Page 143 - Fundamentals of Enhanced Oil and Gas Recovery
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Miscible Gas Injection Processes                                                    131



                                                   X o 5 1 2 X s                         (4.50)
                   where V is volume fraction and μ is viscosity in cp. The subscripts O, S, and m stand
                   for heavy oil, CO 2 , and CO 2 /heavy-oil mixture, respectively. The empirical parame-
                   ter α is determined by Eq. (4.51) as follows [121]:
                                                             7:36
                                                                    ð
                                                           e   2 e 7:36 12p r Þ
                                       α 5 0:255γ 24:16 T 1:85                           (4.51)
                                                       r       7:36
                                                              e   2 1
                   where
                                                          T
                                                   T r 5                                 (4.52)
                                                        547:57
                                                          p
                                                    p r 5                                (4.53)
                                                         1071
                   where specific gravity of the heavy oil, temperature, and pressure are indicated by γ, T
                   in R, and p in psi, respectively. The volume fraction of CO 2 in the mixture (X s ) can
                   be estimated from the CO 2 solubility or swelling factor, which is as follows [67]:
                                                   1             F 0 F s 2 1
                                                             5                           (4.54)
                                      X s 5
                                                  =F 0 R S 1 1  α 1 F 0 F s 2 1
                                            αF CO 2
                              is the ratio of CO 2 gas volume at standard conditions to the volume at
                   where F CO 2
                   system temperature and pressure, and F o is the ratio of oil volume at system tempera-
                   ture and 14.7 psi to the volume at system temperature and pressure.



                   4.12.2 Required Volume
                   The CO 2 storage capacity of a reservoir can be defined as the CO 2 remained in the
                   reservoir at the end of EOR operation and any extra CO 2 that can be injected after
                   the EOR project. It is showed that about 40% of the originally injected CO 2 is being
                   produced in the producer wells and can be reinjected [12,81]. Shaw and Bachu [81]
                   introduced an approach to determine the CO 2 storage capacity in the reservoir during
                   EOR process. At breakthrough time, the CO 2 storage capacity can be calculated as
                   follows [81]:
                                                               OOIP
                                                  5 ρ
                                                     CO 2 res
                                            M CO 2        RF BT                          (4.55)
                                                                 S h
                   where the CO 2 storage capacity in million tone (Mt), density of CO 2 at reservoir
                                   3
                   condition in kg/m , the recovery factor in percent, and oil shrinkage in 1/oil forma-
                                                                   , ρ
                                                                     CO 2 res
                   tion volume factor are exhibited by the symbols M CO 2  , RF BT , OOIP, and S h ,
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