Abstract
Stationary regimes of nonisothermal flow of a liquid and its vapor through a porous medium in the gravity field are investigated. Possible flow types are analyzed in the plane of the determining parameters. The analytical results obtained are used in discussing the possibility of finding the pressure and temperature in the interior of a geothermal system from the parameters of the liquid and vapor flow in its permeable surface formations.
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References
M.A. Grant, “Geothermal Reservoir Modeling,” Geothermics 12(4), 251–263 (1983).
M.J. O’sullivan, “Geothermal Reservoir Simulation,” Int. J. Energy Res. 9(3), 319–332 (1985).
W. Kissling, M. McGuinness, G. Weir, et al., “Vertical Two-Phase Flow in Porous Media,” Transport in Porous Media 8(2), 99–131 (1992).
G. Weir and R. Young, “Quasi-Steady Vertical Two-Phase Flows in Porous Media,” Water Resour. Res. 27(6), 1207–1214 (1991).
R. Young and G. Weir, “Constant Rate Production of Geothermal Fluid from a Two-Phase Vertical Column I: Theory,” Transport in Porous Media 14(3), 265–286 (1994).
M.J. McGuinness, K. Pruess, M. O’sullivan, and M. Blakeley, “Geothermal Heat Pipe Stability: Solution Selection by Upstreaming and Boundary Conditions,” Transport in Porous Media 11(1), 71–100 (1993).
A.A. Afanas’ev, “Interaction of Evaporation Fronts with a Formation Interface in a Porous Medium,” Fluid Dynamics 43(3), 94–103 (2008).
A.A. Afanas’ev and A.A. Barmin, “Phase Discontinuities in Water Flows through a Porous Medium,” Fluid Dynamics 41(4), 574–584 (2006).
A.A. Barmin and G.G. Tsypkin, “Mathematical Model of Water Injection into a Geothermal Steam-Saturated Reservoir,” Fluid Dynamics 31(6), 874–879 (1996).
J. Stopa and P. Wojnarowski, “Analytical Model of Cold Water Front Movement in a Geothermal Reservoir,” Geothermics 35(1), 59–69 (2006).
W. Lambert, D. Marcheshin, and J. Bruining, “On the Riemann Solutions of the Balance Equations for Steam and Water Flow in a Porous Medium,” Meth. and Appl. Anal. 12(3), 325–348 (2005).
A.G. Kulikovskii and E.I. Sveshnikova, Nonlinear Waves in Elastic Media (Moskovskii Litsei, Moscow, 1998) [in Russian].
L.D. Landau and E.M. Lifshits, Theoretical Physics, Vol. 4: Statistical Physics (Gostekhizdat, Moscow, 1951) [in Russian].
A.G. Kulikovskii, “Evaporation and Condensation Fronts in Porous Media,” Fluid Dynamics 37(5), 740–746 (2002).
I.A. Charnyi, Subterranean Liquid and Gas Dynamics (Gostoptekhizdat, Moscow, 1963) [in Russian].
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Original Russian Text © A.A. Afanasyev, 2009, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2009, Vol. 44, No. 4, pp. 78–89.
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Afanasyev, A.A. Steady-state water and vapor flows in a porous medium. Fluid Dyn 44, 545–554 (2009). https://doi.org/10.1134/S0015462809040085
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DOI: https://doi.org/10.1134/S0015462809040085