Optimization of Empirical and Analytical Relative Permeability Correlations in Oil – Water Systems

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SAKHAEI ZAHRA; AZIN REZA; OSFOURI SHAHRIAR

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Journal: PETROLEUM RESEARCH Year:2017 | Volume:27 | Issue:92 Page(s): 186-199

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Title

Optimization of Empirical and Analytical Relative Permeability Correlations in Oil – Water Systems

Author(s)

SAKHAEI ZAHRA | AZIN REZA | OSFOURI SHAHRIAR | Issue Writer Certificate

Keywords

Relative PermeabilityQ1

Empirical-Analytical CorrelationsQ1

Oil –Water SystemQ1

Nonlinear OptimizatioQ1

Abstract

In this study, the comprehensive review of empirical and analytical correlations, which are presented for estimation of the Relative Permeability of two-phase systems, is performed. 11 common and widely used correlations for modeling of two-phase flow of oil-water in porous media including the empirical correlations of Honarpour et al., Ibrahim & Koederitz and Al-Fattah and also those correlations which have adjustable parameters; such as, Corey generalized correlation, Brooks and Corey generalized correlation, Sigmund & McCaffery, Chierici, Van Genuchten-Maulem, LET, Ke and Li et al. were used. The accuracy of the above correlations was evaluated by using 644 experimental data points related to oil-water systems. Generalized Reduced Gradient Nonlinear Optimization method has been used locally and globally for determining the adjustable parameters of the parametric models. According to the performed adjustment and optimization, Sigmund & McCaffery and LET correlations showed the best agreement with experimental data of oil and water Relative Permeability, respectively. The decision tree for the best correlation to estimate the Relative Permeability in carbonate and sandstone rocks as well as for three states of wettability water-wet, intermediate-wet and oil-wet was presented. Also, due to the weakness of the correlations with adjustable parameters to be dependent on experimental Relative Permeability data in determining the values of their parameters, the best values of the parameters of these correlations were determined using global optimization on a wide range of experimental data. The results were reported for 4 correlations with the highest accuracy.

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APA: Copy

SAKHAEI, ZAHRA, AZIN, REZA, & OSFOURI, SHAHRIAR. (2017). Optimization of Empirical and Analytical Relative Permeability Correlations in Oil – Water Systems. PETROLEUM RESEARCH, 27(92 ), 186-199. SID. https://sid.ir/paper/114616/en

Vancouver: Copy

SAKHAEI ZAHRA, AZIN REZA, OSFOURI SHAHRIAR. Optimization of Empirical and Analytical Relative Permeability Correlations in Oil – Water Systems. PETROLEUM RESEARCH[Internet]. 2017;27(92 ):186-199. Available from: https://sid.ir/paper/114616/en

IEEE: Copy

ZAHRA SAKHAEI, REZA AZIN, and SHAHRIAR OSFOURI, “Optimization of Empirical and Analytical Relative Permeability Correlations in Oil – Water Systems,” PETROLEUM RESEARCH, vol. 27, no. 92 , pp. 186–199, 2017, [Online]. Available: https://sid.ir/paper/114616/en

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