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410                            Enhanced Oil Recovery in Shale and Tight Reservoirs

























          Figure 13.6 Thermograms (DSC curves) of comparative tests for nitrogen and air with
          oil (heating rate ¼ 10 C/min).

             Taking the natural logarithmic form, the above equation becomes

                                  0    1
                                   dH t
                                                  E
                                                                     (13.7)
                                  B dt C
                                ln@    A ¼ ln A
                                    H            RT
             The value of the activation energy can be estimated from the slope after
                   0    1
                     dH t
                      dt
                   B    A versus 1/T, and the Arrhenius constant is the intercept of
                        C
                      H
          plotting ln@
          the linear fit line (Huang et al., 2016b). Fig. 13.6 (Huang et al., 2016a) shows
          the DSC curves for the same oil sample used to generate the TG curves in
          Fig. 13.5. It shows that the heat released from nitrogen is negative, indicating
          an endothermic distillation process. Before 293 C, an endothermic distilla-

          tion process also occurred under oxygen purging. The first peak represented
          the low-temperature oxidation (LTO), and the second peak represented the
          high-temperature oxidation (HTO) (Bae, 1977). The range between the
          LTO and HTO represented the fuel deposition process.

          13.3.3 Practical values of kinetic parameters
          When the analytical method using the Arrhenius type of equation is used to
          estimate kinetic parameters, only approximately “overall average” values can
          be obtained, as there are several temperature ranges with each range having
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