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Using Nanofluids to Control Fines Migration in Porous Systems  189




























              Figure 4.5 Comparison of fines effluent concentration history obtained from analyti-
              cal models (solid line, Yuan et al., 2017b; 2018b) and laboratory experimental results
              (discrete points, Arab and Pourafshary 2013) for types of nanoparticles utilizations to
              control fines migration.


              Within the time range from 1.0 to 1.13, due to the nanoparticle effects,
              there is no fines production at the outlet (C FP;eff 5 0), i.e., the rock grains
              with the effects of nanoparticles have retained all newly injected fine par-
              ticles. After t D1 5 3:3, the maximum retention capacity of rock grains
              (with respect to fines) is reached; as a result, the newly injected fines can-
              not be attached onto the rock grains anymore. From that point, the
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              injection-condition state (C FP;inj 5 0:02m =m ) spreads over the whole 1-
              D permeable medium, and the effluent concentration of fines also
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              increases gradually to also reach 0.02 m /m (i.e., the injection condi-
              tion). The optimal usage of nanoparticles should be the amounts that
              have been injected before t D3 5 3:3, which is about 0.001 pore volume in
              total (i.e., a very small relative quantity). It is worth mentioning that the
              shadowed envelop ABCD in Fig. 4.6A represents the cumulative reduc-
              tion quantity of fines production attributed to nanoparticle effects.
                 Scenario II demonstrates that before the breakthrough of injected fines
              at t D1 5 1:0, there are no fines produced at the outlet. Even after the
              breakthrough of injected fines, due to the positive effects of nanoparticle
              adsorption, there is an extended production period with very small
              amounts of fines (close to zero) produced at the outlet, as shown in
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