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In this paper, we introduce a mathematical model to describe thenanoparticles transport carried by a two-phase flow in a porous mediumincluding gravity, capillary forces and Brownian diffusion. Nonlinear iterativeIMPES scheme is used to solve the flow equation, and saturation and pressureare calculated at the current iteration step and then the transport equation issoved implicitly. Therefore, once the nanoparticles concentration is computed,the two equations of volume of the nanoparticles available on the pore surfacesand the volume of the nanoparticles entrapped in pore throats are solvedimplicitly. The porosity and the permeability variations are updated at eachtime step after each iteration loop. Two numerical examples, namely, regularheterogeneous permeability and random permeability are considered. We monitorthe changing of the fluid and solid properties due to adding the nanoparticles.Variation of water saturation, water pressure, nanoparticles concentration andporosity are presented graphically.

Numerical Modeling of Nanoparticles Transport with Two-Phase Flow in Porous Media Using Iterative Implicit Method