rights.uri.*.fl_str_mv http://creativecommons.org/licenses/by-nc-sa/2.5/co/
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eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/2.5/co/
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dc.format.extent.spa.fl_str_mv 10
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dc.publisher.spa.fl_str_mv ECOPETROL - Instituto Colombiano del Petróleo
dc.publisher.group.spa.fl_str_mv Grupo de Física y Astrofísica Computacional (FACOM)
Grupo de Tomografía e Inversión
dc.publisher.place.spa.fl_str_mv Bucaramanga, Colombia
institution Universidad de Antioquia
bitstream.url.fl_str_mv https://bibliotecadigital.udea.edu.co/bitstream/10495/30952/1/Avendan%cc%83oSheryl_2018_NumericalConsiderationsModelingSource.pdf
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spelling Avendaño Pérez, Sheryl KarinaMuñoz Cuartas, Juan Carlos2022-09-28T14:36:07Z2022-09-28T14:36:07Z2018Avendaño, Sheryl y Muñoz-Cuartas, J.-C. (2018). Numerical considerations on the modeling of source and boundary conditions for the frequency domain visco-acoustic wave equation solution. CT&F - Ciencia, Tecnología y Futuro , 8 (2), 47-56. https://doi.org/10.29047/01225383.800122-5383https://hdl.handle.net/10495/3095210.29047/01225383.802382-4581ABSTRACT: Seismic modeling is an important step in the process used for imaging Earth subsurface. Current applications require accurate models associated with solutions of the wave propagation equation in real media. Unfortunately, it is common not to find in the technical literature deep discussions on the impact of specific details associated with the physical modeling of some crucial ingredients of the process, such as seismic source term and boundary conditions. In this paper, we discuss some issues related to the modeling of wave propagation in visco-acoustic media using finite differences. We focus our attention on two major elements of the modeling problem that are associated to the source term and the boundary conditions. We show that the source term can be modeled using a scale parameter that controls the spread of energy and shows that this parameter is a function of frequency and position of the source. As to boundary conditions, we show that Perfectly Matched Layer (PML) parameters are also frequency dependent. For both cases, seismic source scale parameter and PML model parameters we provide values and functions that optimize the performance of the approach for problems where visco-acoustic wave propagation is required. Frequency domain Full Waveform Inversion (FWI), or Reverse Time Migration (RTM) processes that depend fundamentally on the appropriate modeling of the wave-field are potential fields of application of these results.RESUMEN: El modelamiento sísmico es un ingrediente importante en el proceso de construcción de imágenes del subsuelo. Aplicaciones actuales requieren soluciones precisas asociadas con la solución de la propagación de ondas en medios realistas. Desafortunadamente noes común encontrar en la literatura técnica, discusiones y análisis suficientemente profundas asociadas al impacto detalles específicos asociados con el modelamiento físico de ingredientes claves para este proceso como lo son el término de la fuente y las condiciones de frontera. En este trabajo se discuten algunos de esos detalles relacionados con el modelamiento de la propagación de ondas en un medio visco-acústico usando diferencias finitas. Nuestra atención se enfoca en dos aspectos importantes del modelamiento asociados con el término de la fuente y las condiciones de frontera. Se muestra que el término de la fuente puede ser modelado a través del uso de parámetros de escala que controlan la distribución de energía y se muestra que este parámetro es una función de la frecuencia y de la posición de la fuente. Para las condiciones de frontera se muestra que los parámetros del modelo de fronteras de tipo PML (Perfectly Matched Layer) también son dependientes de la frecuencia. Tanto para el parámetro de escala de la fuente como los parámetros que modelan la PML se provee valores y funciones que optimizan el rendimiento de dichas aproximaciones para problemas donde se requiere el modelamiento de la propagación de ondas en medios visco-acústicos. Inversión de onda completa (FWI) o Migración Reversa en Tiempo (RTM) son escenarios que dependen fuertemente del modelamiento apropiado del campo de onda y son campos potenciales de aplicación para los resultados que se presentan.COL0038262COL015479910application/pdfengECOPETROL - Instituto Colombiano del PetróleoGrupo de Física y Astrofísica Computacional (FACOM)Grupo de Tomografía e InversiónBucaramanga, Colombiainfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_2df8fbb1https://purl.org/redcol/resource_type/ARTArtículo de investigaciónhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/2.5/co/http://purl.org/coar/access_right/c_abf2https://creativecommons.org/licenses/by-nc-sa/4.0/Numerical considerations on the modeling of source and boundary conditions for the frequency domain visco-acoustic wave equation solutionConsideraciones numéricas sobre el modelado de las condiciones de fuente y de límite para la solución de la ecuación de onda visco-acústica en el dominio de la frecuenciaSeismic attenuationWave propagation modelingVisco-acoustic mediumSeismic sourcePML boundary conditionsAtenuación sísmicaModelamiento de propagación de ondaMedio visco-acústicoFuente sísmicaCT&F - Ciencia, Tecnología y FuturoCT&F - Ciencia, Tecnología y Futuro475682ORIGINALAvendañoSheryl_2018_NumericalConsiderationsModelingSource.pdfAvendañoSheryl_2018_NumericalConsiderationsModelingSource.pdfArtículo de investigaciónapplication/pdf2989834https://bibliotecadigital.udea.edu.co/bitstream/10495/30952/1/Avendan%cc%83oSheryl_2018_NumericalConsiderationsModelingSource.pdf8aaccbee8c361e0f9c2eea07a361a9aeMD51CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-81051https://bibliotecadigital.udea.edu.co/bitstream/10495/30952/2/license_rdfe2060682c9c70d4d30c83c51448f4eedMD52LICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://bibliotecadigital.udea.edu.co/bitstream/10495/30952/3/license.txt8a4605be74aa9ea9d79846c1fba20a33MD5310495/30952oai:bibliotecadigital.udea.edu.co:10495/309522022-10-03 09:01:09.153Repositorio Institucional Universidad de Antioquiaandres.perez@udea.edu.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