Sd. Fitzgerald et Aw. Woods, INSTABILITIES DURING LIQUID MIGRATION INTO SUPERHEATED GEOTHERMAL-RESERVOIRS, Water resources research, 34(9), 1998, pp. 2089-2101
We examine the stability of a vaporizing liquid front migrating throug
h a permeable rock. We show that such liquid-vapor fronts may become u
nstable if a sufficient fraction of the liquid vaporizes. This instabi
lity is a result of the different speed of the fluid on each side of t
he front. We also identify that short-wavelength perturbations are sta
bilized by thermal conduction, while long-wavelength perturbations are
stabilized as a result of the compressibility of the vapor. Furthermo
re, under conditions typical of geothermal reservoirs, where the press
ure is similar to 10 atm and the temperature is similar to 200 degrees
-300 degrees C, we find that if the permeability of the system is smal
ler than similar to 10(-15) m(2), then these two stabilizing mechanism
s overlap and the system becomes stable to perturbations of any wavele
ngth. We also examine the role of gravity in suppressing the instabili
ty of an ascending front and promoting the instability of a descending
front. We apply our results to the vapor-dominated geothermal reservo
irs at Larderello, Italy, and the Geysers, California, to predict cond
itions under which liquid fronts, advancing into superheated vapor, ar
e stable.