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Qualitative Theory of Dynamical Systems

, Volume 4, Issue 2, pp 205–231 | Cite as

Steam condensation waves in water-saturated porous rock

  • Johannes Bruining
  • Dan Marchesin
  • Stephen Schecter
Article
  • 72 Downloads

Abstract

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.

Key Words

Porous medium steamflood traveling waves multiphase flow 

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Copyright information

© Birkhäuser-Verlag 2004

Authors and Affiliations

  • Johannes Bruining
    • 1
  • Dan Marchesin
    • 2
  • Stephen Schecter
    • 3
  1. 1.Dietz LaboratoryCentre of Technical GeoscienceDelftThe Netherlands
  2. 2.Instituto Nacional de Matemática Pura e AplicadaRio de JaneiroBrazil
  3. 3.Mathematics DepartmentNorth Carolina State UniversityRaleighUSA

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