Nonisothermal Single- and Two-Phase Flow Through Consolidated Sandstones

Abstract

This study concerns nonisothermal single- and two-phase flow of a single-component fluid (water) in consolidated porous media. Linear flow experiments through cylindrical consolidated cores were performed. Both natural (Berea) and synthetic cement-consolidated performed. Both natural (Berea) and synthetic cement-consolidated sand cores were used. Fabrication of the synthetic sandstones was important to permit reproducible fabrication of high-porosity, low-permeability sandstones with thermowells, pressure ports, and glass-tube capacitance probe guides cast in place. Both hot-fluid and cold-water injection experiments were carried out in natural and synthetic sandstones. The thermal efficiency of hot-water and cold-water injection was found to depend on heat injection rate: the higher the heat injection rate, the higher the thermal efficiency. One important result of this study is that much of the previous work with nonisothermal single-phase flow in unconsolidated sands may be extended to consolidated sandstones despite the differences in the isothermal flow characteristics of these systems. In two-phase boiling flow experiments, hot, compressed liquid water entered the upstream end of the core, moved downstream, started vaporizing, and flowed through the remainder of the core as a mixture of steam and liquid water. Significant decreases in both temperature and pressure occurred within the two-phase region. Even for large temperature changes, it was found that two-phase flow can be nearly isenthalpic and steady state if heat transfer between the core and the surroundings is at a low level. Introduction Geothermal energy is being given much attention as a new source of energy. Prime questions in geothermal energy extraction are (1) how much energy can be recovered, and (2) how fast can it be extracted? To find useful answers to these questions, the basic nature of the boiling flow of water in porous media must be understood. Literature on oil recovery by hot-fluid injection and underground combustion presents some of the important features of nonisothermal, two-phase flow that appear pertinent to geothermal reservoirs. The injection of hot water to effect oil recovery was commonly considered before 1930. In 1930, Barb and Shelley mentioned a rumor that hot-water flooding had been tried in New York State and abandoned because of excessive cost. The heating and economic results of hot-water injection were evaluated in this pioneering study. pioneering study. The next study of heat transport in a formation caused by hot-fluid injection was presented by Stovall in 1934. Both laboratory and field experiments were described. Field determination of both wellbore heat losses and vertical losses from a heated formation were described in this remarkable study. Apparently, the next study of vertical heat loss on hot-fluid injection was published by Lauwerier in 1955. It was assumed that injection rate, Vw, and temperature, Ti, would remain constant; thermal conductivity in the direction of flow was zero; and the thermal conductivity in the flooded layer perpendicular to the direction of flow was infinite so that the temperature in the flooded layer, T1, was always constant at a given location in the flooded zone. Prats has called the latter condition the "Lauwerier assumption." The conductivity in the overburden and underburden, 2, was assumed to be finite and constant. The loss of heat from the injected fluid to the adjacent strata resulted in a decrease in temperature in the direction of flow. Lauwerier derived the temperature both in the injection interval and the adjacent strata as a function of time and distance. In 1959, Marx and Langenheim presented a solution for a heat-loss problem related to the one considered by Lauwerier, but where the heated region remained at a constant temperature equal to the injection temperature. Vertical heat loss reduced the size of the heated region. SPEJ P. 137

Effects of phase transformation of steam-water relative permeabilities

“…et al, 1951 ). In these experiments, the pressure gradient in the core sample is assumed to be linear and it is evaluated by measuring pressures at either end of the core sample (with the exception of Richardson, 1957 andArihara et al, 1976).…”

“…For example laboratory scale experiments have been reported by Chen et al (1978) and Counsil and Ramey (1979). Both these experiments were conducted using the same experimental setup, has been described elsewhere in a paper by Arihara et al (1976). They performed their studies on synthetic, consolidated cores mounted in a Hasslertype sleeve and obtained their readings within a very narrow zone of saturation.…”

Kinetic simulation of methane hydrate formation and dissociation in porous media

“…The intrinsic porosity and intrinsic permeability of the rock are 0.223 and 394.7 md, respectively. For the properties that are not given by , we use the data for Berea sandstone given by Arihara et al (1976). The heat conductivity of the dry core sample is 2.86 W/m K and the rock density is set to be 2.67 g/ml (Arihara et al, 1976).…”

“…For the properties that are not given by , we use the data for Berea sandstone given by Arihara et al (1976). The heat conductivity of the dry core sample is 2.86 W/m K and the rock density is set to be 2.67 g/ml (Arihara et al, 1976). The core sample is vertically placed in a constant temperature bath.…”

On fluid reserves and the production of superheated steam from fractured, vapor‐dominated geothermal reservoirs

“…7. However, their method' of analysis ( Arihara, 1974) appears to neglect the enhancement of effective flowing enthalpy due to heat conduction, as discussed in section 2. This approximation would tend to underestimate liquid flow, and therefore give too large values for Str· We consider…”