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Fracturing fluid flow back                                     357


              when p g is reduced, y w must be increased. So water must be vaporized as the
              gas phase pressure is decreased.
                 However, when more water is vaporized, the salt concentration in the
              aqueous phase will be increased. As a result, x w will be decreased. Then
              the water vaporization will be reduced (Morin and Montel, 1995). Whether
              more water is vaporized depends on the competitive effect of pressure
              reduction and the effect of salinity increase. In real gas flow or petroleum
              problems, the effect of pressure reduction should be more important.
              When salt precipitation starts to occur, the salinity becomes a constant. Wa-
              ter is vaporized until no water exists, as the pressure declines.
                 In fracturing shale reservoirs, it has been observed that less water is pro-
              duced than the pumped fracturing fluid in some cases. Water vaporization is
              partly attributed to the phenomenon. However, Fig. 12.13 shows that the
              mole fractions of water vapor in the gas phase changes near 0.01 with a large
              pressure interval. In other words, even though the pressure changes signifi-
              cantly, the mole fraction in the gas phase remains very small. Then the water
              vaporization due to pressure drawdown should not be significant, if the gas is
              saturated with water initially.
                 Mahadevan and Sharma (2005) conducted corefloods to compare the
              liquid volumes removed by displacement and evaporation. Fig. 12.14 shows



                    1

                             Water removed
                   0.8
                             Water evaporated-experiment
                  PV Liquid Removed  0.6  Water evaporated-model
                             Water expelled


                   0.4


                   0.2


                    0
                     0.1      1       10      100     1000    10000   100000
                                              N PVg
              Figure 12.14 Liquid (brine) removed from Texas Cream limestone core by displace-
              ment and evaporation (p mean ¼ 3.0 atm., k ¼ 7.2 mD, and the core length 15.3 cm)
              (Mahadevan and Sharma, 2005).
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