Artículo
Savioli, G.B.; Fernández Berdaguer, E.M. "A predictor-corrector algorithm to estimate the fractional flow in oil-water models" (2008) Journal of Physics: Conference Series. 135
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Abstract:
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.
Registro:
| Documento: | Artículo |
| Título: | A predictor-corrector algorithm to estimate the fractional flow in oil-water models |
| Autor: | Savioli, G.B.; Fernández Berdaguer, E.M. |
| Filiación: | Laboratorio de Ingeniería de Reservorios, IGPUBA, Universidad de Buenos Aires, Av. Las Heras 2214 Piso 3, C1127AAR Buenos Aires, Argentina Instituto de Clculo, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina |
| Año: | 2008 |
| Volumen: | 135 |
| DOI: | http://dx.doi.org/10.1088/1742-6596/135/1/012091 |
| Título revista: | Journal of Physics: Conference Series |
| Título revista abreviado: | J. Phys. Conf. Ser. |
| ISSN: | 17426588 |
| PDF: | https://bibliotecadigital.exactas.uba.ar/download/paper/paper_17426588_v135_n_p_Savioli.pdf |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_17426588_v135_n_p_Savioli |
Referencias:
- Aziz, K., Settari, A., (1985) Petroleum, Reservoir Simulation, , Great Britain: Elsevier Applied Science Publishers
- Banks, H.T., Kunisch, K., (1989) Estimation Techniques for Distributed Parameter Systems, , USA: Birkhauser Boston
- Berres, S., Burger, R., Coronel, A., Sepúlveda, M., Numerical identification of parameters for a strongly degenerate convection-diffusion problem modelling centrifugation of flocculated suspensions (2005) Appl. Numerical Math., 52, pp. 311-337
- Chardaire-Riviere, C., Chavent, G., Jaffre, J., Liu, J., Bourbiaux, B.J., Simultaneous estimation of relative permeabilities and capillary pressure (1992) Society Petroleum Engineers Formation Evaluation, 7, pp. 283-289
- Fernández Berdaguer, E.M., Parameter estimation in acoustic media using the adjoint method (1998) SIAM J. Cont. Optim., 36, pp. 1315-1330
- Fernández Berdaguer, E.M., Savioli, G.B., (2007) Estimation of Relative Permeabilities in Reservoir Flow Models, , Preprint Instituto de Clculo, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires
- Fernández Berdaguer, E.M., Santos, J.E., Sheen, D., An iterative procedure for estimation of variable coefficients in a hyperbolic system (1996) Appl. Math. Comput., 76, pp. 213-250
- Fernández Berdaguer, E.M., Gauzellino, P., Santos, J.E., An algorithm for parameter estimation in acoustic media. Practical issues (1995) Latin American Appl. Research, 25, pp. 161-168
- Kruger, H., Grimstad, A., Mannseth, T., Adaptive multiscale estimation of a spatially dependent diffusion function within porous media flow (2003) Inverse Problems Eng., 11, pp. 341-358
- Savioli, G.B., Bidner, M.S., Comparison of optimization techniques for automatic history matching (1994) J. Petroleum Sci. Eng., 12, pp. 25-35
- Savioli, G.B., Fernández Berdaguer, E.M., On the estimation of oil water displacement functions (2007) Latin American Appl. Research, 37, pp. 187-194
- Savioli, G.B., Fernández Berdaguer, E.M., (2007) An Infinite Dimensional Technique to Estimate Oil-water Saturation Functions Mecnica Computacional, 25, pp. 2687-2698
- Serre, D., (1999) Systems of Conservation Laws, , Cambridge: Cambridge University Press
- Tarantola, A., (1987) Inverse Problem Theory - Methods of Data Fitting and Model Parameter Estimation, , Amsterdam: Elsevier Science
- Valestrand, R., Grimstad, A., Kolltveit, K., Nordtvedt, J., Phan, J., Watson, T., Extension of methodology for the determination of two-phase porous media property functions (2003) Inverse Problems Eng., 11, pp. 289-307
Citas:
---------- APA ----------
Savioli, G.B. & Fernández Berdaguer, E.M. (2008) . A predictor-corrector algorithm to estimate the fractional flow in oil-water models. Journal of Physics: Conference Series, 135.http://dx.doi.org/10.1088/1742-6596/135/1/012091
---------- CHICAGO ----------
Savioli, G.B., Fernández Berdaguer, E.M. "A predictor-corrector algorithm to estimate the fractional flow in oil-water models" . Journal of Physics: Conference Series 135 (2008).http://dx.doi.org/10.1088/1742-6596/135/1/012091
---------- MLA ----------
Savioli, G.B., Fernández Berdaguer, E.M. "A predictor-corrector algorithm to estimate the fractional flow in oil-water models" . Journal of Physics: Conference Series, vol. 135, 2008.http://dx.doi.org/10.1088/1742-6596/135/1/012091
---------- VANCOUVER ----------
Savioli, G.B., Fernández Berdaguer, E.M. A predictor-corrector algorithm to estimate the fractional flow in oil-water models. J. Phys. Conf. Ser. 2008;135.http://dx.doi.org/10.1088/1742-6596/135/1/012091
