Page 123 - Fundamentals of Enhanced Oil and Gas Recovery
P. 123

Miscible Gas Injection Processes                                                    111


                   Solution: At the beginning, the modified critical temperature is computed by the
                   followings:
                      T cm 5  P w i 1 T ci 5 51:77 C, from Eq. (4.18)

                      Then, the effect of H 2 S impurity on MMP can be taken into account through
                   Eq. (4.17) as follows:


                                                             ð 1:935 3 87:8Þ

                                                  87:8       ð 1:8 3 T cm 132Þ
                                    F impure 5                        5 0:618;
                                              1:8 3 T cm 132
                    from Eq. (4.17)
                      Multiplying this factor by the predicted value of Eq. (4.15),wehave
                      MMP 5 0:618 3 11:562 5 7:145 MPa, from Eq. (4.15)



                   4.3.2.7 Impurity Correction Factor by Sebastian et al. [38]
                   In addition to Alston et al. [37], Sebastian et al. [38] also applied a correction factor
                   (F impure )toAlstonet al. [37] MMP correlation, which is a function of modified impuri-
                   ties critical temperature (T cm ) and their mole fraction (x i ) by the following relationships:
                                             22                       24            2
                       F impure 5 1:0 2 2:13 3 10 ðT cM 2 304:2Þ 1 2:51 3 10 ðT cM 2304:2Þ  (4.19)
                                                        3
                               2 2:35 3 10 ðT cM 2304:2Þ .. .
                                          27
                   where
                                                       X
                                                T cM 5    x i 3 T ci                     (4.20)
                   where T ci , T cM , F impure , and x i indicate the critical temperature of each component in
                   K, modified impurities critical temperature in K, impurity correction factor, and
                   mole fraction of each component, respectively. H 2 S critical temperature is modified to
                   51.67 C.

                   Example 4.9: In Example 4.7, calculate the MMP by Sebastian et al. [38] consider-
                   ing H 2 S mole fraction of 0.1 as an impure component.

                   Solution: At the beginning, the modified critical temperature is computed as follows:

                                                 X
                                          T cM 5    x i 3 T ci 5 278:317 K
                   from Eq. (4.20)
                      The effect of H 2 S impurity on MMP can be taken into account through
                   Eq. (4.19) as follows:
                                               22                        24            2
                          F impure 5 1:0 2 2:13 3 10 ðT cM 2 304:2Þ 1 2:51 3 10 ðT cM 2304:2Þ
                                                          3
                                            27
                                  2 2:35 3 10 ðT cM 2304:2Þ 5 1:723
                   from Eq. (4.19)
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