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140                                       Intelligent Digital Oil and Gas Fields


          system. The objective is to minimize the overall life cycle cost of tools,
          which includes the cost of maintenance and cost of failure. The optimization
          variables are maintenance intervals and operational parameters such as RPM,
          WOB, and ROP. Kale et al. (2015) have integrated qualification test data,
          operational data, drilling dynamics, and historical FRACAS (Failure
          reporting analysis and corrective action system) information with mathemat-
          ical and statistical models—such as a proportional hazard model, cumulative
          damage model, characteristic life function and maximum likelihood estima-
          tion, and outlier detection—to predict the time to failure of critical compo-
          nents. They validated the proposed methods to optimize maintenance
          intervals of a rotary steerable system with and without a motor.
             Popa et al. (2008) have introduced a case-based reasoning (CBR)
          (Montani and Jain, 2010) approach for well failure diagnostics and planning.
          The CBR is basically a problem-solving expert system that derives knowl-
          edge and expertise from a library of historic cases, rather than from classical
          encoded rules. The data used in CBR systems usually represents the knowl-
          edge, experience, and thought process that the user would exercise in, for
          example, a well intervention event. Fig. 4.18 shows a diagram of a generic
          CBR process, adapted from Aamodt and Plaza (1994). Popa et al. (2008)
          have applied the CBR process to improve sanded/seized well intervention
          planning. They have demonstrated the significance and unique advantage of
          CBR tools over other ML methods such as NNs, through efficient



                                    New case

                                     Retrieve
                                      case

                                                   Similar
                                                   cases


                                    Case–based
              Retain     Learned                         Reuse       Rules
               case       case       reasoning         historical case
                                    knowledge
                                     domain
             Learned                 Revise              Proposed
              solution               solution             solution
          Fig. 4.18 CBR process. Modules highlighted in yellow represent actions in the workflow.
          (Modified from Popa, A., Popa, C., Malamma, M., Hicks, J., 2008. Case-Based Reasoning
          Approach for Well Failure Diagnostics and Planning. SPE 114229, https://doi.org/10.
          2118/114229-MS.)
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