Abstract
This paper presents a method and describes an experimental device for determining the steam-water relative permeabilites of unconsolidated porous media. The experimental conditions are as close as possible to those of geothermal reservoirs. The relative permeabilities have been obtained at 180 and 150‡C. Their variations versus liquid saturation are quite classical. The air-water relative permeabilities have been measured also at room temperature. The values obtained under these three conditions are almost identical. However, the air-water relative permeability differs slightly from that of steam at 180 and 150‡C. We think this discrepancy is acceptable in practice, as it is easier to determine the relative permeabilities for an air-water flow at room temperature than for a steam-water flow at high temperature and pressure.
Similar content being viewed by others
Abbreviations
- A :
-
cross-sectional area
- A e :
-
cross-sectional area of the sample holder
- C pT :
-
specific heat at constant pressurep and temperatureT
- g :
-
gravity acceleration
- h :
-
specific enthalpy
- H :
-
total enthalpy
- I :
-
current of the electrical power supply
- k :
-
experimental constant of the stream generator
- K :
-
intrinsic permeability
- K γ ω :
-
relative permeability to theω phase
- L :
-
length of a section of the sample holder
- L T :
-
specific heat of evaporation at temperatureT
- P a :
-
atmospheric pressure
- P c :
-
capillary pressure
- P ω :
-
pressure of theω phase
- q ω :
-
volumetric flow rate of theω phase
- \(\bar q_\omega \) :
-
mass flow rate of theω phase
- S :
-
liquid saturation
- T :
-
temperature
- V :
-
voltage of the electrical power supply
- W e :
-
electrical power of the steam generator
- W f :
-
lost thermal power
- W u :
-
power transferred to water by the steam generator
- x :
-
coordinate
- y :
-
steam quality
- λ * :
-
thermal conductivity of the porous medium
- λ e :
-
thermal conductivity of the sample holder
- μ ω :
-
dynamic viscosity of theω phase
- ρ ω :
-
density of theω phase
- G :
-
gas phase
- L :
-
liquid phase
- ω :
-
phase
References
Arihara, B., Ramey, J., and Brigham, F.: 1976, Non-isothermal single and two-phase flow through consolidated sandstones,Soc. Petrol. Eng. J. 137–146.
Chen, H. K.: 1976, Measurement of water content in porous media under geothermal fluid flow conditions, PhD, Stanford.
Corey, A. T.: 1957, Measurement of water-air permeability in unsaturated soils,Proc. Soil Sci. Soc. Am.,21, 7–10.
Counsil, J.: 1979, Steam water relative permeability, PhD, Stanford.
Faust, C. R. and Mercer J. W.: 1979, Geothermal reservoir simulation II: numerical solution techniques for liquid- and vapour-dominated hydrothermal systems,Water Resour. Res.,15, 31–46.
Kouame, S., Piquemal, J., and Bories S.: 1991, Configuration d'un écoulement diphasique dans une fracture à parois lisses,CR Acad. Sci. Paris, Série 2,313, 383–387.
Miller, F. G.: 1951, Steady flow of two phases single component fluids through porous media,Petrol. Trans. AIME,192, 205–216.
Norel, G.: 1965, Etude des milieux poreux par absorption d'un rayonnementX ouγ émis par une source radioactive, Thèse de Doctorat d'Etat, Paris.
Osaba, J. S., Richardson, J. G., Kerver, J. K., Hafford, J. A., and Blair J.: 1951, Laboratory measurements of relative permeability,Petrol. Trans. AIME,192, 147–158.
Podaire, A.: 1981, Etude des phénomènes de changement de phase par autovaportisation en milieu poreux, Thèse de Docteur-Ingénieur, Institut National Polytechnique de Toulouse.
Pruess, K., Bodvarsson, G. S., Schroeder, R. C., and Witherspoon, P. A.: 1982, Model studies of the depletion of two-phase geothermal reservoirs,Soc. Petrol. Eng. J.,22, 280–299.
Richardson, G. J., Osaba, J. S., Kerver, J. K., and Hafford, J. A.: 1952, Laboratory determination of relative permeability,Petrol. Trans., AIME,195, 187–196.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Piquemal, J. Saturated steam relative permeabilities of unconsolidated porous media. Transp Porous Med 17, 105–120 (1994). https://doi.org/10.1007/BF00624727
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF00624727