Rm. Young, CLASSIFICATION OF ONE-DIMENSIONAL STEADY-STATE 2-PHASE GEOTHERMAL FLOWS INCLUDING PERMEABILITY VARIATIONS - I - THEORY AND SPECIAL CASES, International journal of heat and mass transfer, 41(23), 1998, pp. 3919-3935
This paper describes a graphical method for classifying reservoir mode
ls of the above type, and for clarifying the connection between permea
bility (and permeability gradients) and saturation. The theory behind
the method is reviewed, and then the technique is applied to the examp
le of a bottom-heated geothermal heatpipe, which is shown to have a ma
ximum length, beyond which the only possible stable continuation (down
wards) is into single-phase vapour. A permeability increase (downwards
) always acts to induce a liquid saturation increase. A similar conclu
sion holds for non-zero net mass flow but with no conduction. Our theo
retical results agree with those obtained by numerical simulation. (C)
1998 Elsevier Science Ltd. All rights reserved.