Equation of State of a Fluid H2O-CO2 at Temperatures 50–350 °C and Pressures 0.2–3.5 kbar

Authors

  • Mikhail V. Ivanov

    Institute of Precambrian Geology and Geochronology Russian Academy of Sciences, nab. Makarova 2, St. Petersburg 199034, Russia

DOI:

https://doi.org/10.30564/jees.v7i1.7327
Received: 20 September 2024 | Revised: 15 October 2024 | Accepted: 25 October 2024 | Published Online: 14 January 2025

Abstract

An equation of state (EOS) was obtained that accurately describes the thermodynamics of the system H2O–CO2 at temperatures of 50-350°C and pressures of 0.2-3.5 kbar. The equation is based on experimental data on the compositions of the coexisting liquid and gas phases and the Van Laar model, within which the values of the Van Laar parameters A12 and A21 were found for each experimental P-T point. For the resulting sets A12(P,T), A21(P,T), approximation formulas describing the dependences of these quantities on temperature and pressure were found and the parameters contained in the formulas were fitted. This two-stage approach made it possible to obtain an adequate thermodynamic description of the system, which allows, in addition to determining the phase state of the system (homogeneous or heterogeneous), to calculate the excess free energy of mixing of H2O and CO2, the activities of H2O and CO2, and other thermodynamic characteristics of the system. The possibility of such calculations creates the basis for using the obtained EOS in thermodynamic models of more complicated fluid systems in P-T conditions of the middle and upper crust. These fluids play an important role in many geological processes including the transport of ore matter and forming hydrothermal ore deposits, in particular, the most of the world's gold deposits. The knowledge of thermodynamics of these fluids is important in the technology of drilling oil and gas wells. In particular, this concerns the prevention of precipitation of solid salts in the well.

Keywords:

High Pressure; Elevated Temperature; Water-Carbon Dioxide Fluid; Equation of State

References

[1] Duan, Z., Sun, R., 2003. An Improved Model Calculating CO2 Solubility in Pure Water and Aqueous NaCl Solutions from 274 to 533 K and from 0 to 2000 bar. Chemical Geology. 193, 257–271. DOI: https://doi.org/10.1016/S0009-2541(02)00263-2

[2] Hu, J., Duan, Z., Zhu, C., et al, 2007. PVTx Properties of the CO2–H2O and CO2–H2O–NaCl Systems below 647 K: Assessment of Experimental Data and Thermodynamic Models. Chemical Geology. 238, 249–267. DOI: https://doi.org/10.1016/j.chemgeo.2006.11.011

[3] Sun, R., Dubessy, J., 2010. Prediction of Vapor-liquid Equilibrium and PVTx Properties of Geological Fluid System with SAFT-LJ EOS Including Multi-polar Contribution. Part I: Application to H2O–CO2 System. Geochimica et Cosmochimica Acta . 74, 1982–1988. DOI: https://doi.org/10.1016/j.gca.2010.01.011

[4] Zhao, H., Lvov, S.N., 2016. Phase Behavior of the CO2–H2O System at Temperatures 273-623 K and Pressures 0.1–200 MPa Using Peng-Robinson-Stryjek-Vera Equation of State with a Modified Wong-Sandler Mixing Rule: An extension to the CO2–CH4–H2O System. Fluid Phase Equilibria. 417, 96–108. DOI: http://dx.doi.org/10.1016/j.fluid.2016.02.027

[5] Ahmadi, P., Chapoy A., 2018. CO2 Solubility in Formation Water under Sequestration Conditions. Fluid Phase Equilibria. 463, 80–90. DOI: https://doi.org/10.1016/j.fluid.2018.02.002

[6] Liu, Z., Cui, P., Cui, X., Wang, et al., 2022. Prediction of CO2 Solubility in NaCl Brine under Geological Conditions with An Improved Binary Interaction Parameter in the Søreide-Whitson Model. Geothermics. 105, 102544. DOI: https://doi.org/10.1016/j.geothermics.2022.102544.

[7] Guo, X., Feng, J., Wang, P., et al., 2023. Review on the Mechanism of CO2 Storage and Enhanced Gas Recovery in Carbonate Sour Gas Reservoir. Processes. 11, 164. DOI: https://doi.org/10.3390/pr11010164

[8] Malinin, S.D., 1959. The System Water–carbon Dioxide at High Temperatures and Pressures. Geochemistry International. 3, 292–306.

[9] Tödheide, K., Franck, E. U., 1963. The two-phase region and the critical curve in the carbon dioxide-water system up to pressure of 3500 bar. Zeitschrift für Physikalische Chemie Neue Folge. 37, 387–401. DOI: https://doi.org/10.1524/zpch.1963.37.5_6.387

[10] Takenouchi, S., Kennedy, G.C., 1964. The Binary System H2O–CO2 at High Temperatures and Pressures. American Journal of Science. 262, 1055–1074. DOI: https://doi.org/10.2475/ajs.262.9.1055

[11] Ivanov M.V., Bushmin S.A., Aranovich L.Y., 2018. An Empirical Model of the Gibbs Free Energy for Solutions of NaCl and CaCl2 of Arbitrary Concentration at Temperatures from 423.15 K to 623.15 K under Vapor Saturation Pressure. Doklady Earth Sciences. 479, 491–494. DOI: https://doi.org/10.1134/S1028334X18040141

[12] Ivanov M.V., Bushmin S.A., d Aranovich L.Y., 2018. Equations of State for NaCl and CaCl2 Solutions of Arbitrary Concentration at Temperatures 423.15–623.15 K and Pressures up to 5 kbar. Doklady Earth Sciences. 481, 1086–1090. DOI: https://doi.org/10.1134/S1028334X18080287

[13] Peng, D.Y., 2010. Extending the Van Laar Model to Multicomponent Systems. The Open Thermodynamics Journal. 4, 129–140. DOI: http://dx.doi.org/10.2174/1874396X01004010129

[14] Aranovich, L.Ya., Zakirov, I. V., Sretenskaya, N. G., et al., 2010. Ternary System H2O–CO2–NaCl at High T–P parameters: an Empirical Mixing Model. Geochemistry International. 48(5), 446–455. DOI: https://doi.org/10.1134/S0016702910050022

[15] Aranovich, L.Ya., 2013. Fluid–mineral Equilibria and Thermodynamic Mixing Properties of Fluid Systems. Petrology. 21, 539–549. DOI: http://dx.doi.org/10.1134/S0869591113060027

[16] Wagner, W., Pruß, A., 2002. The IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use. Journal of Physical and Chemical Reference Data. 31, 387–535. DOI: https://doi.org/10.1063/1.1461829

[17] Span, R., Wagner, W., 1996. A New Equation of State for Carbon Dioxide Covering the Fluid Region from the Triple-point Temperature to 1100K at Pressures up to 800 MPa. Journal of Physical and Chemical Reference Data. 25, 1509–1596. DOI: https://doi.org/10.1063/1.555991

[18] Ivanov M.V., 2023. Thermodynamic Model of the Fluid System H2O–CO2–NaCl– CaCl2 at P-T Parameters of the Middle and Lower Crust. Petrology. 31, 413–423. DOI: https://doi.org/10.1134/S0869591123040045

[19] Ivanov M.V., Bushmin S.A., 2021. Thermodynamic Model of the Fluid System H2O–CO2–NaCl at P-T Parameters of the Middle and Lower Crust. Petrology. 29, 77–88. DOI: https://doi.org/10.1134/S086959112006003X

[20] Ivanov M.V., Bushmin S.A., 2019. Equation of State of the Fluid System H2O-CO2-CaCl2 and Properties of Fluid Phases at P-T Parameters of the Middle and Lower Crust. Petrology. 27, 395–406. DOI: https://doi.org/10.1134/S0869591119040039

[21] Ivanov M.V., Alexandrovich O.V., 2021. Phase State and Thermodynamic Parameters of the Fluid System H2O-CO2-CH4 at P-T Conditions of the Crust and Lithosphere Mantle. Petrology. 29, 439–447. DOI: https://doi.org/10.1134/S0869591121040032

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How to Cite

Mikhail V. Ivanov. (2025). Equation of State of a Fluid H2O-CO2 at Temperatures 50–350 °C and Pressures 0.2–3.5 kbar. Journal of Environmental & Earth Sciences, 7(1), 625–631. https://doi.org/10.30564/jees.v7i1.7327

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Short Communication