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Averaged model with capillary nonequilibrium effects for two-phase flow through a highly heterogeneous porous medium

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Abstract

Two-phase flow through a medium with two porosities in which the absolute permeabilities and the capillary pressure functions of the components differ by an order of magnitude is investigated. A classification and diagram of the elementary flows are proposed at the single cell level. An averaged model is developed for a single class of systems in which source-type capillary-dispersion flow predominates in the blocks. This model contains a nonlinear kinetic relation between the average values of the capillary pressure functions. An expansion of the effective phase permeability tensor allowing it to be calculated efficiently is proposed. The capillary relaxation time is explicitly determined. Examples of calculations of the averaged phase permeability tensor and the capillary relaxation time are given.

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Authors
  1. M. B. Panfilov
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  2. I. V. Panfilova
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Additional information

Moscow. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 3, pp. 93–103, May–June, 1998.

The work was carried out with the support from the Russian Foundation for Basic Research (project No. 95-01-01179a).

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Panfilov, M.B., Panfilova, I.V. Averaged model with capillary nonequilibrium effects for two-phase flow through a highly heterogeneous porous medium. Fluid Dyn 33, 373–381 (1998). https://doi.org/10.1007/BF02698188

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  • DOI: https://doi.org/10.1007/BF02698188

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