Homogenization of a nonlinear stochastic model with nonlinear random forces for chemical reactive flows in porous media

In this study, we establish new homogenization results for chemical reactive fluxes in porous media using a nonlinear stochastic model with random forces. This is mathematically represented by linear response equation, boundary condition, diffusion and external forces that affect the solute concentration fluid phase. A homogenized made up of equation extra terms reflecting impact adsorption reactions occurring on boundaries perforations differential term representing limit surface problem derived periodic unfolding operator method probabilistic compactness results. To guarantee entire sequence converges, also show uniqueness result problem. Finally, go over some applications interaction fluxes.