Effect of network topology on two-phase imbibition relative permeability |
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Authors: | Walid Mohamed Mahmud Ji Youn Arns Adrian Sheppard Mark A Knackstedt W Val Pinczewski |
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Institution: | (1) School of Petroleum Engineering, The University of New South Wales, Sydney, NSW, Australia;(2) Department of Applied Mathematics, Research School of Physical Sciences and Engineering, Australian National University, Canberra, ACT, Australia |
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Abstract: | In a previous study Arns et al. (2004, Transport Porous Media
55, 21–46) we considered the role of topology on drainage relative permeability curves computed using network models derived
from a suite of tomographic images of Fontainebleau sandstone. The present study extends the analysis to more complex imbibition
displacements where the non-wetting fluid can be disconnected by snap-off as a result of swelling of wetting films in the
corners of pores and throats. In contrast to the findings for drainage displacements which showed that relative permeabilities
are significantly affected by network topology, the present study shows that the effect of topology on imbibition relative
permeabilities depends on the level of snap-off. For strongly wetting conditions where snap-off dominates the displacement
the effect of network topology is significantly smaller than for weakly wet conditions where snap-off is suppressed. For contact
angles sufficiently large to completely suppress snap-off, the effect of topology on imbibition relative permeabilities is
similar to that for drainage displacements. The findings are valid for random networks and for networks displaying short-range
pore–throat and longer range spatial correlations. |
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Keywords: | Two-phase flow Imbibition Relative permeability Network models Topology |
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