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252                                                              Chapter I4


          Two alternatives are studied in this example:

          1.  de-rating;
          2.  inhibitors.

                                         I
                                e        I
                                2        I


                                     - -40% Reduction
                                -
                                     - -30% Reduction
                                E  -.
                                +.
                                2    - 20% Reduction
                                o’
                                     -No
                                         Reduction
                                6    - - 10% Reduction
                                Z -1.a   I     I
                                    0    5    10    15    20
                                          Service Time (Years)
          Figure 14.11 Annual Failure Probability for Induced Operating Pressure.
          De-rating
          The reduced operation pressure reduces the annual  maximum  pressure as well as, to some
          extent, reduce the additional corrosion growth.
          In Figure 14.11, the estimated annual bursting failure probability in the time period after the
          year  10 is  shown  as  a  function  of  the relative reduction  in  the  operating pressure.  It  is
          illustrated  in  Figure  14.11  that  the  time  period  until  probability  of  failure  10”  is
          approximately 14, 17 and 21 years when the operating pressure is reduced with  IO%,  20%,
          and 30% respectively.


          Inhibitors
          The use of  inhibitors reduces the additional corrosion growth over the remaining service life
          and thereby reduces the annual failure probability over time. Inhibitors resulting in 50%, 60%,
          70%  and  80%  corrosion  reduction  are  considered  in  the  example  applications. As  the
          mitigation  effects  are  uncertain,  the  influence  of  the  inhibitors  are  modeled  as  Beta
          distribution with a median (50%) value as the specified corrosion reduction effect and a COV
          of 50%.

          The reduction in the degree of grooving corrosion due to the use of inhibitors is illustrated in
          Figure  14.12. The  figure  shows the  expected corrosion  depth  over  the  time.  The  use  of
          inhibitors greatly reduces the corrosion rate. Figure 14.13 shows the estimated annual bursting
          failure probability in the time period after the 10 years service. The use of  inhibitors reduces
          the failure probability.
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