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1/4 Risk: Theory and Application
          threats can be  generally grouped into two categories: time-   case of service interruption discussed in Chapter 10, the gen-
          dependent failure mechanisms and random failure mechanisms,   eral definition of failure in this book will be excessive leakage.
          as discussed later.                        The term leakage implies that the release of pipeline contents
            The phrases threat assessment and hazard identification are   is  unintentional. This lets  our  definition distinguish a  fail-
          sometimes used interchangeably in this book when they refer to   ure from a venting, de-pressuring, blow down, flaring, or other
          identifying mechanisms that can lead to a pipeline failure with   deliberate product release.
          accompanying consequences.                   Under this working definition, a failure will be clearer in
                                                     some cases than others. For most hydrocarbon transmission
          Risk                                       pipelines, any leakage (beyond minor, molecular level emis-
                                                     sions) is excessive, so any leak means that the pipeline has
          Risk is most commonly defined as the probability of an event   failed. For municipal systems, determination of failure will not
          that causes a loss and the potential magnitude of that loss. By   be as precise for several reasons, such as the fact that some
          this definition, risk is increased when either the probability of   leakage is only excessive-that   is, a pipe failure-after it has
          the event  increases  or  when the magnitude  of the potential   continued for a period of time.
          loss (the consequences of the event) increases. Transportation   Failure occurs when the structure is  subjected to stresses
          ofproducts by pipeline is a risk because there is some probabil-   beyond its capabilities, resulting in its structural integrity being
          ity of the pipeline failing, releasing its contents, and causing   compromised. Internal pressure, soil overburden, extreme tem-
          damage (in addition to the potential  loss of the product itself).   peratures, external forces, and fatigue are examples of stresses
            The most  commonly accepted definition of risk  is  often   that must be resisted by pipelines. Failure or loss of strength
          expressed as a mathematical relationship:   leading to failure can also occur through loss of material by
                                                     corrosion or from mechanical damage such as scratches and
                 Risk = (event likelihood) x (event consequence)   gouges.
                                                       The answers to what can go wrong must be comprehensive in
            As such, a risk is often expressed in measurable quantities   order for a risk assessment to be complete. Every possible fail-
          such as the expected frequency of fatalities, injuries,  or economic   ure mode and initiating cause must be identified. Every threat
          loss. Monetary costs are often used as part of an overall expres-   to the pipeline, even the more remotely possible ones, must be
          sion of risk however, the difficult task of assigning a dollar   identified. Chapters  3 through 6 detail possible pipeline failure
          value to human life or environmental damage is necessary in   mechanisms grouped into the four categories of Third Par&
          using this as a metric.                    Corrosion. Design, and Incorrect Opemtions. These roughly
            Related risk terms include Acceptable risk, tolerable risk,   correspond to  the  dominant failure modes  that  have  been
          risk tolerance, and negligibie risk, in which risk assessment   historically observed in pipelines.
          and decision making meet. These are discussed in Chapters 14
          and 15.
            A  complete understanding of the risk  requires that three   Probability
          questions be answered:                     By the commonly accepted definition of risk, it is apparent that
                                                     probability is a critical aspect of all risk assessments.  Some
          1.  What can go wrong?                     estimate of the probability of failure will be required in order
          2.  How likely is it?                      to assess risks. This addresses the second question of the risk
          3.  What are the consequences?             definition: “How likely is it?”
                                                       Some think of probability as inextricably intertwined with
            By answering these questions, the risk is defined.   statistics. That is, “real” probability estimates arise only from
                                                     statistical  analyses-relying   solely  on  measured  data  or
          Failure                                    observed occurrences. However, this is only one of five defini-
                                                     tions of probability offered in Ref. 88. It is a compelling def-
          Answering the question of “what can go wrong?’  begins with   inition since it is rooted in aspects of the scientific process and
          defining  a  pipeline  failure.  The  unintentional  release  of   the familiar inductive reasoning. However, it is almost always
          pipeline contents is one definition. Loss ofintegrity is another   woefully incomplete as a stand-alone basis for probability esti-
          way to characterize pipeline failure. However, a pipeline can   mates  of complex systems. In  reality, there are no  systems
          fail in other ways that do not involve a loss of contents. A more   beyond very simple, fixed-outcome-type systems that can be
          general definition is  failure to perform its intended function.   fully understood solely on the basis of past observations-the
          In assessing the risk of service interruption, for example, a   core of statistics. Almost any system of a complexity beyond a
          pipeline can  fail  by  not  meeting  its  delivery  requirements   simple roll of a die, spin of a roulette wheel, or draw from a
          (its  intended  purpose). This  can  occur  through  blockage,   deck of cards will not be static enough or allow enough trials for
          contamination, equipment failure, and so on, as discussed in   statistical analysis to  completely  characterize its  behavior.
          Chapter 10.                                Statistics requires data samples-past  observations from which
            Further complicating the quest for a universal definition of   inferences can be drawn. More interesting systems tend to have
          failure is the fact that municipal pipeline systems like water and   fewer available observations that are strictly representative of
          wastewater and even natural gas distribution systems tolerate   their current states. Data interpretation becomes more and more
          some amount of leakage (unlike most transmission pipelines).   necessary to obtain meaningful estimates. As systems become
          Therefore, they might be considered to have failed only when   more complex, more variable in nature, and where trial obser-
          the leakage becomes excessive by some measure. Except in the   vations are less available, the historical frequency approach
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