Discrete-fracture-model of multi–scale time-splitting two–phase flow including nanoparticles transport in fractured porous media
KAUST DepartmentComputational Transport Phenomena Lab
Physical Sciences and Engineering (PSE) Division
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AbstractIn this article, we consider a two-phase immiscible incompressible flow including nanoparticles transport in fractured heterogeneous porous media. The system of the governing equations consists of water saturation, Darcy’s law, nanoparticles concentration in water, deposited nanoparticles concentration on the pore-wall, and entrapped nanoparticles concentration in the pore-throat, as well as, porosity and permeability variation due to the nanoparticles deposition/entrapment on/in the pores. The discrete-fracture model (DFM) is used to describe the flow and transport in fractured porous media. Moreover, multiscale time-splitting strategy has been employed to manage different time-step sizes for different physics, such as saturation, concentration, etc. Numerical examples are provided to demonstrate the efficiency of the proposed multi-scale time splitting approach.
CitationEl-Amin MF, Kou J, Sun S (2017) Discrete-fracture-model of multi–scale time-splitting two–phase flow including nanoparticles transport in fractured porous media. Journal of Computational and Applied Mathematics. Available: http://dx.doi.org/10.1016/j.cam.2017.11.008.
SponsorsThe first author is thankful to the Effat University Deanship of Graduate Studies and Research for providing the financial support through internal research grants system, Decision No. UC#8/30.APR.2017/10.2-30(F).