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5/102 Design Index
            Note that no credit is given for weaker components that are   of 2700 psig and are rated for 1800 psig in normal operation.
           protected from overpressure by other means. These scenarios   Again, the evaluator has no knowledge of the exact strength of
           are  examined  in  detail  in  the  incorrect  operations  index   the valves and meters, so he uses the normal operation rating
           (Chapter 6). The reasoning here is that the entire risk picture is   of 1800 psig.
           being examined in small pieces. The fact that there exists a   The weakest component, the pipe, governs; therefore,
           weak component contributes to this piece of the risk picture,
           regardless of protective actions taken. Even though a pressure   1700/900 = 1.89, which yields a point value of 3 1.2 points
           vessel is protected by a relief valve, or a thin-walled pipe sec-
           tion is protected by an automatic valve, the presence of such   Note that in the preceding examples, the pipeline segments
           weak  components in the  section being evaluated causes the   being evaluated have a mixture of components.  An alternative
           lower design-to-MOP ratio and hence the lower point values.   and often-preferable segmentation strategy would create a sep-
           Of course, the evaluator may insert a section break if she feels   arate pipeline segment, to be independently scored, for each
           that  a higher pressure section is being penalized by a lower   component present. This avoids the blending of dissimilar risks
           rated item when there is adequate isolation between the two.   within a segment scores. It has the further benefits of allowing
           Regardless of his choice, the adequacy of the isolation will be   similar components to be grouped and compared-”apples  to
           evaluated in the incorrect operations index (Chapter 6).   apples.” See discussions segmentation strategy (Chapter 2) and
                                                      also risk evaluations of station facilities (Chapter 13).
           Example 5.3: Calculating the safety factor for
           non-pipe components
                                                      B.  Fatigue (weighting: 1%0)
            The evaluator is examining a section of a jet fuel pipeline.   Fatigue failure has been identified to be the largest single cause
           The MOP of the pipeline is 1200 psig. This particular section   of metallic material failure [47]. Historical pipeline failure data
           has an aboveground storage tank that  is rated for  1000 psig   does not indicate that this is a dominant failure mechanism in
           maximum. The tank is the weakest component in this section. It
           is located on the low-pressure end of the pipeline and is pro-   pipelines, but  it is nonetheless an aspect of  risk. Because a
           tected by relief systems and redundant control valves such that   fatigue failure is a brittle failure, it can occur with no warning
           it never experiences more pressure than 950 psig. This effec-   and with disastrous consequences.
           tively isolates the tank from the pipeline system and does not   Fatigue is the weakening of a material due to repeated cycles
           require that the pipeline be  down-rated to a lower operating   of stress. The amount of weakening  depends on the number
           pressure. These safety measures, however, are not considered   and the  magnitude of the cycles. Higher stresses, occurring
           for this item and the design-to-MOP ratio is as follows:   more often, can cause more damage to the material. Factors
                                                      such as surface conditions, geometry, material processes, frac-
                                                      ture toughness, temperature,  type of stress applied, and welding
               Weakest component + system MOP = 1000/1200 = 0.80
                                                      processes  influence  susceptibility  to  fatigue  failure  (see
            This is based  on the fact that the weakest  component can   Cracking: a deeper look, in this chapter).
           withstandonly 1000 psig.Thisratesapoint scoreof-l0points.   Predicting the failure of a material when fatigue loadings
                                                      are involved is an inexact science. Theory holds that all mate-
                                                      rials have flaws--cracks,  laminations, other imperfections-
           Example 5.4: Calculating the safety factor for   if only at a microscopic level. Such flaws are generally too
           non-pipe components                        small  to  cause  a  structural  failure,  even  under  the  higher
                                                      stresses  of  a pressure  test.  These  flaws can  grow  though,
             In this section, the only components are pipe and valves. The   enlarging in length and depth as loads (and, hence, stress)  are
           pipe is designed to operate at 2300 psig by appropriate design   applied and then released. After repeated episodes of stress
           calculations. The overall system is rated for a MOP of 800 psig.   increase and reduction (sometimes hundreds of thousands of
           The valve bodies are nominally rated for maximum pressures   these episodes are required), the flaw can grow to a size large
           of  1400 psig,  with  permissible hydrostatic test  pressures of   enough to fail at normal operating pressures. Unfortunately.
           2200 psig. The  evaluator rates  the  weakest  component, the   predicting  flaw  growth accurately is not  presently possible
           valve bodies, to be 1400 psig. Because he has no exact informa-   from a practical standpoint. Some cracks may grow at a con-
           tion as to the strength of the valve bodies, he uses the pressure   trolled, rather slow rate, while others may grow literally at the
           rating that  is guaranteed by  the  manufacturer for long-term   speed  of  sound  through  the  material.  The  relationship
           service. The design-to-MOP ratio is, therefore,   between crack growth and pressure cycles is based on fracture
                                                      mechanics principles, but the mechanisms involved are not
               1400/800 = 1.75, which yields a point value of 26.3 points   completely understood.
                                                        For the purposes of risk analysis, the evaluator need not be
                                                      able to predict fatigue failures. He must only be able to identify,
           Example 5.5: Calculating the safety factor for   in a relative way, pipeline structures that are more susceptible to
           non-pipe components                        such failures.
                                                        Because it  is conservative to  assume that  any amount of
             Here, a section has valves, meters, and pipe. The MOP is   cycling is potentially damaging, a schedule can be set up to
           900 psig.  The  pipe  strength is  calculated to  be  1700 psig.   compare numbers and magnitudes of cycles. Stress magnitudes
           The valve bodies and meters can all withstand pressure tests   should be based on a percentage of the normal operating pres-
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