Based on an earlier proposed mathematical model, the conditions for the existence of a frontal regime of steam extraction from a high-temperature bed have been derived. It is shown that unlike the familiar one-dimensional case, in the radial-symmetrical model considered the radius of the region occupied by steam tends to a limiting value, that is, the front of boiling that separates the regions of water and steam practically comes to a stop after a time. A formula has been derived pointing clearly to the dependence of the indicated limiting value of the front radius on the water and steam parameters as well as on the characteristics of the geothermal bed. It is shown that for the steam to occupy a considerable region around the well when the bed is in service, it is necessary that the initial state of water be close to that of steam generation. Otherwise the front of boiling in the considered regime of heat and mass transfer extends from the well only a little.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
J. Elder, Geothermal System, Academic Press, New York (1981).
M. A. Grant, I. J. Donaldson, and P. F. Bixley, Geothermal Reservoir Engineering, Academic Press, New York (1982).
G. G. Tsypkin, Mathematical model of water–steam phase transitions in hydrothermal beds, Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, No. 6, 94–105 (1994).
A. B. Alkhasov, M. M. Ramazanov, R. M. Aliyev, and G. M. Abasov, Complex heat exchange with current for phase transitions in secondary contour of geothermal power plant, Renew. Energy, 19, 155–161 (2000).
M. J. O′Sullivan, K. Pruess, and M. J. Lippmann, State of art of geothermal reservoir simulation, Geothermics, 30, 395–429 (2001).
A. B. Alkhasov, Geothermal Power Engineering: Problems, Resources, Technologies [in Russian], Fizmatlit, Moscow (2008).
G. G. Tsypkin, Flows with Phase Transitions in Porous Media [in Russian], Fizmatlit, Moscow (2009).
A. B. Alkhasov and M. M. Ramazanov, Radial model of steam extraction from a high-temperature bed by means of a single well, J. Eng. Phys. Thermophys., 87, No. 3, 556–565 (2014).
D. H. Brownell, S. K. Garg, and J. W. Pritchett, Governing equation for geothermal reservoirs, Water Resour. Res., 13, 929–934 (1977).
N. N. Verigin and V. S. Golubev, On vapor generation in underground beds-collectors, Dokl. Akad. Nauk, 223, No. 6, 1355–1358 (1975).
S. K. Gargand J. W. Pritchett, Pressure interference data analysis for two-phase (water/steam) geothermal reservoirs, Water Resour. Res., 24, 843–852 (1988).
M. J. O′Sullivan, Geothermal reservoir simulation, Energy Res., 9, 313–332 (1985).
G. G. Tsypkin and A. W. Woods, Vapor extraction from a water saturated geothermal reservoir, J. Fluid Mech., 506, 315–330 (2004).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 88, No. 6, pp. 1314–1320, November–December, 2015.
Rights and permissions
About this article
Cite this article
Alkhasov, A.B., Ramazanov, M.M. & Alkhasova, D.A. Frontal Regime of Heat and Mass Transfer in a Geothermal Bed. J Eng Phys Thermophy 88, 1358–1365 (2015). https://doi.org/10.1007/s10891-015-1320-5
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10891-015-1320-5