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A Mathematical Modeling of 3D Cubical Geometry Hypothetical Reservoir under the Effect of Nanoparticles Flow Rate, Porosity, and Relative Permeability

Mudasar Zafar1,2,3,*, Hamzah Sakidin1, Abida Hussain1, Loshini Thiruchelvam4, Mikhail Sheremet5, Iskandar Dzulkarnain3, Roslinda Nazar6, Abdullah Al-Yaari1, Rizwan Safdar7,8

1 Department of Fundamental and Applied Sciences, Universiti Teknologi PETRONAS, Bandar Seri Iskandar, 32610, Malaysia
2 School of Mathematics, Actuarial and Quantitative Studies (SOMAQS), Asia Pacific University of Technology and Innovation (APU), Kuala Lumpur, 57000, Malaysia
3 Center for Research in Enhanced Oil Recovery, Universiti Teknologi PETRONAS, Bandar Seri Iskandar, 32610, Malaysia
4 Department of Physical and Mathematical Sciences, Faculty of Science, Universiti Tunku Abdul Rahman, Perak, 31900, Malaysia
5 Laboratory on Convective Heat and Mass Transfer, Tomsk State University, Tomsk, 634050, Russia
6 Department of Mathematical Sciences, Faculty of Science & Technology, Universiti Kebangsaan Malaysia, Bangi, 43600, Malaysia
7 Henan Province International Collaboration Lab of Forest Resources Utilization, School of Forestry, Henan Agricultural University, Zhengzhou, 450002, China
8 Higher Institution Centre of Excellence (HICoE), Institute of Tropical Aquaculture and Fisheries (AKUATROP), Universiti Malaysia Terengganu, Kuala Nerus, 21030, Malaysia

* Corresponding Author: Mudasar Zafar. Email: email

(This article belongs to the Special Issue: Numerical Modeling and Simulations on Non-Newtonian Flow Problems)

Computer Modeling in Engineering & Sciences 2024, 141(2), 1193-1211. https://doi.org/10.32604/cmes.2024.049259

Abstract

This study aims to formulate a steady-state mathematical model for a three-dimensional permeable enclosure (cavity) to determine the oil extraction rate using three distinct nanoparticles, SiO2, Al2O3, and Fe2O3, in unconventional oil reservoirs. The simulation is conducted for different parameters of volume fractions, porosities, and mass flow rates to determine the optimal oil recovery. The impact of nanoparticles on relative permeability ( and water is also investigated. The simulation process utilizes the finite volume ANSYS Fluent. The study results showed that when the mass flow rate at the inlet is low, oil recovery goes up. In addition, they indicated that silicon nanoparticles are better at getting oil out of the ground (i.e., oil reservoir) than Al2O3 and Fe2O3. Most oil can be extracted from SiO2, Al2O3, and Fe2O3 at a rate of 97.8%, 96.5%, and 88%, respectively.

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Cite This Article

APA Style
Zafar, M., Sakidin, H., Hussain, A., Thiruchelvam, L., Sheremet, M. et al. (2024). A mathematical modeling of 3D cubical geometry hypothetical reservoir under the effect of nanoparticles flow rate, porosity, and relative permeability. Computer Modeling in Engineering & Sciences, 141(2), 1193-1211. https://doi.org/10.32604/cmes.2024.049259
Vancouver Style
Zafar M, Sakidin H, Hussain A, Thiruchelvam L, Sheremet M, Dzulkarnain I, et al. A mathematical modeling of 3D cubical geometry hypothetical reservoir under the effect of nanoparticles flow rate, porosity, and relative permeability. Comput Model Eng Sci. 2024;141(2):1193-1211 https://doi.org/10.32604/cmes.2024.049259
IEEE Style
M. Zafar et al., "A Mathematical Modeling of 3D Cubical Geometry Hypothetical Reservoir under the Effect of Nanoparticles Flow Rate, Porosity, and Relative Permeability," Comput. Model. Eng. Sci., vol. 141, no. 2, pp. 1193-1211. 2024. https://doi.org/10.32604/cmes.2024.049259



cc Copyright © 2024 The Author(s). Published by Tech Science Press.
This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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