Skip to main content
Log in

A Model for Deep Geothermal Brines, I: T-p-X State-Space Description

  • Published:
Transport in Porous Media Aims and scope Submit manuscript

Abstract

This paper is the first in a sequence which develops a model of hot, high-pressure geothermal brines based on a common salt solution. In this paper, there are proposals for T-p-X state-space delineations of such a model fluid. Using experimental and calculated data, correlations for these delineations are given for a wide range of temperatures, pressures and solute mass fractions, which are based on the primary variables temperature T pressure p and mass fraction of sodium chloride X. These correlations are approximate, particularly at higher temperatures, but are qualitatively correct and can be used in subroutines suitable for use in numerical simulation programs. Correlations will be presented in subsequent papers for some of the thermodynamic properties of such a brine system.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Alkan, H., Babadagli, T. and Satman, A.: 1995, The prediction of the PVT/phase behaviour of the geothermal fluid mixtures, In: Proc. World Geothermal Congress, International Geothermal Association, pp. 1659–1665.

  • Anderko, A. Pitzer, K. S.: 1992, Equation of state for pure sodium chloride, Fluid Phase Equilibria 79, 103–112.

    Google Scholar 

  • Anderko, A. and Pitzer, K. S.: 1993, Equation of state representation of phase equilibria and volumetric properties of the system NaCl-H2O above 573 K, Geochimica et Cosmochimica Acta 57, 1657–1680.

    Google Scholar 

  • Bischoff, J. L. and Pitzer, K. S.: 1989, Liquid-vapor relations for the system NaCl-H2O: Summary of the P-T-x surface from 300°C to 500°C, Am. J. Sci. 289, 217–248.

    Google Scholar 

  • Bodnar, R. J., Burnham, C.W. and Sterner, S. M.: 1985, Synthetic fluid inclusions in natural quartz. III. Determination of phase equilibrium properties in the system H2O-NaCl to 1000°C and 1500 bars, Geochimica et Cosmochimica Acta 49, 1861–1873.

    Google Scholar 

  • Bodnar, R. J.: 1994, Synthetic fluid inclusions: XII. The system H2O-NaCl. Experimental determination of the halite liquidus and isochores for a 40 wt.% NaCl solution, Geochimica et Cosmochimica Acta 58(3), 1053–1063.

    Google Scholar 

  • Chou, I-M.: 1987, Phase relations in the system NaCl-KCl-H2O. III: Solubilities of halite in vapor-saturated liquids above 445°C and redetermination of phase equilibrium properties in the system NaCl-H2O to 1000°C and 1500 bars, Geochimica et Cosmochimica Acta 51, 1965–1975.

    Google Scholar 

  • Gunter, W. D. Chou, I-M. and Girsperger, S.: 1983, Phase relations in the system NaCl-KCl-H2O II: Differential thermal analysis of the halite liquidus in the NaCl-H2O binary above 450°C, Geochimica et Cosmochimica Acta 47, 863–873.

    Google Scholar 

  • Haas, J. L.: 1976, Physical properties of the coexisting phases and thermochemical properties of the H2O component in boiling NaCl solutions: 1421-A, United States Government Printing Office, Washington, DC 20402.

    Google Scholar 

  • Kaufmann, D. W. (ed.): 1968, Sodium Chloride the Production and Properties of Salt and Brine, chapter 25, American Chemical Society Monograph Series, Hafner, New York.

    Google Scholar 

  • Kirshenbaum, A. D., Cahill, J. A., McGonigal, P. J. and Grosse, A. V.: 1962, The density of liquid NaCl and KCl and an estimate of their critical constants together with those of the alkali halides, J. Inorg. Nucl. Chem. 24, 1287–1296.

    Google Scholar 

  • Knight, C. L. and Bodnar, R. J.: 1989, Synthetic fluid inclusions: IX, Critical properties of NaCl-H2O solutions, Geochimica et Cosmochimica Acta 53, 3–8.

    Google Scholar 

  • McKibbin R. and McNabb, A.: 1993, Modelling the phase boundaries and fluid properties of the system H2O-NaCl at high temperatures and pressures, In: Proc. 15th New Zealand Geothermal Workship, University of Auckland, pp. 267–273.

  • Phillips, S. L., Igbene, A., Fair, J. A., Ozbek, H. and Tavana, M.: 1981, A technical databook for geothermal energy utilization, Lawrence Berkeley Laboratory, University of California, Berkeley, CA 94720.

    Google Scholar 

  • Pitzer, K. S. and Jiang, S.: 1996, Equation of state for NaCl-H2O: comparison with mineral dehydration equilibria, Contrib. Mineral Petrol. 122, 428–430.

    Google Scholar 

  • Pitzer, K. S. and Palaban, R. T.: 1986, Thermodynamics of NaCl in steam, Geochimica et Cosmochimica Acta 50, 1445–1454.

    Google Scholar 

  • Pitzer, K. S. and Palaban, R. T. 1986, Thermodynamics of NaCl in steam, Geochimica et Cosmochimica Acta 50, 1445–1454.

    Google Scholar 

  • Pitzer, K. S.: 1995, Ionic fluids: Near-critical and related properties, J. Phys. Chem. 99(35), 13070–13077.

    Google Scholar 

  • Pitzer, K. S.: 1996, Sodium chloride vapor at very high temperatures: Linear polymers are important, J. Chem. Phys. 104(17), 6724–6729.

    Google Scholar 

  • Pitzer, K. S.: 1997, Private communication.

  • Sourirajan, S. and Kennedy, G. C.: 1962, The system H2O-NaCl at elevated temperatures and pressures, Am. J. Sci. 260(2), 115–141.

    Google Scholar 

  • Sterner, S. M., Hall. D. L. and Bodnar, R. J.: 1988, Synthetic fluid inclusions. V. Solubility relations in the system NaCl-KCl-H2O under vapor-saturated conditions, Geochimica et Cosmochimica Acta. 52, 989–1005.

    Google Scholar 

  • Tanger, J. C. and Pitzer, K. S.: 1989, Thermodynamics of NaCl-H2O: A new equation of state for the near-critical region and comparisons with other equations for adjoining regions, Geochimica et Cosmochimica Acta 53, 973–987.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Palliser, C., McKIBBIN, R. A Model for Deep Geothermal Brines, I: T-p-X State-Space Description. Transport in Porous Media 33, 65–80 (1998). https://doi.org/10.1023/A:1006537425101

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1006537425101

Navigation