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ARTICLE

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

Mudasar Zafar^1,2,3,*, Hamzah Sakidin¹, Abida Hussain¹, Loshini Thiruchelvam⁴, Mikhail Sheremet⁵, Iskandar Dzulkarnain³, Roslinda Nazar⁶, Abdullah Al-Yaari¹, Rizwan Safdar^7,8

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:

(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

Received 01 January 2024; Accepted 13 May 2024; Issue published 27 September 2024

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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Keywords

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