Please use this identifier to cite or link to this item: https://hdl.handle.net/2440/71739
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Type: Journal article
Title: A semi-analytical model for two phase immiscible flow in porous media honouring capillary pressure
Author: Hussain, F.
Cinar, Y.
Bedrikovetski, P.
Citation: Transport in Porous Media, 2012; 92(1):187-212
Publisher: Kluwer Academic Publ
Issue Date: 2012
ISSN: 0169-3913
1573-1634
Statement of
Responsibility: 
F. Hussain, Y. Cinar and P. Bedrikovetsky
Abstract: This article describes a semi-analytical model for two-phase immiscible flow in porous media. The model incorporates the effect of capillary pressure gradient on fluid displacement. It also includes a correction to the capillarity-free Buckley-Leverett saturation profile for the stabilized-zone around the displacement front and the end-effects near the core outlet. The model is valid for both drainage and imbibition oil-water displacements in porous media with different wettability conditions. A stepwise procedure is presented to derive relative permeabilities from coreflood displacements using the proposed semi-analytical model. The procedure can be utilized for both before and after breakthrough data and hence is capable to generate a continuous relative permeability curve unlike other analytical/semi-analytical approaches. The model predictions are compared with numerical simulations and laboratory experiments. The comparison shows that the model predictions for drainage process agree well with the numerical simulations for different capillary numbers, whereas there is mismatch between the relative permeability derived using the Johnson-Bossler-Naumann (JBN) method and the simulations. The coreflood experiments carried out on a Berea sandstone core suggest that the proposed model works better than the JBN method for a drainage process in strongly wet rocks. Both methods give similar results for imbibition processes. © 2011 Springer Science+Business Media B.V.
Keywords: Two phase flow
porous medium
semi-analytical model
coreflood
relative permeability
Rights: © Springer Science+Business Media B.V. 2011
DOI: 10.1007/s11242-011-9897-4
Grant ID: http://purl.org/au-research/grants/arc/DP0878564
http://purl.org/au-research/grants/arc/DP1094299
http://purl.org/au-research/grants/arc/DP1094299
http://purl.org/au-research/grants/arc/DP0878564
Published version: http://dx.doi.org/10.1007/s11242-011-9897-4
Appears in Collections:Aurora harvest
Australian School of Petroleum publications

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