Page 177 - Intelligent Digital Oil And Gas Fields
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136                                       Intelligent Digital Oil and Gas Fields


          from existing well-treatment data, it is possible to find patterns and signifi-
          cant variables that affect the extreme values of pumping job-pause time
          (JPT) in a particular region, and what is the most critical value causing frac-
          ture screen outs. They performed four case studies on a database that
          included data from 200,000 fracturing and data-acquisition jobs from all
          over North America, since 2004. The data in the database included: com-
          pilation of general well and job information; job-level summary data;
          pumping schedule stage-level summary data; pumping schedule individual
          stage data, which included additives, wellbore and completion data, event
          log data, and equipment data. When mining such complex and extensive
          databases, the dependencies and correlations among the variables are mostly
          nonlinear, hidden, and highly nonintuitive. By failing to address such intri-
          cate data root-cause relations, frustration can occur when the well opera-
          tional conditions are thought to be understood but unexpected behavior
          occurs. This can lead to severe under-performance and economic failure
          of individual wells, even though the generic data indicates identical forma-
          tions, similar geologic conditions, and similar completion techniques, as
          “similar” wells performed significantly better. Similar high dependence
          on the nonlinear intra-variable effects and potentially negative consequences
          on the optimization of hydraulic fracturing jobs in shale plays are also
          reported by Cipolla (2015).
             To address the matter Maucec et al. (2015) have built classification trees
          to predict occurrences of fracture screen outs [as categorical response vari-
          ables (Fig. 4.16)] and regression trees to predict the JPT as a continuous
          variable.
             They used k-fold cross-validation to assess the misclassification probabil-
          ity for the classification tree and MSE for the regression tree (Fig. 4.17) and
          performed pruning to optimize the tree depth. In addition, they introduce
          CART enhancements (Maucec et al., 2012, 2013) by mapping the data
          points normal (mean¼0; variance¼1) domain using normal score trans-
          form (NST) and kernel k-means clustering to identify the variability of cor-
          related variables and further reduce the sample size. Both enhancements
          were found to improve the root-cause prediction capability of decision trees
          by reducing the mean prediction error.
             Further examples of predictive modeling with decision trees can be
          found in Singh (2015) where they are used for root-cause identification
          and production diagnostics of gas wells with plunger lift and in Schuetter
          et al. (2015) for production optimization in unconventional reservoirs.
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