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56      Hybrid Enhanced Oil Recovery using Smart Waterflooding

                                                        Fathi, Austad, & Strand, 2010; Strand et al., 2008;
                                                        Yousef et al., 2011) to validate the LSWF model in chalk
                                                        and limestone cores. Although the mechanistic simula-
                                                        tions using NEDL model accurately predict the three
                                                        experimental measurements (Austad et al., 2012; Fathi
                                                        et al., 2010; Strand et al., 2008), they fail to model
                                                        the oil-wet coreflooding of Yousef et al. (2011). Instead,
                                                        the mechanistic simulation using EDL model success-
                                                        fully reproduces the oil production from the coreflood-
                                                        ing experiment. The numerical modeling of wettability
                                                        modification accurately predicts the experimental
                                                        measurements. In addition, hypothetical simulations
                                                        using the history-matched coreflooding (Austad et al.,
                                                        2012; Strand et al., 2008; Yousef et al., 2011) investigate
                                                        the role of anhydrite dissolution on the wettability
                                                        modification. The concentration of adsorbed carboxylic
                                                        group on the calcite surface is monitored when diluted
                                                        seawater or diluted formation water is injected into the
                                                        limestone and chalk (Fig. 3.11). The limestone contains



          FIG. 3.10 Species on the kaolinite-water surface and oil-
          water surface (left) and concentration products of electrostatic
          attraction (right) using surface complexation model. (From
          Brady, P.V., & Thyne G. (2016). Functional wettability in
          carbonate reservoirs. Energy and Fuels, 30(11), 9217e9225,
          https://doi.org/10.1021/acs.energyfuels.6b01895.)


           TABLE 3.2
           The Speciation of Surface Complexation of Calcite
           Reactions

           >CaOH þ HCO % >CaCO    þ H 2 O
                      3        3
           >CaOH þ 2  þ SO 2  % >CaSO    þ H 2 O
                               4
                      4
           >CO 3 H% >CO   3  þ H þ
                               þ
           >CO 3 H þ Ca 2þ  % >CO 3 Ca þ H þ
           >CO 3 H þ Mg 2þ  % >CO 3 Mg þ H þ
                               þ

                                   þ
              hCaOH þ  -COO    4hCaOH þ -COO    (3.78)
                                   2
                    2
                       þ
          where hCaOH ð-COO Þ indicates the adsorbed

                       2
          carboxylic group on the calcite surface.
            The concentration of the adsorbed carboxylic group
          on the calcite surface is used for the interpolation factor
          modifying both relative permeability and residual oil  FIG. 3.11 (A) Adsorption of carboxylic group on the calcite
                                                        surface and (B) oil recovery when formation water and diluted
          saturation. The simulation of wettability modification  formation water are injected in chalk and limestone. (From
          incorporates the linear modification models for the  Qiao, C., Johns, R., & Li, L. (2016). Modeling low-salinity
          relative permeability and residual oil saturation. The  waterflooding in chalk and limestone reservoirs. Energy and
          study simulated the various coreflooding experiments  Fuels, 30(2), 884e895. https://doi.org/10.1021/acs.
          (Austad, Shariatpanahi, Strand, Black, & Webb, 2012;  energyfuels.5b02456.)
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