Artículo
Savioli, G.B.; Fernández-Berdaguer, E.M. "The estimation of oil water displacement functions" (2007) Latin American Applied Research. 37(3):187-194
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Abstract:
We introduce an algorithm to solve an inverse problem for a non-linear hyperbolic partial differential equation. It can be used to estimate the oil-fractional flow function from the Buckley-Leverett equation. The direct model is non-linear: the sought for parameter is a function of the solution of the equation. Traditionally, the estimation of functions requires the election 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 parameter is inferred from measurements of saturation at different spatial points as a function of time. The estimation procedure is carried out linearizing the solution of the direct model with respect to the parameter and then computing the least-squares solution in functional spaces. The sensitivity equations are derived. We test the algorithm with several numerical experiments.
Registro:
| Documento: | Artículo |
| Título: | The estimation of oil water displacement functions |
| Autor: | Savioli, G.B.; Fernández-Berdaguer, E.M. |
| Filiación: | Lab. Ing. Reservorios, Facultad de Ingeniería, Univ. de Buenos Aires, CONICET, 1428 Buenos Aires, Argentina Instituto de Cálculo, Facultad de Ciencias Exactas y Naturales, CONICET, 1428 Buenos Aires, Argentina |
| Palabras clave: | Conservation law; Non-linear equation; Parameter estimation; Two-phase flow |
| Año: | 2007 |
| Volumen: | 37 |
| Número: | 3 |
| Página de inicio: | 187 |
| Página de fin: | 194 |
| Título revista: | Latin American Applied Research |
| Título revista abreviado: | Lat. Am. Appl. Res. |
| ISSN: | 03270793 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03270793_v37_n3_p187_Savioli |
Referencias:
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Citas:
---------- APA ----------
Savioli, G.B. & Fernández-Berdaguer, E.M. (2007) . The estimation of oil water displacement functions. Latin American Applied Research, 37(3), 187-194.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03270793_v37_n3_p187_Savioli [ ]
---------- CHICAGO ----------
Savioli, G.B., Fernández-Berdaguer, E.M. "The estimation of oil water displacement functions" . Latin American Applied Research 37, no. 3 (2007) : 187-194.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03270793_v37_n3_p187_Savioli [ ]
---------- MLA ----------
Savioli, G.B., Fernández-Berdaguer, E.M. "The estimation of oil water displacement functions" . Latin American Applied Research, vol. 37, no. 3, 2007, pp. 187-194.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03270793_v37_n3_p187_Savioli [ ]
---------- VANCOUVER ----------
Savioli, G.B., Fernández-Berdaguer, E.M. The estimation of oil water displacement functions. Lat. Am. Appl. Res. 2007;37(3):187-194.Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03270793_v37_n3_p187_Savioli [ ]
