Steam condensation waves in water-saturated porous rock

Abstract. We formulate conservation laws governing steam injection in a linear porous medium containing water. Heat losses to the outside are neglected.We find a complete and systematic description of all solutions of the Riemann problem for the injection of a mixture of steam and water into a water-saturated porous medium. For ambient pressure, there are three kinds of solutions, depending on injection and reservoir conditions. We show that the solution is unique for each initial data. 76S05, 35L60, 35L67. Mathematical subject classification:

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“…(17) and use the mass balance equations (4) and (5). Since the temperature is constant the densities are constant too, so Eq.…”

Section: Steam Injection Into Water-saturated Porous Rockmentioning

confidence: 99%

“…Their main focus is the internal structure of the steam condensation front and they are reviewed in [4], [5].…”

Section: Steam Injection Into Water-saturated Porous Rockmentioning

confidence: 99%

Steam injection into water-saturated porous rock

2003

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show abstract

“…Equations (4) and (5) are combined with the heat balance equation 6, where we also use separation in sensible and latent quantities, to obtain:…”

Section: Steam Injection Into Water-saturated Porous Rockmentioning

confidence: 99%

“…We regroup Eq. (17) and use the mass balance equations (4) and (5). Since the temperature is constant the densities are constant too, so Eq.…”

Section: Steam Injection Into Water-saturated Porous Rockmentioning

confidence: 99%

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Steam injection into water-saturated porous rock

Bruining¹,

Duijn²,

Marchesin³

2003

Comput. Appl. Math.

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We formulate conservation laws governing steam injection in a linear porous medium containing water. Heat losses to the outside are neglected. We find a complete and systematic description of all solutions of the Riemann problem for the injection of a mixture of steam and water into a water-saturated porous medium. For ambient pressure, there are three kinds of solutions, depending on injection and reservoir conditions. We show that the solution is unique for each initial data.

show abstract