Navegar

Colección

Datos Estadísticas

Artículo

Estamos trabajando para incorporar este artículo al repositorio
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

Abstract:

Reservoir parameters are estimated by adjusting simulation models to match field or laboratory data. Multivariate optimization techniques with physically realistic constraints on the parameters are used in order to obtain these estimates. Two examples are presented. The first example is the analysis of a drawndown test. Permeability and porosity are determined by minimizing an objective function which is the sum of the squares of the differences between theoretical and measured pressure-time distributions at the well. The minimization is performed by applying four different optimization techniques: Davidon-Fletcher-Powell (DFP), Fletcher-Reeves (FR), Quasi-Newton Approximation for the Least-Squares Problem (QNA) and Levenberg-Marquardt (LM). The second example is the simultaneous determination of capillary pressure and relative permeability curves of oil/water systems. It is based on the analysis of transient output data measured from a linear coreflood experiment. QNA and LM are used to match results from a numerical simulator to laboratory coreflood data. The special methods for the least-squares problem (LM, QNA) behave better than the two others (DFP, FR). LM and QNA arrive to the optimal point more frequently than DFP and FR. LM takes less computing time than QNA but is more affected by rounding errors. Therefore, QNA shows the best behavior when finding the optimum. The automatic algorithms are of particular use whenever the equations which govern the flow are too complex to be solved by the traditional analytical-graphical methods. © 1994.

Registro:

Documento: Artículo
Título:Comparison of optimization techniques for automatic history matching
Autor:Savioli, G.B.; Susana Bidner, M.
Filiación:Laboratorio de Ingeniería de Reservorios, Universidad de Buenos Aires, Pabellon Industrias - Ciudad Universitaria, 1428 Buenos Aires, Argentina
Palabras clave:Permeability; Porosity; Reservoirs-Oil; Algorithms; Approximation theory; Capillary flow; Computational methods; Constraint theory; Mathematical models; Mechanical permeability; Optimization; Parameter estimation; Porosity; Automatic algorithms; Automatic history matching; Coreflood experiment; Davidon Fletcher Powell (DFP); Drawdown test; Fletcher Reeves (FR); Levenberg Marquardt (LM); Minimization; Multivariate optimization; Quasi Newton approximation for the least squares problem (QNA); Petroleum reservoir evaluation; drawdown test; history matching; multivariate statistics; optimization; reservoir parameters
Año:1994
Volumen:12
Número:1
Página de inicio:25
Página de fin:35
DOI: http://dx.doi.org/10.1016/0920-4105(94)90004-3
Título revista:Journal of Petroleum Science and Engineering
Título revista abreviado:J. Pet. Sci. Eng.
ISSN:09204105
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09204105_v12_n1_p25_Savioli

Referencias:

  • Chierici, Petroleum reservoir engineering in the year 2000 (1985) En. Explor. Exploit., 3, pp. 173-193
  • Colton, Ewing, Rundell, Inverse problems in partial differential equations (1990) SIAM Proc. Ser., Proc. Conf. Inverse Problems in Partial Differential Equation of Summer Res. Conf. Mathematical Sciences, , Humboldt State Univ, Arcata, Calif, SIAM Proc. Ser., Proc. Conf. Inverse Problems in Partial Differential Equation of Summer Res. Conf. Mathematical Sciences 1989 Humboldt State Univ Arcata, Calif
  • Darderes, Vampa, Sorarrain, Bidner, Gas well testing analysis using finite-difference models and optimization techniques (1988) Rev. Inst. Fr. Pét., 43 (3), pp. 371-387
  • Dennis, Schnabel, (1983) Numerical Methods for Unconstrained Optimization and Nonlinear Equations, , Prentice Hall, Englewood Cliffs, N.J
  • Gabbanelli, Mezzatesta, Bidner, One-dimensional numerical simulation of waterflooding an oil reservoir (1982) Lat. Am. J. Heat Mass Transf., 6, pp. 251-273
  • Gill, Murray, Wright, (1981) Practical Optimization, , Academic Press, London
  • Grattoni, Bidner, History matching of unsteady-state corefloods for determining capillary pressure and relative permeabilities (1990) Pap. 21135 presented at SPE First Lat. Am. Pet. Eng. Conf., , Río de Janeiro, Brazil
  • Kerig, Watson, Relative permeability estimation from displacement experiments: An error analysis (1986) SPERE, 1 (2), pp. 175-182
  • Kerig, Watson, A new algorithm for estimating relative permeabilities from displacement experiments (1987) SPERE, 2 (1), pp. 103-112
  • Matthews, Russell, Pressure Buildup and Flow Test in Wells (1967) SPE Monogr., 1
  • Richmond, Watson, Estimation of multiphase flow functions from displacement experiments (1990) SPERE, 5 (1), pp. 121-127
  • Savioli, Bidner, Aplicación del Método Inverso al Anàlisis de Ensayos de Pozos Petrolíferos (1994) Rev. Int. Métodos Numéricos Cálculo Diseño Ingeniería, 10 (1), pp. 3-21
  • Savioli, Goldschmit, Bidner, Discusión sobre las soluciones analíticas y numéricas de la ecuación radial de difusividad que representa el flujo en medios porosos (1988) Rev. Brasileira Engenharia, 5 (2), pp. 65-79
  • Savioli, Grattoni, Bidner, The influence of capillary pressure when determining relative permeability from unsteady-state corefloods (1992) Pap. 23698 presented at SPE 2nd Lat. Am. Pet. Eng. Conf., Caracas, Venezuela, 1, pp. 265-274
  • Van Poollen, Radius-of-drainage and stabilization time equations (1964) Oil Gas J., 62, pp. 138-146

Citas:

---------- APA ----------
Savioli, G.B. & Susana Bidner, M. (1994) . Comparison of optimization techniques for automatic history matching. Journal of Petroleum Science and Engineering, 12(1), 25-35.
http://dx.doi.org/10.1016/0920-4105(94)90004-3
---------- CHICAGO ----------
Savioli, G.B., Susana Bidner, M. "Comparison of optimization techniques for automatic history matching" . Journal of Petroleum Science and Engineering 12, no. 1 (1994) : 25-35.
http://dx.doi.org/10.1016/0920-4105(94)90004-3
---------- MLA ----------
Savioli, G.B., Susana Bidner, M. "Comparison of optimization techniques for automatic history matching" . Journal of Petroleum Science and Engineering, vol. 12, no. 1, 1994, pp. 25-35.
http://dx.doi.org/10.1016/0920-4105(94)90004-3
---------- VANCOUVER ----------
Savioli, G.B., Susana Bidner, M. Comparison of optimization techniques for automatic history matching. J. Pet. Sci. Eng. 1994;12(1):25-35.
http://dx.doi.org/10.1016/0920-4105(94)90004-3