Integral Modelling of Propagation of Incident Waves in a Laterally Varying Medium : an Exploration in the Frequency Domain
ABSTRACT: In this work we present a formalism that intends to solve the problem of modeling wave propagation in the context of seismic inversion. The formalism is based on the linear perturbation theory of Cauchy’s equations. Based on the foregoing, we derived an equivalent Helmholtz equation for th...
- Autores:
-
Muñoz Cuartas, Juan Carlos
Atehortúa Jiménez, Anyeres Neider
Avendaño Pérez, Sheryl Karina
- 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:10495/30950
- Acceso en línea:
- https://hdl.handle.net/10495/30950
- Palabra clave:
- Propagación de ondas
Wave propagation
Análisis funcional
Functional analysis
Series de Neumann
Dominio de la Frecuencia
- Rights
- openAccess
- License
- https://creativecommons.org/licenses/by-nc-sa/4.0/
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| dc.title.spa.fl_str_mv |
Integral Modelling of Propagation of Incident Waves in a Laterally Varying Medium : an Exploration in the Frequency Domain |
| dc.title.translated.spa.fl_str_mv |
Modelado integral de propagación de ondas incidentes en medios con gradientes laterales : una exploración en el dominio de la frecuencia |
| title |
Integral Modelling of Propagation of Incident Waves in a Laterally Varying Medium : an Exploration in the Frequency Domain |
| spellingShingle |
Integral Modelling of Propagation of Incident Waves in a Laterally Varying Medium : an Exploration in the Frequency Domain Propagación de ondas Wave propagation Análisis funcional Functional analysis Series de Neumann Dominio de la Frecuencia |
| title_short |
Integral Modelling of Propagation of Incident Waves in a Laterally Varying Medium : an Exploration in the Frequency Domain |
| title_full |
Integral Modelling of Propagation of Incident Waves in a Laterally Varying Medium : an Exploration in the Frequency Domain |
| title_fullStr |
Integral Modelling of Propagation of Incident Waves in a Laterally Varying Medium : an Exploration in the Frequency Domain |
| title_full_unstemmed |
Integral Modelling of Propagation of Incident Waves in a Laterally Varying Medium : an Exploration in the Frequency Domain |
| title_sort |
Integral Modelling of Propagation of Incident Waves in a Laterally Varying Medium : an Exploration in the Frequency Domain |
| dc.creator.fl_str_mv |
Muñoz Cuartas, Juan Carlos Atehortúa Jiménez, Anyeres Neider Avendaño Pérez, Sheryl Karina |
| dc.contributor.author.none.fl_str_mv |
Muñoz Cuartas, Juan Carlos Atehortúa Jiménez, Anyeres Neider Avendaño Pérez, Sheryl Karina |
| dc.contributor.researchgroup.spa.fl_str_mv |
Grupo de Física y Astrofísica Computacional (FACOM) |
| dc.subject.lemb.none.fl_str_mv |
Propagación de ondas Wave propagation Análisis funcional Functional analysis |
| topic |
Propagación de ondas Wave propagation Análisis funcional Functional analysis Series de Neumann Dominio de la Frecuencia |
| dc.subject.proposal.spa.fl_str_mv |
Series de Neumann Dominio de la Frecuencia |
| description |
ABSTRACT: In this work we present a formalism that intends to solve the problem of modeling wave propagation in the context of seismic inversion. The formalism is based on the linear perturbation theory of Cauchy’s equations. Based on the foregoing, we derived an equivalent Helmholtz equation for the propagation of waves in a variable density media. Then, we defined a solution, by using the boundary conditions on a half plane. This solution is of an integral nature and resembles expansion in a Neumann series. We implemented the solution of the first terms in the series, considering only the incident wavefield and neglecting the reflections. We show how this approximation works in different media that include lateral in homogeneities in the velocity. The method presented hereunder is intended as a first step in the modelling process for the full wavefield, to be used in seismic inversion methods, Full Waveform Inversion, for example. |
| publishDate |
2018 |
| dc.date.issued.none.fl_str_mv |
2018 |
| dc.date.accessioned.none.fl_str_mv |
2022-09-28T02:53:44Z |
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2022-09-28T02:53:44Z |
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Artículo de investigación |
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Atehortúa-Jiménez, Anyeres N, Muñoz-Cuartas, J. C, & Avendaño, Sheryl. (2018). Integral Modelling of Propagation of Incident Waves in a Laterally Varying Medium: an Exploration in the Frequency Domain. CT&F - Ciencia, Tecnología y Futuro , 8 (2), 33-45. https://doi.org/10.29047/01225383.79 |
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0122-5383 |
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https://hdl.handle.net/10495/30950 |
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10.29047/01225383.79 |
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2382-4581 |
| identifier_str_mv |
Atehortúa-Jiménez, Anyeres N, Muñoz-Cuartas, J. C, & Avendaño, Sheryl. (2018). Integral Modelling of Propagation of Incident Waves in a Laterally Varying Medium: an Exploration in the Frequency Domain. CT&F - Ciencia, Tecnología y Futuro , 8 (2), 33-45. https://doi.org/10.29047/01225383.79 0122-5383 10.29047/01225383.79 2382-4581 |
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https://hdl.handle.net/10495/30950 |
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eng |
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eng |
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CT&F - Ciencia, Tecnología y Futuro |
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45 |
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2 |
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33 |
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8 |
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CT&F - Ciencia, Tecnología y Futuro |
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http://creativecommons.org/licenses/by-nc-sa/2.5/co/ |
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ECOPETROL - Instituto Colombiano del Petróleo |
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Bucaramanga, Colombia |
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Muñoz Cuartas, Juan CarlosAtehortúa Jiménez, Anyeres NeiderAvendaño Pérez, Sheryl KarinaGrupo de Física y Astrofísica Computacional (FACOM)2022-09-28T02:53:44Z2022-09-28T02:53:44Z2018Atehortúa-Jiménez, Anyeres N, Muñoz-Cuartas, J. C, & Avendaño, Sheryl. (2018). Integral Modelling of Propagation of Incident Waves in a Laterally Varying Medium: an Exploration in the Frequency Domain. CT&F - Ciencia, Tecnología y Futuro , 8 (2), 33-45. https://doi.org/10.29047/01225383.790122-5383https://hdl.handle.net/10495/3095010.29047/01225383.792382-4581ABSTRACT: In this work we present a formalism that intends to solve the problem of modeling wave propagation in the context of seismic inversion. The formalism is based on the linear perturbation theory of Cauchy’s equations. Based on the foregoing, we derived an equivalent Helmholtz equation for the propagation of waves in a variable density media. Then, we defined a solution, by using the boundary conditions on a half plane. This solution is of an integral nature and resembles expansion in a Neumann series. We implemented the solution of the first terms in the series, considering only the incident wavefield and neglecting the reflections. We show how this approximation works in different media that include lateral in homogeneities in the velocity. The method presented hereunder is intended as a first step in the modelling process for the full wavefield, to be used in seismic inversion methods, Full Waveform Inversion, for example.RESUMEN: En esta investigación presentamos un formalismo que pretende contribuir al modelado de la propagación de ondas en el contexto de la inversión sísmica. El formalismo está basado en la teoría de perturbaciones lineales a las ecuaciones de Cauchy. Basados en este procedimiento derivamos una versión de la ecuación de Helmholtz que describe la propagación de ondas en un medio con densidad variable. Luego hallamos una solución en la cual se emplean condiciones de frontera de un plano semi infinito. Tal solución es expresada en forma de integral y recuerda la expansión en series de Neumann. Nosotros implementamos la solución del primer término de la serie, que considera únicamente el campo de onda incidente, sin considerar las reflexiones de onda. Mostramos que esta aproximación funciona en diferentes medios que incluyen variaciones in-homogeneidades laterales en el perfil de velocidad. Este método es presentado como un primer paso en el proceso de modelado del campo de onda completo el cual puede ser usado en métodos de inversión sísmica tales como "Inversión de onda completa", Full Waveform Inversion, (FWI).COL003826213application/pdfengECOPETROL - Instituto Colombiano del PetróleoBucaramanga, Colombiahttps://creativecommons.org/licenses/by-nc-sa/4.0/http://creativecommons.org/licenses/by-nc-sa/2.5/co/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Integral Modelling of Propagation of Incident Waves in a Laterally Varying Medium : an Exploration in the Frequency DomainModelado integral de propagación de ondas incidentes en medios con gradientes laterales : una exploración en el dominio de la frecuenciaArtículo de investigaciónhttp://purl.org/coar/resource_type/c_2df8fbb1https://purl.org/redcol/resource_type/ARThttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionPropagación de ondasWave propagationAnálisis funcionalFunctional analysisSeries de NeumannDominio de la FrecuenciaCT&F - Ciencia, Tecnología y Futuro452338CT&F - Ciencia, Tecnología y FuturoPublicationORIGINALMuñozJC_2018_IntegralModellingPropagation.pdfMuñozJC_2018_IntegralModellingPropagation.pdfArtículo de investigaciónapplication/pdf5342087https://bibliotecadigital.udea.edu.co/bitstreams/f05579f5-1aeb-4901-bb46-f7d81a255fb3/download5603a1b1f18522fc905a7130254dc978MD51trueAnonymousREADCC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; 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