Accounting for Fluid Rheology in the Hydrophobization Model of Relative Permeability Hysteresis
Article
First Online:
Received:
Revised:
- 10 Downloads
Abstract
A complex mathematical model of relative permeability hysteresis is developed based on percolation theory. The model takes into account the change in the surface properties of the pore space and the rheology of percolating fluids during the transition from drainage to imbibition, which gives rise to hysteresis. It is shown that accounting for the change in the rheology of percolation fluids, along with accounting for the hydrophobization of the surface of the pore space, provides a better agreement between the calculated and experimental curves of relative permeabilities.
Keywords
relative permeabilities drainage imbibition hysteresis percolation theory rheologyPreview
Unable to display preview. Download preview PDF.
References
- 1.E. M. Braun and R. F. Holland, “Relative Permeability Hysteresis: Laboratory Measurements and a Conceptual Model,” SPE Reservoir Eng. 10 (3), 222–228 (1995).CrossRefGoogle Scholar
- 2.E. J. Spiteri, R. Juanes, M. J. Blunt, and F. M. Orr Jr., “Relative-Permeability Hysteresis: Trapping Models and Application to Geological CO2 Sequestration,” in Materials of the SPE Annual Tech. Conf. and Exhibition, Dallas, October 9–12, 2005. 2005. p. 96448.Google Scholar
- 3.M. R. Dernaika, M. A. Basioni, A. Dawoud, et al., “Variations in Bounding and Scanning Relative Permeability Curves with Different Carbonate Rock Types,” in Materials of the Int. Petroleum Conf. and Exhibition, Abu Dhabi (UAE), November 11–14, 2012, p. 162265.Google Scholar
- 4.M. Parvazdavani, M. Masihi, M. H. Ghazanfari, et al., “Investigation of the Effect of Water Based Nano-Particles Addition on Hysteresis of Oil-Water Relative Permeability Curves,” in Materials of the SPE Int. Oilfield Nanotechnol. Conf., Noordwijk (Netherlands), June 12–14, 2012, p. 157005.Google Scholar
- 5.V. V. Kadet and A. M. Galechyan, “Percolation Model of Relative Permeability Hysteresis,” Prikl. Mekh. Tekh Fiz. 54 (3), 95–105 (2013) [J. Appl. Mech. Tech. Phys. 54 (3) 423–432 (2013)].MATHGoogle Scholar
- 6.V. V. Kadet and A. M. Galechyan, “Percolation Modeling of Relative Permeability Hysteresis,” J. Petroleum Sci. Eng. 119, 139–148 (2014).CrossRefMATHGoogle Scholar
- 7.A. B. Dixit, S. R. McDougall, and K. S. Sorbie, “A Pore-Level Investigation of Relative Permeability Hysteresis in Water–Wet Systems,” SPE J. 3 (2), 115–123 (1998).CrossRefGoogle Scholar
- 8.E. J. Spiteri, R. Juanes, M. J. Blunt, and F. M. Orr, “A New Model of Trapping and Relative Permeability Hysteresis for All Wetting Characteristics,” SPE J. 13 (3), 277–288 (2008).CrossRefGoogle Scholar
- 9.V. V. Kadet and A. M. Galechyan, “Percolation Modeling of Relative Permeability Hysteresis Including Surface and Rheological Effects,” in Materials of the 14th Europ. Conf. on the Math. of Oil Recovery “ECMOR XIV,” Catania (Italy), September 8–11, 2014.Google Scholar
- 10.K. Khayrat and P. Jenny, “Subphase Approach to Model Hysteretic Two-Phase Flow in Porous Media,” Transport Porous Media 111 (1), 1–25 (2016).MathSciNetCrossRefGoogle Scholar
- 11.V. V. Kadet and V. I. Selyakov, “Percolation Model of Two-Phase Flow in a Porous Medium,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 1, 88–95 (1987).Google Scholar
- 12.V. I. Selyakov and V. V. Kadet, Percolation Models of Transport Processes in Microscopically Inhomogeneous Media (1-yi TOPMASH, Moscow, 2006) [in Russian].Google Scholar
- 13.T. N. Yusupova, U. G. Romanova, L. M. Petrova, et al., “Hydrophobization of Reservoir Rock in Bed Conditions,” in Materials of the Annual Tech. Meeting, Calgary (Canada), June 8–11, 1997, PS 97-125.Google Scholar
- 14.N. S. Gudok, N. N. Bogdanovich, and V. G. Martynov, Determination of the Physical Properties of Oil-Bearing Rocks: Textbook for Higher Schools (Nedra-Biznestsentr, Moscow, 2007) [in Russian].Google Scholar
- 15.W. L. Wilkinson, Non-Newtonian Fluids. Fluid Mechanics, Mixing and Heat Transfer (Pergamon Press, London, 1960).MATHGoogle Scholar
Copyright information
© Pleiades Publishing, Ltd. 2017