A mathematical model is presented for nanoparticle transport and retention in oilfield rocks under net repulsion condition. The model accounts for the particle capture rate proportional to the accessible suspension flux, the inlet concentration and outlet dilution effects. A new formulation for experimental study in engineered porous media allows excluding other mechanisms of particle retention except straining. The laboratory coreflooding tests show good agreement with the modeling results. The developed model allows calculating different particle concentrations in suspension and in deposit. It allows estimating depth penetration of nanoparticles and their propagation/accumulation in each reservoir point.

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