Page 132 - Well Logging and Formation Evaluation
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122               Well Logging and Formation Evaluation

            Following the same logic through as before, the EMV is:


                               +
                                                           +
          DEMV = (R*  ( 0.3*700 0.7*500) + (1 - R *  0.3*650 0.7*400) - .5 )
                                                                       0
                                                ) (
                   - ( .*0 3 650  + . *0 7 500 ).
                                                                      (8.2)
          For the case in which R = 0.5 (50% probability of being correct):

                         -
             DEMV = 517 545   = -28
          Hence, your decision to undertake NMR logging has cost the company
          $28 million!
            Whenever I have seen these kinds of decision-tree calculations per-
          formed, the possibility that the data acquired may lead one to make the
          wrong decision is never considered. Equation 8.2 allows you to calcu-
          late the value of R at which the data acquisition becomes worthwhile. If
          we plot the DEMV vs. R, we get the result shown in Figure 8.3. From
          the plot we can see that below a reliability of 67%, the NMR tool is
          not worth running. The plot can also tell us what the economic benefit
          would be of taking steps (e.g., further tool calibration, special studies,
          etc.) to improve the reliability of the tool. Such plots are a persuasive
          means of convincing management of the benefits of data acquisition




                       30
                       20
                       10 0
                     DEMV (MM$)  –10


                      –20
                      –30
                      –40
                      –50
                      –60
                         0      0.2     0.4     0.6    0.8      1
                                            R

                                 Figure 8.3 DEMV vs. R
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