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424                            Enhanced Oil Recovery in Shale and Tight Reservoirs


          Table 13.5 TGA kinetic data of the oxidation reactions.
                   Temperature
                   range for the                 Activation    Frequency
          Reaction  data used, C  Slope  Intercept  energy, kJ/gmol  factor, s L1

          LTO1     215e272 C      989    0.119    18.93        7.60E-01

          LTO2     272e308 C     1046    0.019    20.02        9.57E-01

          NTC      308e350 C       555   2.774    10.63        1.77E þ 04


             Note that a negative activation energy value is obtained from the
          experimental data in this temperature. Khansari et al. (2014) also obtained
          negative activation energy values. The negative activation energies are not
          physically realistic but suggest that there are competitive reactions occurring
          within the system. There are intermediate compounds produced during the
          earlier temperature ranges which are reactive, but they are consumed within
          the later ranges (Khansari et al., 2014). Also note that the temperature ranges
          are for the data used to define the reaction kinetic parameters, not the actual
          reaction temperature ranges. An actual reaction may cover different temper-
          ature ranges, depending on the available compositions, values of kinetic
          parameters, and actual temperature history.
             With the three reactions defined, the Arrhenius method is used to
          analyze TG data. The corresponding activation energy values estimated
          from the slope and the frequency factor values from the intercept are
          presented in Table 13.5.
             Fig. 13.17 shows the DSC data under air purging and nitrogen purging at
          the heating rate of 10 C/min. It shows the whole process of nitrogen

          purging is an endothermic process. For the air purging, it is endothermic
          before about 290 C. Then the earlier defined LTO 1 is in the endothermic

          stage. But an LTO process should be exothermic. Where does the heat go?
          Huang and Sheng (2017c) proposed two explanations. One is that during
          this marked LTO, the dominant mechanism is distillation. The heat from
          LTO is used to satisfy the need for distillation. The other one is that there
          are a number of incomplete oxidation gaseous products during this period
          which are purged out from the sample holder before being totally oxidized
          as reported by Fan et al. (2015). Zhao et al. (2012) also reported that light oil
          components and carbon monoxide are detected by GC at the outlet of the
          experimental setup. If the first explanation is valid, a better method is needed
          to analyze the data. If the second explanation is valid, the DSC experimental
          design needs to be improved. One way to improve such experiment is to use
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