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Steady-state Two-phase Flow in Porous Media: Statistics and Transport Properties

Abstract : We study experimentally the case of steady-state simultaneous two-phase flow in a quasi two-dimensional porous medium. The dynamics is dominated by the interplay between a viscous pressure field from the wetting fluid and bubble transport of a less viscous, nonwetting phase. In contrast to more studied displacement front systems, steady-state flow is in equilibrium, statistically speaking. The corresponding theoretical simplicity allows us to explain a data collapse in the cluster size distribution as well as the relation |∇P | ∝ √ Ca between the pressure gradient in the system and the capillary number
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Ken Tallakstad, Henning Knudsen, Thomas Ramstad, Grunde Løvoll, Knut Jørgen Måløy, et al.. Steady-state Two-phase Flow in Porous Media: Statistics and Transport Properties. Physical Review Letters, American Physical Society, 2009, 102 (7), ⟨10.1103/PhysRevLett.102.074502⟩. ⟨insu-02377830⟩

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