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130     Hybrid Enhanced Oil Recovery using Smart Waterflooding


                  10000
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                   100
                    60
                    40
                    30
                    20
                    10
                    8
                    7
                    6
                    5 4                                      B
                  Viscosity (cSt)  3 2





                    1                                                                   F
                   0.9                                       C
                   0.8                                                             G
                   0.7
                   0.6                                      A
                                                                              D
                   0.5
                                                                                         E
                   0.4

                   0.3  -40  -30  -20  -10  0  10  20  30  40  50  60  70  80  90  100  110  120  130  140  150  170  190  210  230  250  270  290  310  330  350  370  390

                                                      Temperature(°C)
                FIG. 6.1 The exponential relationship between viscosity and temperature for various oil samples. (Credit:
                from Seeton, C. J. (2006). Viscosityetemperature correlation for liquids. Tribology Letters, 22(1), 67e78.
                https://doi.org/10.1007/s11249-006-9071-2.)

            The  dependency  of  relative  permeability  to  thermal capacity, and thermal conductivity. The water,
          temperature has been exploited by various experiments  oil, and rock exhibit the thermal expansion, and their
          (Lo & Mungan, 1973; Poston, Ysrael, Hossain, &  coefficients of thermal expansion are on the orders of
                                                           3
                                                                            1
                                                                4
          Montgomery, 1970; Qin, Wu, Liu, Zhao, & Yuan,  10 ,10 , and 10  5  C . The thermal expansion of
          2018; Schembre, Tang, & Robert Kovscek, 2005; Wein-  rock affects the expulsion of oil from pore space. In
          brandt, Ramey, & Casse, 1975). As the irreducible water  terms of thermal capacity per unit mass, i.e., specific
          saturation increases, residual oil saturation decreases,  heat, the specific heats of the liquids, gases, and rocks
          and the endpoint of water relative permeability in-  increase with an increase in the temperature. In addi-
          creases as the temperature increases (Fig. 6.2). However,  tion, the specific heats vary according to the composi-
          the chemical reactions or vaporization and condensing  tion. The thermal conductivity of gases increases with
          phenomena of gaseous components during in-situ  temperature, while that of most liquids and solids de-
          combustion could lead to unexpected results.  creases slightly with temperature. Because the reservoir
                                                        system is the combination of rock, liquids, and gases,
                                                        the equivalent thermal conduction of reservoir system
          THERMAL AND THERMAL DYNAMIC                   is defined considering the porosity, saturation of fluid,
          PROPERTIES                                    and thermal conductivity. The last factor, the latent
          The transport of thermal energy in reservoirs is affected  heat of vaporization, reduces the thermal energy to be
          by a number of factors including thermal expansion,  used for mechanisms of thermal recovery methods.
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