Page 327 - Pipelines and Risers
P. 327

300                                                              Chapter 16

              Probability of object landing within a cone area containing the flowline or spool.
              Probability of object hitting the spool or flowline (inside the cone area).


           This is expressed in Equation 16.7.
                                 A                                            (16.6)
                P(hit)  = P(drop).P(A,).-
                                 A,
           where:
                P(hit)=Probability of a dropped object hitting flowline, spool andor umbilical
                P(drop)=Probability of an object being dropped
                P(&)=Probability of a dropped object hitting the cone area &
                AFArea of flowline, spool andor umbilical within Ac, assumed = length x 1 m.

           Energy absorbed by steel pipe
           The energy required  for  a  knife  edge  indentor to  produce  a  dent  in  a  pipeline  may  be
           calculated as follows:

                E,  = 25.SMYS. t2                                             (16.7)
           where:
                SMYS= Specified Minimum Yield Strength
                t= wall thickness
                A= dent depth, assumed max. 3.5%  of OD based on serviceability
                OD= outside diameter

           The effect of  coatings and surface area of  the falling object is conservatively neglected in
           Equation 16.8.


           Basic Data and Assumptions for risk analysis
           This example will consider the hit probabilities for a generalized L-spool. Table 16.9 presents
           the basic data for these calculations.
           A  lOOm  section  of  rockdump  is  assumed  to  follow  directly  after  each  spool.  The  hit
           probabilities are calculated for two areas:


              Probability of hitting the spool between the template and the start of the rockdump
              Probability of hitting the pipeline outside the rockdump, but inside the 99% cone area

           The probability of the line being hit outside the 99% cone is considered negligible.
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