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54      Hybrid Enhanced Oil Recovery using Smart Waterflooding































                FIG. 3.8 Calculation of kaolinite-water and oil-water speciation and electrostatic attraction concentration
                products at different pH conditions. (From Brady, P. V., & Krumhansl, J. L. (2012). A surface complexation

                model of oilebrineesandstone interfaces at 100 C: Low salinity waterflooding. Journal of Petroleum Science
                and Engineering, 81, 171e176. https://doi.org/10.1016/j.petrol.2011.12.020.)

          between calcite surface groups and oil surface groups is  base groups, and then, surface species form. Either
          modeled to represent the indirect electrostatic adhe-  EDL or NEDL models are incorporated for the surface
          sion. In contrast to the sandstone, the carbonate surface  complexation modeling. When the change of surface
          is made up of hydrated calcium and carbonate sites.  potential is not significant, the NEDL model is used
          Therefore, there are other surface complexations of  and results in the constant surface potential. Otherwise,
          the calcite (Table 3.2).                      the EDL model via Gouy-Chapman theory applies
            Qiao, Johns, and Li (2016) developed an in-house  to calculate the surface potential when the surface
          simulator, PennSim, to model the mechanistic LSWF  potential highly changes owing to surface adsorption.
          process incorporating a detailed surface and aqueous  For the surface complexation reaction corresponding
          multicomponent reaction network involving a variety  to Eq. (3.73) on the calcite/water interface, the equilib-
          of adsorption/desorption. The mechanistic model  rium constant is defined as in Eq. (3.74).
          captures the competitive interactions in the system of     þ    2
                                                                                 4
          oil/brine/chalk surface. The study modeled the compre-  h CaOH 2 þ SO 4  4CaSO þ H 2 O  (3.73)
          hensive reactions occurred on the interface, as well as           2Fj o
                                                                      exp        hCaSO
                                                                                      4
          the general aqueous reaction and mineral dissolution/             RT
                                                                  K eq ¼                      (3.74)
          precipitation. The mineral reaction is kinetically             hCaOH 2 þ  a  2
                                                                                   SO 4
          controlled following the TST rate law. The aqueous
                                                          In the interface between oil and water, oil surface
          reactions and reactions on the surface occur relatively
                                                        complexation reactions are introduced and they are
          fast and are assumed to be at equilibrium. The reactions
                                                        also described by either NEDL or EDL models. This
          occurred on the surface include the various types of
                                                        study considers only the following reactions of oil
          surface complexation reactions similar to the study
                                                        surface complexations of carboxylate base group, not
          of Brady and Thyne (2016). The surface complexation
                                                        nitrogen gas group, as shown in Eqs. (3.75)e(3.77).
          reactions describe that the calcite surface sites can
          adsorb the aqueous ions and carboxylate/nitrogen           -COOH4-COO þ H þ         (3.75)
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