Numéro
J. Physique Lett.
Volume 46, Numéro 11, juin 1985
Page(s) 467 - 473
DOI https://doi.org/10.1051/jphyslet:019850046011046700
J. Physique Lett. 46, 467-473 (1985)
DOI: 10.1051/jphyslet:019850046011046700

Evidence of capillary hyperdiffusion in two-phase fluid flows

J.-C. Bacri, C. Leygnac et D. Salin

Laboratoire d'Ultrasons, Université Pierre et Marie Curie, Tour 13, 4 place Jussieu, 75230 Paris Cedex 05, France


Abstract
By means of an acoustic technique we record the saturation time and space dependence in a porous medium consisting of sandstone into which immiscible flows are driven. When a totally wetting fluid (here water) injection is performed (imbibition), in a prewet sample (i.e. a medium at irreducible water saturation), the capillary diffusion presents symptoms of hyperdiffusion, which means that the saturation profile extends more widely than in classical diffusion.


Résumé
Nous suivons l'évolution dans le temps et l'espace des profils de saturation lors d'écoulements non miscibles dans un grès poreux au moyen d'une technique acoustique. Au cours de l'injection d'un fluide totalement mouillant (eau-imbibition) dans un échantillon prémouillé (à saturation irréductible en eau), nous avons observé que la diffusion capillaire était hyperdiffusive, c'est-à-dire que le profil de concentration s'étend plus loin que dans le cas de la diffusion classique.

PACS
4755K - Multiphase flows.
4755M - Flow through porous media.
6610C - Diffusion and thermal diffusion in liquids.
6620 - Viscosity of liquids: diffusive momentum transport.
6810C - Fluid surface energy surface tension, interface tension, angle of contact, etc..
9165 - Geophysical aspects of geology and mineralogy.
9240K - Groundwater.

Key words
capillarity -- diffusion in liquids -- flow through porous media -- geology -- groundwater -- multiphase flow -- rocks -- viscosity of liquids -- wetting -- wetting fluid injection -- hyperdiffusion -- viscosity -- porous rock -- geology -- oil -- groundwater -- capillary hyperdiffusion -- two phase fluid flows -- acoustic technique -- saturation time -- space dependence -- porous medium -- sandstone -- immiscible flows -- prewet sample -- saturation profile

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