Page 24 - Enhanced Oil Recovery in Shale and Tight Reservoirs
P. 24

14                             Enhanced Oil Recovery in Shale and Tight Reservoirs


             Combining Eqs. (2.9) and (2.10), we have

                                      CT gor   CT gr
                                  S o ¼                              (2.11)
                                       CT or   CT gr
             Then the oil recovery factor (RF) is

                                      S oi   S o
                                RF ¼           100%                  (2.12)
                                        S oi
          where S oi is the initial oil saturation. Although several groups of authors (Shi
          and Horne, 2008; Li and Sheng, 2016; Meng et al., 2017) used the above
          equation, the derivation lacks rigidity. An alternative derivation is proposed
          below.
             The mass balance equation for a core saturated with two fluids, gas and
          oil, is

                           r gor  ¼ð1   fÞr þ fS o r þ fS g r g      (2.13)
                                                 o
                                         r
             Assume the density of a system or material is proportional to its CT
          number,
                       CT gor ¼ð1   fÞCT r þ fS o CT o þ fS g CT g   (2.14)
             If the rock is saturated with oil or gas, we have

                                                                     (2.15)
                             CT or ¼ð1   fÞCT r þ fCT o
          and

                             CT gr ¼ð1   fÞCT r þ fCT g              (2.16)
             By combining Eqs. (2.14 and 2.16), Eq. (2.11) is derived.
             Fig. 2. 5 shows the cumulative distribution of CT numbers for the dry
          core, oil saturated core, and during eight cycles (Li and Sheng, 2016).
          The CT numbers in the cycles were between the one for the dry core
          and the one for the saturated core. The CT numbers decreased with cycle
          number. From the CT number in each cycle, oil saturation was calculated
          from Eq. (2.11), and the recovery factor was calculated from Eq. (2.12) as
          shown in Fig. 2.6.
             In the Tovar et al. (2014) experimental apparatus (Fig. 2.7), the frac-
          turing space between a core plug and the wall of a container is packed
          with glass beads to simulate hydraulic fractures. A CT scanner is used to
          monitor the oil saturation changes during the huff-n-puff CO 2 injection
          process. The oil recovery factor is calculated from CT numbers. The volume
   19   20   21   22   23   24   25   26   27   28   29