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Inclusion of the Memory Function in Describing the Flow of Shear-Thinning Fluids in Porous Media
M. Enamul Hossain, L. Lie , M. Rafiqul Islam
Pages - 458 - 477     |    Revised - 30-10-2009     |    Published - 30-11-2009
Volume - 3   Issue - 5    |    Publication Date - November 2009  Table of Contents
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KEYWORDS
Non-Newtonian fluid, shear rate, complex fluid rheology, non-Darcy flow, non-linear dynamics, chaos in porous media
ABSTRACT
This paper introduces mathematical models with memory to present the complex rheological phenomena combining the in situ shear rate and bulk rheology with fluid memory. The models are numerically solved and compared the results with established experimental data available in the literature. The new models showed excellent agreement with experimental results for the region where most existing models failed. The proposed models can be used in a number of applications, such as enhanced oil recovery (EOR), polymer manufacturing, etc.
CITED BY (9)  
1 Hossain, M. E., & Al-Majed, A. A. (2015). Drilling Fluids. Fundamentals of Sustainable Drilling Engineering, 73-139.
2 Dureisseix, D., Royer, P., & Faverjon, B. (2015). Numerization of a memory effect for an homogenized composite material with a large contrast in the phase thermal conductivities. International Journal of Heat and Mass Transfer, 90, 140-148.
3 Zamani, N., Bondino, I., Kaufmann, R., & Skauge, A. (2015). Effect of porous media properties on the onset of polymer extensional viscosity. Journal of Petroleum Science and Engineering, 133, 483-495.
4 Ali, I., Malik, N., & Chanane, B. (2014). Fractional diffusion model for transport through porous media.
5 Ali, I., Malik, N., & Chanane, B. (2014, June). Time-fractional nonlinear gas transport equation in tight porous media: An application in unconventional gas reservoirs. In Fractional Differentiation and Its Applications (ICFDA), 2014 International Conference on (pp. 1-6). IEEE.
6 Hossain, M. E. (2012).Comprehensive modeling of complex petroleum phenomena with an engineering approach. Journal of Porous Media, 15(2).
7 Hossain, M. E., Abu-Khamsin, S. A., & Al-Helali, A. A. (2011, January). Use of the memory concept to investigate the temperature profile during a thermal EOR process. In SPE/DGS Saudi Arabia Section Technical Symposium and Exhibition. Society of Petroleum Engineers.
8 Al-Helali, A. (2011). Use of the Memory Concept to Investigate the Temperature Profile during a Thermal EOR Process.
9 Hossain, M. E., Alabdulkarim, B., Jassim, A., Al-Dhufairy, B., & Al-Ali, A.Aporosity dependent model for a heterogeneous reservoir.
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Dr. M. Enamul Hossain
- Canada
mehossain@dal.ca
Mr. L. Lie
- Canada
Mr. M. Rafiqul Islam
- Canada