Temperature profiles due to continuous hot water injection into homogeneous fluid-saturated porous media through a line source

Abstract

We report a theoretical study to determine the temperature profiles due to the continuous andconstant injection of hot water through a line source, into a homogeneous fluid-saturated porous medium which has had initially a constant temperature T∞. In our treatment we have taken in to account the simultaneous injection of constant fluxes of volume fluid, q, and of heat, φ. By using a far-field description, we found similarity solutions for the dimensionless temperature depending on the Peclet number, P e, as the single parameter of the problem.

Experiments on Steam Injection into Preformed Steam Chambers of Various Shapes for Maximum Condensate Recovery

“…Now, the exponents of the power law r f /H ∼ t n are n = 0.51 ± 0.02 if θ = 0 and n = 0.46 ± 0.02 if θ = π/2. These exponents indicate, as can be seen in Figure 8, that the initial fronts were nearly circular and behaved approximately according to the power law for hot water radial injection [28]. Following the study of the thermalization of the preformed circular steam chamber, we provide four thermographies for the indicated time instants in Figure 10.…”

“…Moreover, in the same figure, it is observed that the rate of change of r f (θ = 0)/H was larger than r f (θ = π/2)/H, due to the influence of the buoyancy of steam. In contrast, when a hot liquid is injected radially into a similar geometry at a constant flow rate, q, the Darcy velocity of the front close to the injection pipe, v r , evolves as v r = dr f /dt = q/2πr f , which yields that r f /H ∼ t 0.5 [28]. In addition, the time-dependent temperature distributions in the preformed steam chamber during the steam injection (see Figure 6) were obtained using an infrared camera: model FLIR SC660, which had a high performance infrared system within the long-wave spectral range: 7.5-13 µm.…”