Mathematical Modeling of Steam Injection in Vertical Wells - Selected Topics of Computational and Experimental Fluid Mechanics - page 331

(a) (b)

0 0

200 200

400 400

600 600

800 800

1000 1000

1200 1200

1400 1400

1600 1600

140 160 180 200 220 240 260 350 360 370 380 390 400 410

Temperature (ºF)

Pressure (psia)

(d)

(c)

0

0

200 200

400

400

600

600

800

800

1000 1000

1200

1200

1400

1400

1600

1600

0 2 4 6 8 10 0.70 0.72 0.74 0.76 0.78 0.80 0.82

Steam Quality (Fraction)

Heat Loss (%)

Fontanilla & Aziz [Beggs and Brill for Multi-phase Flow] Field data

Bahonar et al., (2010) [Beggs and Brill for Multi-phase Flow] This study

Bahonar et al., (2010) [Hasan et al. for Multi-phase Flow]

Fig. 2 Predictions at 71h: a pressure (annular flow), b temperature (at 117h), c heat loss, d steam
quality

Figure 3 shows temperature in the cementing-porous medium interface. Temper-
ature profile changes significantly for small steam injection times, however, as the
steam injection period is higher temperature profiles are closer to each other. The sys-
tem gets its steady state at 500h, this means that the temperature difference between
the well wall and the interface is almost constant. Therefore, the energy dissipation
through the porous medium does not changes significantly when steam injection
time is increased, this because the accumulation term in the energy diffusion equa-
tion (Eq. 6 ) is negligible.