A predictor-corrector algorithm to estimate the fractional flow in oil-water models

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We introduce a predictor-corrector algorithm to estimate parameters in a nonlinear hyperbolic problem. It can be used to estimate the oil-fractional flow function from the Buckley-Leverett equation. The forward model is non-linear: the sought- for parameter is a function of the solution of the equat...

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Autores principales:	Savioli, G.B., Fernández Berdaguer, E.M.
Formato:	Artículo publishedVersion
Publicado:	2008
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_17426588_v135_n_p_Savioli https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_17426588_v135_n_p_Savioli_oai
Aporte de:	Repositorio Digital de la Universidad de Buenos Aires (UBA) de Universidad de Buenos Aires

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spelling	I28-R145-paper_17426588_v135_n_p_Savioli_oai2024-08-16 Savioli, G.B. Fernández Berdaguer, E.M. 2008 We introduce a predictor-corrector algorithm to estimate parameters in a nonlinear hyperbolic problem. It can be used to estimate the oil-fractional flow function from the Buckley-Leverett equation. The forward model is non-linear: the sought- for parameter is a function of the solution of the equation. Traditionally, the estimation of functions requires the selection of a fitting parametric model. The algorithm that we develop does not require a predetermined parameter model. Therefore, the estimation problem is carried out over a set of parameters which are functions. The algorithm is based on the linearization of the parameter-to-output mapping. This technique is new in the field of nonlinear estimation. It has the advantage of laying aside parametric models. The algorithm is iterative and is of predictor-corrector type. We present theoretical results on the inverse problem. We use synthetic data to test the new algorithm. © 2008 IOP Publishing Ltd. Fil:Savioli, G.B. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. application/pdf http://hdl.handle.net/20.500.12110/paper_17426588_v135_n_p_Savioli info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar J. Phys. Conf. Ser. 2008;135 A predictor-corrector algorithm to estimate the fractional flow in oil-water models info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_17426588_v135_n_p_Savioli_oai
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-145
collection	Repositorio Digital de la Universidad de Buenos Aires (UBA)
description	We introduce a predictor-corrector algorithm to estimate parameters in a nonlinear hyperbolic problem. It can be used to estimate the oil-fractional flow function from the Buckley-Leverett equation. The forward model is non-linear: the sought- for parameter is a function of the solution of the equation. Traditionally, the estimation of functions requires the selection of a fitting parametric model. The algorithm that we develop does not require a predetermined parameter model. Therefore, the estimation problem is carried out over a set of parameters which are functions. The algorithm is based on the linearization of the parameter-to-output mapping. This technique is new in the field of nonlinear estimation. It has the advantage of laying aside parametric models. The algorithm is iterative and is of predictor-corrector type. We present theoretical results on the inverse problem. We use synthetic data to test the new algorithm. © 2008 IOP Publishing Ltd.
format	Artículo Artículo publishedVersion
author	Savioli, G.B. Fernández Berdaguer, E.M.
spellingShingle	Savioli, G.B. Fernández Berdaguer, E.M. A predictor-corrector algorithm to estimate the fractional flow in oil-water models
author_facet	Savioli, G.B. Fernández Berdaguer, E.M.
author_sort	Savioli, G.B.
title	A predictor-corrector algorithm to estimate the fractional flow in oil-water models
title_short	A predictor-corrector algorithm to estimate the fractional flow in oil-water models
title_full	A predictor-corrector algorithm to estimate the fractional flow in oil-water models
title_fullStr	A predictor-corrector algorithm to estimate the fractional flow in oil-water models
title_full_unstemmed	A predictor-corrector algorithm to estimate the fractional flow in oil-water models
title_sort	predictor-corrector algorithm to estimate the fractional flow in oil-water models
publishDate	2008
url	http://hdl.handle.net/20.500.12110/paper_17426588_v135_n_p_Savioli https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_17426588_v135_n_p_Savioli_oai
work_keys_str_mv	AT savioligb apredictorcorrectoralgorithmtoestimatethefractionalflowinoilwatermodels AT fernandezberdaguerem apredictorcorrectoralgorithmtoestimatethefractionalflowinoilwatermodels AT savioligb predictorcorrectoralgorithmtoestimatethefractionalflowinoilwatermodels AT fernandezberdaguerem predictorcorrectoralgorithmtoestimatethefractionalflowinoilwatermodels
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A predictor-corrector algorithm to estimate the fractional flow in oil-water models

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