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)
Citation Information
Publication Year | 1977 |
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Title | A theoretical analysis of fluid flow and energy transport in hydrothermal systems |
DOI | 10.3133/ofr7760 |
Authors | Charles R. Faust, James W. Mercer |
Publication Type | Report |
Publication Subtype | USGS Numbered Series |
Series Title | Open-File Report |
Series Number | 77-60 |
Index ID | ofr7760 |
Record Source | USGS Publications Warehouse |