Abstract
Accurate estimation of CO2-brine Interfacial Tension (IFT) is of great importance since it is required to model the residual/capillary trapping of CO2 in geological formations. In this paper, a novel correlation is proposed based on the classical orthogonal polynomials to estimate the CO2-brine IFT of monovalent salts with common anion. To do so, CO2-brine IFT samples composed of samples from the literature and experimentally measured values using an in-house high-pressure high-temperature IFT measurement device were collected within a wide range of temperatures, pressures, and salinities. The utilized brines included NaCl and KCl salts. Then, a predictive model was developed based on the Group Method of Data Handling approach as a function of temperature, pressure, and ionic strength. The proposed method was compared with four methods from the literature in terms of average absolute percentage error (AAPE), coefficient of determination \({R}^{2}\), histograms of error, and percent error plots. Results showed the superiority of the proposed method over other methods with an AAPE of 9.85 and \({R}^{2}\) of 0.719. Also, it was shown that the proposed method did not produce too large errors, contrary to other methods. Therefore, the proposed method can be used reliably as a tool for CO2-brine IFT estimation in CO2 storage projects.
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Agency, U. E. P (2014) Understanding global warming potentials.
Amiri M, Soleimani S (2021) ML-based group method of data handling: an improvement on the conventional GMDH. Complex Intell Syst 7:2949–2960. https://doi.org/10.1007/s40747-021-00480-0
Amooie MA, Hemmati-Sarapardeh A, Karan K, Husein MM, Soltanian MR, Dabir B (2019) Data-driven modeling of interfacial tension in impure CO2-brine systems with implications for geological carbon storage. Int J Greenhouse Gas Control 90(August):102811. https://doi.org/10.1016/j.ijggc.2019.102811
Anastasakis, L., Mort, N., Anastasakis, L., & Mort, N (2001) The development of self-organization techniques in modelling: a review of the group method of data handling (GMDH).
Bachu S, Bennion DB (2009) Dependence of CO2 -brine interfacial tension on aquifer pressure, temperature and water salinity. Energy Proc 1(1):3157–3164. https://doi.org/10.1016/j.egypro.2009.02.098
Bennion, D. B., & Bachu, S (2008) A Correlation of the Interfacial Tension between Supercritical Phase CO2 and Equilibrium Brines as a Function of Salinity, Temperature and Pressure. In: SPE Annual Technical Conference and Exhibition. https://doi.org/10.2118/114479-MS
Chalbaud C, Robin M, Lombard J-M, Martin F, Egermann P, Bertin H (2009) Interfacial tension measurements and wettability evaluation for geological CO2 storage. Adv Water Resources 32(1):98–109. https://doi.org/10.1016/j.advwatres.2008.10.012
Cheng P, Li D, Boruvka L, Rotenberg Y, Neumann AW (1990) Automation of axisymmetric drop shape analysis for measurements of interfacial tensions and contact angles. Colloids Surf 43(2):151–167. https://doi.org/10.1016/0166-6622(90)80286-D
Chiquet P, Daridon J-L, Broseta D, Thibeau S (2007) CO2/water interfacial tensions under pressure and temperature conditions of CO2 geological storage. Energy Convers Manag 48(3):736–744. https://doi.org/10.1016/j.enconman.2006.09.011
Chow YTF, Eriksen DK, Galindo A, Haslam AJ, Jackson G, Maitland GC, Trusler JPM (2016) Interfacial tensions of systems comprising water, carbon dioxide and diluent gases at high pressures: experimental measurements and modelling with SAFT-VR Mie and square-gradient theory. Fluid Phase Equil 407:159–176. https://doi.org/10.1016/j.fluid.2015.07.026
Duchateau C, Broseta D (2012) A simple method for determining brine–gas interfacial tensions. Adv Water Res 42:30–36. https://doi.org/10.1016/j.advwatres.2012.03.008
Georgiadis A, Tschernutter M, Bainbridge JWB, Robbie SJ, McIntosh J, Nathwani AC et al (2010) AAV-mediated knockdown of peripherin-2 in vivo using miRNA-based hairpins. Gene Ther 17(4):486–493. https://doi.org/10.1038/gt.2009.162
Haeri F, Tapriyal D, Matranga C, Crandall D, Goodman A (2021) Variation of CO2-brine contact angles on natural rocks of different compositions. J Energy Power Technol 03(04):46. https://doi.org/10.21926/jept.2104046
Hassanpouryouzband A, Yang J, Okwananke A, Burgass R, Tohidi B, Chuvilin E et al (2019) An experimental investigation on the kinetics of integrated methane recovery and CO2 sequestration by injection of flue gas into permafrost methane hydrate reservoirs. Sci Rep 9(1):1–9. https://doi.org/10.1038/s41598-019-52745-x
Hassanpouryouzband A, Joonaki E, Vasheghani Farahani M, Takeya S, Ruppel C, Yang J et al (2020) Gas hydrates in sustainable chemistry. Chem Soc Rev 49(15):5225–5309. https://doi.org/10.1039/c8cs00989a
Hebach A, Oberhof A, Dahmen N, Kögel A, Ederer H, Dinjus E (2002) Interfacial tension at elevated pressuresmeasurements and correlations in the water + carbon dioxide system. J Chem Eng Data 47(6):1540–1546. https://doi.org/10.1021/je025569p
Ivakhnenko AG (1968) The group method of data handling – a rival of the method of stochastic approximation. Soviet Automatic Control 13(3):43–55
Ivakhnenko AG (1971) Polynomial theory of complex systems. IEEE Trans Syst Man Cybern 4:364–378
Ivakhnenko AG (1988) Sorting methods for modelling and clusterization (survey of the GMDH papers for the years 1983–1988). The present stage of GMDH development. Soviet J Automat Inf Sci C/c of Avtomatika 21:1–13
Ivakhnenko AG, Apa VG, McDonough RN (1967) Cybernetics and forecasting techniques. American Elsevier, NY
Ivakhnenko, A. G., & Lapa, V. G (1965) Cybernetic Predicting Devices. CCM Information Corporation.
Jerauld GR, Kazemi A (2022) An improved simple correlation for accurate estimation of CO2-Brine interfacial tension at reservoir conditions. J Petrol Sci Eng 208:109537. https://doi.org/10.1016/j.petrol.2021.109537
Johansson K, Eriksson JC (1974) γ and dγ/dT measurements on aqueous solutions of 1,1-electrolytes. J Colloid Interface Sci 49(3):469–480. https://doi.org/10.1016/0021-9797(74)90393-2
Kaldi, J., Gibson-Poole, C., & Payenberg, T (2009) Geological input to selection and evaluation of CO2 geosequestration sites.
Kvamme B, Graue A, Buanes T, Kuznetsova T, Ersland G (2007) Storage of CO2 in natural gas hydrate reservoirs and the effect of hydrate as an extra sealing in cold aquifers. Int J Greenhouse Gas Control 1(2):236–246. https://doi.org/10.1016/S1750-5836(06)00002-8
Levin Y, dos Santos AP, Diehl A (2009) Ions at the air-water interface: an end to a hundred-year-old mystery? Phys Rev Lett 103(25):257802. https://doi.org/10.1103/PhysRevLett.103.257802
Li X, Boek E, Maitland GC, Trusler JM (2012) Interfacial tension of (Brines + CO2):(0864 NaCl + 0136 KCl) at temperatures between (298 and 448) K, pressures between (2 and 50) MPa, and total molalities of (1 to 5) mol·kg–1. J Chem Eng Data 57(4):1078–1088. https://doi.org/10.1021/je201062r
Madala HR, Ivakhnenko AG (1994) Inductive learning algorithms for complex systems modeling. CRC Press
Marcus Y (2009) Effect of ions on the structure of water: structure making and breaking. Chem Rev 109(3):1346–1370. https://doi.org/10.1021/cr8003828
McCaffery, F. G (1972) Measurement of Interfacial Tensions and Contact Angles At High Temperature and Pressure.
Mutailipu M, Liu Y, Jiang L, Zhang Y (2019) Measurement and estimation of CO2–brine interfacial tension and rock wettability under CO2 sub- and super-critical conditions. J Colloid Interf Sci 534:605–617. https://doi.org/10.1016/j.jcis.2018.09.031
Pan Z, Trusler JPM (2023) Measurement and modelling of the interfacial tensions of CO2 + decane-iododecane mixtures at high pressures and temperatures. Fluid Phase Equilib 566:113700. https://doi.org/10.1016/j.fluid.2022.113700
Pashin J, Dodge R (2010) Carbon dioxide sequestration in geological media—state of the science. AAPG Stud Geol. https://doi.org/10.1016/s0921-3198(06)80027-x
Pegram LM, Record MT (2007) Hofmeister salt effects on surface tension arise from partitioning of anions and cations between bulk water and the air−water interface. J Phys Chem B 111(19):5411–5417. https://doi.org/10.1021/jp070245z
Pereira L, Chapoy A, Burgass R, Oliveira MB, Coutinho JAP, Tohidi B (2016) Study of the impact of high temperatures and pressures on the equilibrium densities and interfacial tension of the carbon dioxide/water system. J Chem Thermodyn 93:404–415. https://doi.org/10.1016/j.jct.2015.05.005
Pereira L, Chapoy A, Burgass R, Tohidi B (2017) Interfacial tension of CO2 + brine systems: experiments and predictive modelling. Adv Water Res 103:64–75. https://doi.org/10.1016/j.advwatres.2017.02.015
Pereira AD, Oliveira AR, Silvino PF, Bastos-Neto M, Lucena SM (2022) Neural network protocol to predict interfacial tension for water-Brine ternary systems under reservoir temperature and pressure ranges. Petroleum Sci Technol 2:181–200. https://doi.org/10.1080/10916466.2021.1991375
Rashid S, Harimi B, Hamidpour E (2017) Prediction of CO2-Brine interfacial tension using a rigorous approach. J Nat Gas Sci Eng 45:108–117. https://doi.org/10.1016/j.jngse.2017.05.002
Rotenberg Y, Boruvka L, Neumann AW (1983) Determination of surface tension and contact angle from the shapes of axisymmetric fluid interfaces. J Colloid Interf Sci 93(1):169–183. https://doi.org/10.1016/0021-9797(83)90396-X
Safaei-Farouji M, Vo Thanh H, Sheini Dashtgoli D, Yasin Q, Radwan AE, Ashraf U, Lee K-K (2022) Application of robust intelligent schemes for accurate modelling interfacial tension of CO2 brine systems: Implications for structural CO2 trapping. Fuel 319:123821. https://doi.org/10.1016/j.fuel.2022.123821
Saini D (2016) An investigation of the robustness of physical and numerical vanishing interfacial tension experimentation in determining CO 2 + crude oil minimum miscibility pressure. J Petrol Eng 2016:1–13. https://doi.org/10.1155/2016/8150752
Salehi E, Mohammadi M-R, Hemmati-Sarapardeh A, Mahdavi VR, Gentzis T, Liu B, Ostadhassan M (2022) Modeling interfacial tension of N2/CO2 Mixture + n-alkanes with machine learning methods: application to EOR in conventional and unconventional reservoirs by flue gas injection. Minerals. https://doi.org/10.3390/min12020252
Sohani A, Sayyaadi H, Hoseinpoori S (2016) Modeling and multi-objective optimization of an M-cycle cross-flow indirect evaporative cooler using the GMDH type neural network. Int J Refrig 69:186–204. https://doi.org/10.1016/j.ijrefrig.2016.05.011
Totik V (2005) Orthogonal polynomials. Surv Approx Theory 1:70–125
Weissenborn PK, Pugh RJ (1996) Surface tension of aqueous solutions of electrolytes: relationship with ion hydration, oxygen solubility, and bubble coalescence. J Colloid Interface Sci 184(2):550–563. https://doi.org/10.1006/jcis.1996.0651
Yekeen N, Padmanabhan E, Abdulelah H, Irfan SA, Okunade OA, Khan JA, Negash BM (2021) CO2/brine interfacial tension and rock wettability at reservoir conditions: a critical review of previous studies and case study of black shale from Malaysian formation. J Petrol Sci Eng 196:107673. https://doi.org/10.1016/j.petrol.2020.107673
Zhang J, Feng Q, Zhang X, Shu C, Wang S, Wu K (2020) A supervised learning approach for accurate modeling of CO2–brine interfacial tension with application in identifying the optimum sequestration depth in saline aquifers. Energy Fuels 34(6):7353–7362. https://doi.org/10.1021/acs.energyfuels.0c00846
Zhao L, Ji J, Tao L, Lin S (2016) Ionic effects on supercritical CO2–brine interfacial tensions: molecular dynamics simulations and a universal correlation with ionic strength, temperature, and pressure. Langmuir 32(36):9188–9196. https://doi.org/10.1021/acs.langmuir.6b02485
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Vakili-Nezhaad, G.R., Al Shaaili, A., Yousefzadeh, R. et al. CO2-brine interfacial tension correlation based on the classical orthogonal polynomials: monovalent salts with common anion. Chem. Pap. 78, 3483–3493 (2024). https://doi.org/10.1007/s11696-024-03321-9
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DOI: https://doi.org/10.1007/s11696-024-03321-9