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46      Hybrid Enhanced Oil Recovery using Smart Waterflooding

          observed when injecting fluidisswitchedfrom    dissolution in the aqueous phase is required. Although
          seawater to low-salinity water. The numerical simula-  the numerical study of Omekeh et al. (2012) considered
          tion indicates that the ion exchange causes the high  the effect of solubilized CO 2 in aqueous phase on the
          retention of Ca 2þ , but carbonate mineral dissolution  geochemistry, it assumed the aqueous solubility
          generating Ca 2þ  in water slightly reduces the degree  without  thermodynamics  calculations.  However,
          of retention. The combined geochemical reactions  Nghiem et al. (2004) calculated the aqueous solubility
          contribute to the retention of effluent history of  of CO 2 incorporating the equilibrium relationship be-
          Ca 2þ . In the experiment, a slight reduction in the  tween aqueous and gases phases. The equilibrium rela-
          effluent concentration of Mg 2þ  is also observed when  tion of CO 2 between aqueous and gaseous phases is
          the injecting fluid is switched from formation water  described in Eq. (3.48). A phase equilibrium process de-
          to seawater. The numerical simulation explains  termines the solubility of CO 2 in aqueous phase and is
          that ion-exchange reaction reduces the effluent  modeled by the equality of fugacities between aqueous
          concentration of Mg 2þ . Because the seawater has  and gaseous phases as shown in Eq. (3.49). The EOS
          higher concentration of Mg 2þ  over formation water,  model (Peng & Robinson, 1976) calculates the fugacity
          the ion-exchange reaction replaces the adhered ions  in gaseous phase, and either Henry’s law (Li & Nghiem,
          with Mg 2þ  on the negative sites of the clay surface.  1986) or Søreide-Whitson-Peng-Robinson (Søreide &
          The study also examined the effluent pH as the result  Whitson, 1992) calculates the fugacity in aqueous
          of geochemical reactions. In the results of pH, the  phase. Eq. (3.50) indicates the Henry’s law, and the
          numerical simulation illustrates that the dissolution  Henry’s constant in the law is a function of temperature
          of calcite is sensitive to the pH of brine. The  and pressure following Eq. (3.51).
          low-salinity water has relatively high pH, and the injec-
                                                                       CO 2 ðaqÞ4CO 2 ðgÞ     (3.48)
          tion of low-salinity water contributes to less mineral
          dissolution compared with the injections of formation           f i;g ¼ f i;aq      (3.49)
          water and seawater. This numerical simulation study                                 (3.50)
                                                                         f i;aq ¼ H i x i
          successfully developed the LSWF process coupled                        Z
          with geochemistry and explained the experimental                  s  1  p
                                                                   ln H i ¼ ln H þ  v i dp    (3.51)
                                                                            i
          results from a geochemical point of view. However,                  RT  p H 2 O
                                                                                  s
          the numerical model employs the limited number of  where f i,j indicates the fugacity of species i, i.e., CO 2 ,
          geochemical reactions.                        in the phase j, H i is the Henry’s constant of species i,
            Nghiem, Sammon, Grabenstetter, and Ohkuma   x i is the mole fraction of species i in aqueous phase,
          (2004) advanced the GEM software, developed by  H is the Henry’s constant at the saturation pressure of
                                                         s
          CMG (Computer Modelling Group, Ltd.), coupled  i                           s
                                                        H 2 O, temperature, and zero salinity, p  is the satura-
          with the comprehensive geochemical reactions. The                          H 2 O
                                                        tion pressure of H 2 O, and v i is the partial molar volume
          GEM software is the multiphase, multicomponent,
                                                        of species i.
          and equation of state (EOS) simulator and also has a
                                                          The Henry’s constant at the H 2 O saturation pressure
          capability to model the geochemical reactions. Later,
                                                        and temperature also depends on the pressure and tem-
          Dang, Nghiem, Chen and Nguyen (2013) advanced
                                                        perature, and it is determined with the following Har-
          the GEM simulator to model the LSWF considering
                                                        vey’s  relation  (Harvey,  1996).  Harvey  (1996)
          comprehensive geochemical reactions. Before the
                                                        published the correlations of Henry’s constant at the
          description of work of Dang et al. (2013), the important
                                                        H 2 O saturation pressure and temperature to handle
          features of Nghiem et al. (2004) are discussed.
                                                        the effects of pressure and temperature for a few gaseous
            The purpose of the Nghiem et al. (2004) is to model
                                                        components (CO 2 ,N 2 ,H 2 S, and CH 4 ). For CO 2 , the
          the CO 2 storage process in saline aquifers. The
                                                        following correlation of Eq. (3.52) estimates pressure
          geochemical reactions include the aqueous reaction,  and temperature dependent of the Henry’s constant
          mineral  dissolution  and  precipitation,  and  ion  on the basis of saturation pressure of H 2 O and reduced
          exchange. The gaseous CO 2 has the solubility in the  temperature. Saul and Wagner (1987) provided the
          aqueous phase, and the aqueous solubility of CO 2 is  saturation pressure of H 2 O at the temperature. The
          of importance in the mechanisms of CO 2 storage.  partial molar volume of CO 2 is also defined to calculate
          Because the dissolved CO 2 in brine influences the pH  the Henry’s constant. Garcia (2001) presented the
          of brine and mineral reactions are highly affected
                                                        correlation of partial molar volume of CO 2 as a
          by the pH of brine, the accurate modeling of CO 2
                                                        function of temperature as shown in Eq. (3.53).
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