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Journal of Porous Media
Facteur d'impact: 1.061 Facteur d'impact sur 5 ans: 1.151 SJR: 0.504 SNIP: 0.671 CiteScore™: 1.58

ISSN Imprimer: 1091-028X
ISSN En ligne: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v2.i1.70
pages 107-126

Deep Hydrothermal Systems: Mathematical Modeling of Hot Dense Brines Containing Noncondensible Gases

Robert McKibbin
Institute of Information and Mathematical Sciences, Massey University at Albany, Auckland, New Zealand
Alex McNabb
Department of Mathematics, The University of Auckland, Private Bag 92 019, Auckland, New Zealand

RÉSUMÉ

Quantitative description of deep hydrothermal systems requires mathematical modeling of the heat and mass transfer associated with the motion of multicomponent fluids in high-temperature high-pressure environments within porous rock structures. In this article, earlier work investigating models that describe the behavior of brine systems (where the fluid is represented by water + sodium chloride) at high temperatures and pressures is extended to include the presence of noncondensible gases. It is assumed in the model equations that the gases are represented by carbon dioxide. The consequent H2O−NaCl−CO2 system is modeled as a brine with a noncondensible gas component added. The phase-space of this ternary system is four dimensional; however, three-dimensional (3D) “cross-sections,” imagined as cuts by surfaces of given CO2 concentration, can be used to aid in visualizing this. The resulting cross-section is a 3D brine T−p−X phase subspace (T is the temperature, p is the pressure, and X is the mass fraction of chloride within the brine component) which is regarded as a perturbation of the T−pb−X phase-space for the H2O−NaCl system [pb is the (partial) pressure of the brine which has salinity X]. The characteristics of the various regions of the latter 3D phase-space (McKibbin and McNabb, 1993) are presumed to still apply, but the boundaries are slightly altered in shape owing to the presence of the noncondensible gas. Conservation equations, together with various thermodynamic relationships and gas laws, are solved for some simple steady vertical flows. The example results provide some insights into the complex relationships between the concentrations and distribution of the various components.


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