Abstract
In this paper, the magnetic nanoparticles are injected into a water-oil, two-phase system under the influence of an external permanent magnetic field. We lay down the mathematical model and provide a set of numerical exercises of hypothetical cases to show how an external magnetic field can influence the transport of nanoparticles in the proposed two-phase system in porous media. We treat the water-nanoparticles suspension as a miscible mixture, whereas it is immiscible with the oil phase. The magnetization properties, the density, and the viscosity of the ferrofluids are obtained based on mixture theory relationships. In the mathematical model, the phase pressure contains additional term to account for the extra pressures due to fluid magnetization effect and the magnetostrictive effect. As a proof of concept, the proposed model is applied on a countercurrent imbibition flow system in which both the displacing and the displaced fluids move in opposite directions. Physical variables, including water-nanoparticles suspension saturation, nanoparticles concentration, and pore wall/throat concentrations of deposited nanoparticles, are investigated under the influence of the magnetic field. Two different locations of the magnet are studied numerically, and variations in permeability and porosity are considered.
Highlights
Industry is looking seriously into using nanotechnology as a viable tool to solving new challenges in several fields
Ju and Fan [8] calibrated a model for nanoparticles transport in two-phase flow in porous media based on the formulation of the colloid model of fine particles transport in two-phase flow in porous media [9]
Consider suspension of magnetic nanoparticles injected in an isothermal incompressible water-oil two-phase flow under an external magnetic field
Summary
Industry is looking seriously into using nanotechnology as a viable tool to solving new challenges in several fields. One of the prospective applications of nanotechnology is nanoferrofluids, as the flow of such fluids can be controlled by the introduction of external magnetic field This opens the way for various applications from directing flow in reservoir monitoring, diverting flow in acid jobs to control and boost of injection fluid advancement during pressure maintenance to increase oil recovery. Oil recovery can be increased by using nanoparticles with electromagnetic properties (such as iron oxide, Fe2O3, and zinc oxide, ZnO) under waves generated from an electromagnetic source Both direct and alternating magnetic fields are under investigation; in our case here we will focus on direct magnetic field. We develop a mathematical model to describe the magnetic nanoparticles-water suspension imbibition into an initially oil saturated porous domain under magnetic field effect. Numerical experiments for the two cases are performed and results are introduced in graphical representations
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