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Guo, Boyun / Computer Assited Petroleum Production Engg 0750682701_chap18 Final Proof page 275 4.1.2007 10:04pm Compositor Name: SJoearun




                                                                              PRODUCTION OPTIMIZATION  18/275
                              200
                                            RD = 0.4
                              180
                                            RD = 0.6
                              160           RD = 0.8
                             Increase in Flow Rate (%)  120  RD = 1.4
                                            RD = 1.0
                              140
                                            RD = 1.2
                                            RD = 1.6
                                            RD = 1.8
                              100
                                            RD = 2.0
                               80
                               60
                               40
                               20
                                0
                                 0     10     20    30     40     50    60     70    80     90    100
                                                             Looped Line (%)
                               Figure 18.11 Effects of looped line and pipe diameter ratio on the increase of gas flow rate.


                       transmission; and (c) loop 3 miles of the 4-in. pipeline with  Similar problems can also be solved using the spreadsheet
                       a 6-in. pipeline segment.                 program LoopedLines.xls. Table 18.2 shows the solution
                                                                 to Example Problem 18.3 given by the spreadsheet.
                       Solution
                                                                 18.7 Gas-Lift Facility
                       (a) Replace a portion of pipeline:        Optimization of gas lift at the facility level mainly focuses
                            L ¼ 10 mi                            on determination of the optimum lift-gas distribution
                            L 1 ¼ 7mi                            among the gas-lifted wells. If lift-gas volume is not limited
                            L 2 ¼ 3mi                            by the capacity of the compression station, every well
                            D 1 ¼ 4in:                           should get the lift-gas injection rate being equal to its
                            D 2 ¼ 6in:                           optimal gas injection rate (see Section 18.3). If limited
                                                                 lift-gas volume is available from the compression station,
                              v ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi


                              u                                  the lift gas should be assigned first to those wells that will
                              u     10
                              u                                  produce more incrementals of oil production for a given
                          q t  u   4 16=3
                            ¼ u                                  incremental of lift-gas injection rate. This can be done by
                          q 1  t  7  þ  3                        calculating and comparing the slopes of the gas-lift
                                 4 16=3  6 16=3                  performance curves of individual wells at the points of
                                                                 adding more lift-gas injection rate. This principle can be
                            ¼ 1:1668, or 16:68% increase in flow capacity:
                                                                 illustrated by the following example problem.
                       (b) Place a parallel pipeline:
                                                                 Example Problem 18.4 The gas-lift performance curves
                            D 1 ¼ 4in:                           of two oil wells are known based on Nodal analyses at well
                            D 2 ¼ 6in:                           level. The performance curve of Well A is presented in
                             p ffiffiffiffiffiffiffiffiffiffi  p ffiffiffiffiffiffiffiffiffiffi          Fig. 18.3 and that of Well B is in Fig. 18.12. If a total
                          q t  4 16=3  þ  6 16=3                 lift-gas injection rate of 1.2 to 6.0 MMscf/day is available
                            ¼   p ffiffiffiffiffiffiffiffiffiffi                     to the two wells, what lift-gas flow rates should be assigned
                          q 1     4 16=3
                                                                 to each well?
                            ¼ 3:9483, or 294:83% increase in flow capacity:
                                                                 Solution Data used for plotting the two gas-lift
                       (c) Loop a portion of the pipeline:
                                                                 performance curves are shown in Table 18.3. Numerical
                            L ¼ 10 mi                            derivatives (slope of the curves) are also included.
                            L 1 ¼ 7mi                              At each level of given total gas injection rate, the incre-
                            L 2 ¼ 3mi                            mental gas injection rate (0.6 MMscf/day) is assigned to
                            D 1 ¼ 4in:                           one of the wells on the basis of their performance curve
                            D 2 ¼ 6in:
                                                                 slope at the present gas injection rate of the well. The
                              v ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi  procedure and results are summarized in Table 18.4. The


                              u
                              u          10                      results indicate that the share of total gas injection rate by
                              u
                          q t  u        4 16=3                   wells depends on the total gas rate availability and per-
                            ¼ u 0                  1             formance of individual wells. If only 2.4 MMscf/day of gas
                              u
                          q 3  u
                              u B      L 1       L 3 C           is available, no gas should be assigned to Well A. If only
                              t @   p ffiffiffiffiffiffiffiffiffiffi  p ffiffiffiffiffiffiffiffiffiffi   2  þ  16=3 A  3.6 MMscf/day of gas is available, Well A should share
                                   4 16=3  þ  6 16=3  4          one-third of the total gas rate. If only 6.0 MMscf/day of
                                                                 gas is available, each well should share 50% of the total gas
                            ¼ 1:1791, or 17:91% increase in flow capacity:
                                                                 rate.
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