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A theoretical analysis of fluid flow and energy transport in hydrothermal systems
A mathematical derivation for fluid flow and energy transport in hydrothermal systems is presented. Specifically, the mathematical model describes the three-dimensional flow of both single- and two-phase, single-component water and the transport of heat in porous media. The derivation begins with the point balance equations for mass, momentum, and energy. These equations are then averaged over a finite volume to obtain the macroscopic balance equations for a porous medium. The macroscopic equations are combined by appropriate constitutive relationships to form two similified partial differential equations posed in terms of fluid pressure and enthalpy. A two-dimensional formulation of the simplified equations is also derived by partial integration in the vertical dimension. (Woodard-USGS)
Suggested Citation
Faust, C.R., Mercer, J.W., 1977, A theoretical analysis of fluid flow and energy transport in hydrothermal systems: U.S. Geological Survey Open-File Report 77-60, vii, 85 p. :ill. ;26 cm.; (75 p. - PGS), https://doi.org/10.3133/ofr7760.
ISSN: 2331-1258 (online)
Publication type
Report
Publication Subtype
USGS Numbered Series
Title
A theoretical analysis of fluid flow and energy transport in hydrothermal systems