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68      Hybrid Enhanced Oil Recovery using Smart Waterflooding

           (A)                                         (B)
               1000                                       10000
                                                                                      0.1 wt% NaCl
                                             500ppm                                  0.5 wt% NaCl
                                             1000ppm
                                                                                      1 wt% NaCl
                                             2000ppm
                Shear Viscosity,cP  10                    Shear Viscosity,cP  100
                                                           1000
                                                                                      2 wt% NaCl
                                             3000ppm
                                                                                      4 wt% NaCl
                100
                     Dot : Experiment Data                   10  Dot : Experiment Data
                     Line : Carreau Model Fit                   Line : Carreau Model Fit
                  1                                           1
                   0.01  0.1     1     10    100  1000        0.01   0.1    1     10    100  1000
                               Shear Rate, s –1                           Shear Rate, s –1
            (C)                                        (D)
                1000                                      1000
                                          0 wt% Ca++                                       25°C
                                         0.5 wt% Ca++                                      50°C
                                          0.1 wt% Ca++     100                             70°C
               Shear Viscosity,cP  10                     Shear Viscosity,cP  10
                                                                                           90°C
                                          0.15 wt% Ca++
                100



                     Dot : Experiment Data                      Dot : Experiment Data
                     Line : Carreau Model Fit                   Line : Carreau Model Fit
                  1                                          1
                   0.01   0.1    1     10    100   1000       0.01  0.1     1    10    100   1000
                               Shear Rate, s –1                           Shear Rate, s –1
                FIG. 4.1 The description of shear-thinning behavior of Flopaam 3630s as a function of (A) concentration, (B)
                salinity, (C) hardness, and (D) temperature. (Credit: From Lee, S., Kim, D. H., Huh, C., & Pope, G. A. (2009).
                Development of a comprehensive rheological property database for EOR polymers. Paper presented at the
                SPE annual technical conference and exhibition, New Orleans, Louisiana, 4e7 October. https://doi.org/10.
                2118/124798-MS.)


          experimental works to determine the adsorption pa-  polymer, hydrolysis of polymer, and temperature
          rameters of the non-linear Freundlich model during  (Sheng, 2011). The rock surface of calcium carbonate
          the transport of ions in clay-containing porous media.  has stronger affinity to the carboxylate groups of
                                                        HPAM compared with the rock surface of silica. The
                            b C i ¼ K F C n      (4.8)
                                  i                     higher salinity in brine increases the level of polymer
                                                        adsorption. Because the divalent cations contract the
                                aC i
                           b C i ¼               (4.9)
                              1 þ bC i                  size of the flexible HPAM molecules and reduce electro-
                                                        static repulsion between the carboxylic group of HPAM
          where C i is the adsorbed concentration of species i; C i is  and silica surface, the addition of cation promotes the
               b
          the equilibrium concentration of species i in the system;  adsorption of HPAM on silica surface. The degree of
          K F and n are the empirical constants of Freundlich  adsorption varies depending on the polymer type, i.e.,
          isotherm obtained by fitting experimental data; and a  nonionic, anionic, and cationic polymer, and molecular
          and b are the empirical constants of Langmuir isotherm.  weight of polymer. The adsorption of HPAM decreases
            The degree of adsorption is a function of rock sur-  with an increase in hydrolysis, but there is an optimum
          face, salinity, polymer type, molecular weight of  hydrolysis  for  the  minimum  adsorption.  The
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