Steam condensation waves in water-saturated porous rock

We formulate balance laws governing condensation of steam injected into a linear porous medium containing water. Heat losses to the outside are neglected. Longitudinal heat conduction and capillary effects are taken into account. The condensation process is modeled by a rate equation based on a simp...

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Bibliographic Details
Published in:Qualitative theory of dynamical systems 2004-09, Vol.4 (2), p.205-231
Main Authors: Bruining, Johannes, Marchesin, Dan, Schecter, Stephen
Format: Article
Language:English
Subjects:
Conduction heating
Conductive heat transfer
Mathematical analysis
Porous media
Traveling waves
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Summary:We formulate balance laws governing condensation of steam injected into a linear porous medium containing water. Heat losses to the outside are neglected. Longitudinal heat conduction and capillary effects are taken into account. The condensation process is modeled by a rate equation based on a simple heat-transfer model. We study the condensation front as a traveling wave, under the approximation that pressure variations are negligible within the front. We find this traveling wave for the case of injection of high-quality steam using a combination of phase-plane analysis and numerical calculation of orbits.
ISSN:1575-5460
1662-3592
DOI:10.1007/BF02970859