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

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 (k r) 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. [ABSTRACT FROM AUTHOR]