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Risk assessment models 2/23
           either might  be  more appropriate for specific applications.               Highest
           Desired accuracy, achievable accuracy, intended use, and avail-               risk
           ability of resources are considerations in choosing an approach.
           Most pipeline risk efforts generally fall into the “model” cate-   High
           gory-seeking  to gain risk understanding in the most efficient
           manner.
             Although not always apparent, the most simple to the most   Consequence  ’I
           complex models all make use of probability theory and statis-
           tics. In a very simple application, these manifest themselves in
           experience factors and engineering judgments that are them-
           selves based on past observations and inductive reasoning; that
           is, they are the underlying basis of sound judgments. In the
           more mathematically rigorous models, historical failure data
           may drive the model almost exclusively.
             Especially in the fields of toxicology and medical research,
           risk  assessments incorporate dose-response  and  exposure -
           assessments into the overall risk evaluation. Dose-response
           assessment deals with the relationship between quantities of  Il Low
           exposure and probabilities of adverse health effects in exposed
           populations. Exposure assessment  deals  with  the  possible   Lowest  Low<I Likelihood =>High
           pathways, the intensity of exposure, and the amount of time a   risk
           receptor could be vulnerable. In the case of hazardous materi-   Figure 2.1  Simple risk matrix.
           als pipelines, the exposure agents of concern are both chemical
           (contamination scenarios) and thermal (fire related hazards) in
           nature. These issues are discussed in Chapters 7 and 14.   analyses. Initiating events such as equipment failure and safety
                                                      system malfunction are  flowcharted forward to  all possible
           Three general approaches                   concluding events, with probabilities being assigned to each
                                                      branch along the way. Failures are backward flowcharted to all
           Three general types of models, from simplest to most complex,   possible initiating events, again with probabilities assigned to
           are  matrix,  probabilistic, and  indexing  models.  Each  has   all branches. All possible paths can then be quantified based on
           strengths and weaknesses, as discussed below.   the branch probabilities along the way. Final accident probabil-
                                                      ities are achieved by  chaining the estimated probabilities of
           Matrix models                              individual events.
                                                        This technique is very data intensive. It yields absolute risk
           One of the simplest risk assessment structures is a decision-   assessments of all possible failure events. These more elaborate
           analysis matrix. It ranks pipeline risks according to the likeli-   models are generally more costly than other risk assessments.
           hood and the potential consequences of an event by a simple   They are technologically more demanding to develop, require
           scale, such as high, medium, or low, or a numerical scale; from 1   trained operators, and need extensive data. A detailed PRA is
           to 5, for example. Each threat is assigned to a cell of the matrix   usually the most expensive of the risk assessment techniques.
           based on its perceived likelihood and perceived consequence.   The output of a PRA is usually in a form whereby its out-
           Events with both  a high  likelihood and a high consequence   put can be directly compared to other risks such as motor vehi-
           appear higher on the resulting prioritized list. This approach   cle  fatalities  or  tornado  damages.  However,  in  rare-event
           may simply use expert opinion or a more complicated applica-   occurrences, historical data present an arguably blurred view.
           tion might use quantitative information to rank risks. Figure 2.1   The PRA methodology was first popularized through oppo-
           shows a matrix model. While this approach cannot consider all   sition to various controversial facilities, such as large chemical
           pertinent factors and their relationships, it does help to crystal-   plants andnuclear reactors [88]. In addressing the concerns, the
           lize thinking by  at least breaking the problem into two parts   intent was to obtain objective assessments of risk that were
           (probability and consequence) for separate examination.   grounded in  indisputable scientific facts and rigorous  engi-
                                                      neering analyses. The technique therefore makes extensive use
           Probabilistic models                       of failure statistics of components  as foundations for estimates
                                                      of  future failure probabilities. However,  statistics paints an
           The most rigorous and complex risk assessment model is a   incomplete picture at best, and many probabilities must still be
           modeling approach commonly referred to as  probabilistic risk   based on expertjudgment. In attempts to minimize subjectivity,
           assessment  (PRA) and  sometimes also  called  quantitative   applications of this technique became increasingly comprehen-
           risk assessment (QRA) or numerical risk assessment (NRA).   sive and complex, requiring thousands of probability estimates
           Note that these terms carry implications that are not necessarily   and like numbers ofpages to document. Nevertheless, variation
           appropriate as discussed elsewhere. This technique is used in   in probability estimates remains, and the complexity and cost
           the nuclear, chemical, and aerospace industries and, to some   of this method does not seem to yield commensurate increases
           extent, in the petrochemical industry.     in  accuracy or applicability [MI. In  addition to  sometimes
             PRA is a rigorous mathematical and statistical technique that   widely  differing results from “duplicate” PRAs  performed
           relies heavily on historical failure data and event-treelfault-tree   on the same system by different evaluators, another criticism
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