Fast one-dimensional finite element approximation of geophysical measurements

135 p.

Detalles Bibliográficos
Autor: Shahriari Shourabi, Mostafa
Tipo de recurso: tesis doctoral
Fecha de publicación:2018
País:España
Institución:Universidad del País Vasco
Repositorio:Addi. Archivo Digital para la Docencia y la Investigación
OAI Identifier:oai:addi.ehu.eus:10810/31647
Acceso en línea:http://hdl.handle.net/10810/31647
Access Level:acceso abierto
Palabra clave:partial differential equations
ecuaciones diferenciales en derivadas parciales
resolución de ecuaciones diferenciales en derivadas parciales
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spelling Fast one-dimensional finite element approximation of geophysical measurementsShahriari Shourabi, Mostafapartial differential equationsecuaciones diferenciales en derivadas parcialesresolución de ecuaciones diferenciales en derivadas parciales135 p.When inverting Logging-While-Drilling (LWD) resistivity measurements, it is a common practice to consider a one-dimensional (1D) layered media to reduce the problem dimensionality using a Hankel transform. Using orthogonality of Bessel functions, we arrive at a system of Ordinary Differential Equations (ODEs); one systema of ODEs per Hankel mode. The dimensionality of the resulting problem is referred to as 1.5D since the computational cost to resolve it is in between that needed to solve a 1D problema and a 2D problem. When material properties are piecewise-constant, we can solve the resulting ODEs either (a) analytically, which leads to a so-called semi-analytic method, or (b) numerically. Semi-analytic methods are faster, but they also have important limitations, for example, (a) the analytical solution can only account for piecewise constant material properties, and other resistivity distributions cannot be solved analytically, which prevents to accurately model, for example, and OWT zone when fluids are considered to be inmiscible; (b) a specific set of cumbersome formulas has to be derived for each physical process (e.g. electromagnetism, elasticity, etc.), anisotropy type, etc.; (c) analytical derivatives of specific models (e.g. cross-bedded formations, or derivatives with respect to the bed boundary positios) are often diffcult to obtain and have not been published to the best of our knowledge.Pardo Zubiaur, DavidBakr, Shaaban Ali2019201920182018info:eu-repo/semantics/doctoralThesisapplication/pdfhttp://hdl.handle.net/10810/31647reponame:Addi. Archivo Digital para la Docencia y la Investigacióninstname:Universidad del País VascoInglésinfo:eu-repo/semantics/openAccess(c)2018 MOSTAFA SHAHRIARI SHOURABIoai:addi.ehu.eus:10810/316472026-06-18T09:23:17Z
dc.title.none.fl_str_mv Fast one-dimensional finite element approximation of geophysical measurements
title Fast one-dimensional finite element approximation of geophysical measurements
spellingShingle Fast one-dimensional finite element approximation of geophysical measurements
Shahriari Shourabi, Mostafa
partial differential equations
ecuaciones diferenciales en derivadas parciales
resolución de ecuaciones diferenciales en derivadas parciales
title_short Fast one-dimensional finite element approximation of geophysical measurements
title_full Fast one-dimensional finite element approximation of geophysical measurements
title_fullStr Fast one-dimensional finite element approximation of geophysical measurements
title_full_unstemmed Fast one-dimensional finite element approximation of geophysical measurements
title_sort Fast one-dimensional finite element approximation of geophysical measurements
dc.creator.none.fl_str_mv Shahriari Shourabi, Mostafa
author Shahriari Shourabi, Mostafa
author_facet Shahriari Shourabi, Mostafa
author_role author
dc.contributor.none.fl_str_mv Pardo Zubiaur, David
Bakr, Shaaban Ali
dc.subject.none.fl_str_mv partial differential equations
ecuaciones diferenciales en derivadas parciales
resolución de ecuaciones diferenciales en derivadas parciales
topic partial differential equations
ecuaciones diferenciales en derivadas parciales
resolución de ecuaciones diferenciales en derivadas parciales
description 135 p.
publishDate 2018
dc.date.none.fl_str_mv 2018
2018
2019
2019
dc.type.none.fl_str_mv info:eu-repo/semantics/doctoralThesis
format doctoralThesis
dc.identifier.none.fl_str_mv http://hdl.handle.net/10810/31647
url http://hdl.handle.net/10810/31647
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
(c)2018 MOSTAFA SHAHRIARI SHOURABI
eu_rights_str_mv openAccess
rights_invalid_str_mv (c)2018 MOSTAFA SHAHRIARI SHOURABI
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Addi. Archivo Digital para la Docencia y la Investigación
instname:Universidad del País Vasco
instname_str Universidad del País Vasco
reponame_str Addi. Archivo Digital para la Docencia y la Investigación
collection Addi. Archivo Digital para la Docencia y la Investigación
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300724

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