A rigorous approach for determining interfacial tension and minimum miscibility pressure in paraffin-CO2 systems: Application to gas injection processes

Abstract Determination of interfacial tension (IFT) between the reservoir crude oil and the injecting gas as well as the minimum miscibility pressure (MMP) are the keys for successful gas injection process for enhanced oil recovery (EOR) in the matured oil fields. In this study, a novel supervised learning method called least square support vector machine (LSSVM) was developed to estimate IFT of paraffin-CO 2 system. Besides, the MMP of the same system is estimated using the same model by using the vanishing interfacial tension (VIT) technique. The IFT was assumed to be an explicit function of pressure, temperature and molecular weight of paraffin, which was considered as the basis of the proposed model. The results showed that the proposed model is able to predict the IFT values with an average absolute percentage relative error of 4.7%. The highest relative error for estimation of MMP was found to be only 6.79%. Also, relevancy factor showed that pressure has the largest impact on the IFT of paraffin-CO 2 systems. At the end, the Leverage approach demonstrated that the proposed model is statistically valid and acceptable and only 3.8% of the data points were out of the applicability domain of the model.

[1]  K. Gasem,et al.  Equilibrium phase compositions, phase densities, and interfacial tensions for CO sub 2 + hydrocarbon systems; CO sub 2 + n-butane + n-decane , 1990 .

[2]  Ali Naseri,et al.  Asphaltene precipitation due to natural depletion of reservoir: Determination using a SARA fraction based intelligent model , 2013 .

[3]  A. Adamson Physical chemistry of surfaces , 1960 .

[4]  K. Gasem,et al.  Equilibrium phase compositions, phase densities, and interfacial tensions for carbon dioxide + hydrocarbon systems. 5. Carbon dioxide + n-tetradecane , 1985 .

[5]  Abdolhossein Hemmati-Sarapardeh,et al.  Toward a predictive model for estimating viscosity of ternary mixtures containing ionic liquids , 2014 .

[6]  R. F. Nielsen,et al.  Effect of Pressure and Temperature on Oil-Water Interfacial Tensions for a Series of Hydrocarbons , 1953 .

[7]  S. Ayatollahi,et al.  Experimental Determination of Equilibrium Interfacial Tension for Nitrogen-Crude Oil during the Gas Injection Process: The Role of Temperature, Pressure, and Composition , 2014 .

[8]  R. L. Robinson,et al.  Experimental Phase Densities and Interfacial Tensions for a CO2/Synthetic-Oil and a CO2/Reservoir-Oil System , 1993 .

[9]  H. Clever,et al.  Thermodynamics of Liquid Surfaces. , 1963 .

[10]  Amir H. Mohammadi,et al.  Toward prediction of petroleum reservoir fluids properties: A rigorous model for estimation of solution gas-oil ratio , 2016 .

[11]  Correlation of Surface and Interfacial Tension of Light Hydrocarbons in the Critical Region , 1961 .

[12]  D. Katz,et al.  Surface Tensions of Methane-Propane Mixtures , 1943 .

[13]  Amir H. Mohammadi,et al.  A Mathematical Model Based on Artificial Neural Network Technique for Estimating Liquid Water−Hydrate Equilibrium of Water−Hydrocarbon System , 2008 .

[14]  Johan A. K. Suykens,et al.  Coupled Simulated Annealing , 2010, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[15]  Corinna Cortes,et al.  Support-Vector Networks , 1995, Machine Learning.

[16]  S. Ayatollahi,et al.  Experimental Determination of Interfacial Tension and Miscibility of the CO2–Crude Oil System; Temperature, Pressure, and Composition Effects , 2014 .

[17]  Johan M. Thijssen,et al.  Ultrasonic speckle formation, analysis and processing applied to tissue characterization , 2003, Pattern Recognit. Lett..

[18]  D. Macleod On a relation between surface tension and density , 1923 .

[19]  Sheng-Tai Lee,et al.  A New Multicomponent Surface Tension Correlation Based on Scaling Theory , 1984 .

[20]  Kegang Ling,et al.  A New Correlation to Calculate Oil-Water Interfacial Tension , 2012 .

[21]  Johan A. K. Suykens,et al.  Basic Methods of Least Squares Support Vector Machines , 2002 .

[22]  Johan A. K. Suykens,et al.  Benchmarking state-of-the-art classification algorithms for credit scoring , 2003, J. Oper. Res. Soc..

[23]  Amir H. Mohammadi,et al.  On the evaluation of asphaltene precipitation titration data: Modeling and data assessment , 2016 .

[24]  Babak Aminshahidy,et al.  A soft computing approach for the determination of crude oil viscosity: Light and intermediate crude oil systems , 2016 .

[25]  D. Macleod Reports of meetings , 1967 .

[26]  J. R. Fanchi Calculation of Parachors for Compositional Simulation , 1985 .

[27]  D. Katz,et al.  Surface Tension of Reservoir CrudeOil/Gas Systems Recognizing the Asphalt in the Heavy Fraction , 1988 .

[28]  A Wilhelm Neumann,et al.  Determination of surface tension and contact angle from the shapes of axisymmetric fluid interfaces without use of apex coordinates. , 1983, Langmuir : the ACS journal of surfaces and colloids.

[29]  A. Galindo,et al.  Interfacial tension measurements and modelling of (carbon dioxide + n-alkane) and (carbon dioxide + water) binary mixtures at elevated pressures and temperatures , 2010 .

[30]  S. Ayatollahi,et al.  Investigating the Effects of Temperature, Pressure, and Paraffin Groups on the N2 Miscibility in Hydrocarbon Liquids using the Interfacial Tension Measurement Method , 2013 .

[31]  Dandina N. Rao,et al.  A new technique of vanishing interfacial tension for miscibility determination , 1997 .

[32]  Ali Danesh,et al.  A Modified Scaling Law and Parachor Method Approach for Improved Prediction of Interfacial Tension of Gas-Condensate Systems , 1991 .

[33]  Johan A. K. Suykens,et al.  Least Squares Support Vector Machine Classifiers , 1999, Neural Processing Letters.

[34]  R. Bird,et al.  Surface tension and the principle of corresponding states , 1955 .

[35]  Johan A. K. Suykens,et al.  LS-SVMlab Toolbox User's Guide , 2010 .

[36]  D. Rao,et al.  The multiple roles of interfacial tension in fluid phase equilibria and fluid–solid interactions , 2006 .

[37]  Samuel Sugden,et al.  VI.—The variation of surface tension with temperature and some related functions , 1924 .

[38]  D. Katz,et al.  Surface Tension of n-Heptane and n-Butane Containing Dissolved Nitrogen , 1943 .

[39]  B. Carey The gradient theory of fluid interfaces , 1979 .

[40]  S. Ayatollahi,et al.  Temperature and Composition Effect on CO2 Miscibility by Interfacial Tension Measurement , 2013 .

[41]  Kaiyun Fu,et al.  The genetic algorithm based back propagation neural network for MMP prediction in CO2-EOR process , 2014 .

[42]  Amir H. Mohammadi,et al.  Compositional Model for Estimating Asphaltene Precipitation Conditions in Live Reservoir Oil Systems , 2015 .

[43]  Amir H. Mohammadi,et al.  A smooth model for the estimation of gas/vapor viscosity of hydrocarbon fluids , 2015 .