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OILWELL TESTING                                    200

                     EXERCISE 7.6 HORNER PRESSURE BUILDUP ANALYSIS, INFINITE
                                      RESERVOIR CASE

                     A discovery well is produced for a period of approximately 100 hours prior to closure
                     for an initial pressure buildup survey. The production data and estimated reservoir and
                     fluid properties are listed below



                            q         =    123 stb/d                         =     0.2
                                                                   φ
                                      =    500 stb                           =     1  cp
                            N p                                    µ
                            h         =    20 ft                   B oi      =     1.22 rb/stb

                                                                                         -6
                                      =    0.3 ft                  c         =     20×10 /psi
                            r w
                            A         ≈    300 acres                         =     (c o S o +c w +S w +c  )
                                                                                                    f
                     and the pressures recorded during the test are listed in table 7.5.

                     1)  What is the initial reservoir pressure?

                     2)  If the well is completed across the entire formation thickness, calculate the effective
                        permeability.

                     3)  Calculate the value of the mechanical skin factor.

                     4)  What is the additional pressure drop in the wellbore due to the skin?

                     5)  If it is initially assumed that the well is draining from the centre of a circle, is it valid
                                        *
                        to equate p i to p ?
                    Closed-in time       Wellbore pressure      Closed-in time     Wellbore pressure
                      ∆t (hrs)                  (psi)              ∆t (hrs)               (psi)
                         0.0                  4506 (p wf )
                         0.5                  4675                     3.0              4763
                         0.66                 4705                     4.0              4766
                         1.0                  4733                     6.0              4770
                         1.5                  4750                     8.0              4773
                         2.0                  4757                   10.0               4775
                         2.5                  4761                   12.0               4777
                                                          TABLE 7.5


                     EXERCISE 7.6 SOLUTION

               1)    The effective flowing time is

                               N          500
                           t =  p  ×  24 =    ×  24 = 97.6 hrs
                              q final    123


                                                                       t +∆ t
                     Points on the Horner build up plot of p ws versus log   are listed in table 7.6.
                                                                          t ∆
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