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8/196 Data Management and Analyses
           Sensitivity analysis                       in the corrosion index translates to some percentage reduction
                                                      in  risk  of  that  type  of  failure. This  improvement  could  he
           The overall algorithm that underlies a risk model must react   achieved through changes in a risk activity or condition such as
           appropriately-neither  too much nor too little-to  changes in   in-line inspection, close-interval surveys, or coating condition
           any and all variables. In the absence of reliable data, this appro-   or through some combination of changes in multiple variables.
           priate reaction is gauged to a large extent by expertjudgment as   Similarly, a change in the consequences (the leak impactfactol;
           to how  the  real-world  risk  is  really  impacted  by  a  variable   LIF) correlates to the same corresponding change in the overall
           change.                                    risk score.
            Sensitivity analysis generally refers to an evaluation of the   Some  variables  such as pressure  and population  density
           relative change in results due to a change in inputs-the  sensi-   impact both the probability and consequence sides of the risk
           tivity of outputs to changes in inputs. Sensitivity analysis can be   algorithm. In these cases, the impact is not obvious.
           a very  statistically  rigorous  process  if  advanced  techniques   A spreadsheet can be developed to allow "what-if''  compar-
           such  as ANOVA  (analysis  of  variance),  factorial  design,  or   isons and sensitivity analyses for specific changes in risk vari-
           other statistical design of experiments techniques are used to   ables. An  example  of  such  comparisons  for  a  specific  risk
           quantify the  influence  of specific variables.  However,  some   model is shown in Table 8.3. The last column of this table indi-
           simple mathematical and logical techniques can alternatively   cates the impact of the change shown in the first column. For
           be used to gauge the impact on results caused by changing cer-   instance, the first row shows that this risk model predicts a 10%
           tain inputs. Some of the previously discussed graphical tools   overall risk reduction for each 10% increase in pipe wall thick-
           can be useful here. For example, a correlation chart can help   ness, presumably in a linearly proportional fashion. (Note that
           verify expected relationships among variables or alert the ana-   any corrosion-related benefit from increased wall thickness is
           lyst to possible model weaknesses when expectations are not   not captured in this model since corrosion survivability is not
           realized.                                  being considered.)
            From the mathematical  formula behind the risk algorithm   Table 8.3 reflects changes from a specific set of variables
           presented in Chapters 3 through 7, the effect of changes on any   that  represent  a  specific  risk  situation  along  the  pipeline.
           risk variable can be readily seen. Any percentage change in an   Results for different sets of variables might be different. This
           index value represents a change in the probability of failure and   type of"what-if"  scenario generation also serves as a riskman-
           hence, the overall risk. For example, an increase (improvement)   agement tool.

           Table 8.3  "What-if" comparisons and analyses of changes in risk variables
           Change                        Variables affected        Change in overall risk (5%)
           Increase pipe wall thickness by 10%.   Pipe factor      -0. I
           Reduce pipeline operating pressure by 10%.   Pipe factor, leak size, MAOPpotential, etc.   -2.3
           Improve leak detection from 20 min to 10 min   Leak size (LIF)   -2.1
            (including reaction).
           If population increases from density of   LIF           +5.0
            22 per mile to 33 per mile (50% increase).
           Increase air patrol frequency.   Air patrol (third-party index)   Possibly  -5  depending on initial and end states
           Increase pipe diameter by 10%.   Pipe factor, leak size (LIF)   +9.1
           Improve depth-of-cover score by 10%.   Cover (third-party index)   -0.6
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