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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| Formato: | Artículo publishedVersion |
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2008
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_17426588_v135_n_p_Savioli |
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paperaa:paper_17426588_v135_n_p_Savioli2023-06-12T16:50:57Z A predictor-corrector algorithm to estimate the fractional flow in oil-water models J. Phys. Conf. Ser. 2008;135 Savioli, G.B. Fernández Berdaguer, E.M. 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 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion application/pdf eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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) |
| language |
Inglés |
| orig_language_str_mv |
eng |
| 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 |
| work_keys_str_mv |
AT savioligb apredictorcorrectoralgorithmtoestimatethefractionalflowinoilwatermodels AT fernandezberdaguerem apredictorcorrectoralgorithmtoestimatethefractionalflowinoilwatermodels AT savioligb predictorcorrectoralgorithmtoestimatethefractionalflowinoilwatermodels AT fernandezberdaguerem predictorcorrectoralgorithmtoestimatethefractionalflowinoilwatermodels |
| _version_ |
1769810300396109824 |