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

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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Autor principal: Savioli, Gabriela Beatriz
Publicado: 2008
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_17426588_v135_n_p_Savioli
http://hdl.handle.net/20.500.12110/paper_17426588_v135_n_p_Savioli
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paper:paper_17426588_v135_n_p_Savioli2023-06-08T16:27:10Z A predictor-corrector algorithm to estimate the fractional flow in oil-water models Savioli, Gabriela Beatriz 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. 2008 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_17426588_v135_n_p_Savioli http://hdl.handle.net/20.500.12110/paper_17426588_v135_n_p_Savioli
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (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.
author Savioli, Gabriela Beatriz
spellingShingle Savioli, Gabriela Beatriz
A predictor-corrector algorithm to estimate the fractional flow in oil-water models
author_facet Savioli, Gabriela Beatriz
author_sort Savioli, Gabriela Beatriz
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 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_17426588_v135_n_p_Savioli
http://hdl.handle.net/20.500.12110/paper_17426588_v135_n_p_Savioli
work_keys_str_mv AT savioligabrielabeatriz apredictorcorrectoralgorithmtoestimatethefractionalflowinoilwatermodels
AT savioligabrielabeatriz predictorcorrectoralgorithmtoestimatethefractionalflowinoilwatermodels
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