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PROBABILISTIC DCA                                               255

                1. Gather rate-time
                      data         2. Specify input parameter  3. Specify
                                        distributions         constraints
                                                             For example:
                                             Uniform
                                                           Objective function
                                                               Gas rate
                                       Triangle               Cum gas








                     5. Apply constraints           4. Generate range
                       (select subset)               of decline curves







                       6. Generate EUR                 7. Determine
                     distribution for subset           P , P , P 90
                                                            50
                                                        10
                             FIgURE 13.2  Probabilistic DCA workflow.


              Step 4: generate decline curve trials
              Decline curve trials are obtained by running the DCA model. The number of trials
              is specified by the analyst.

              Step 5: Determine subset of acceptable trials
              The trials generated in Step DCA4 are compared to the criteria specified in
              Step DCA3. Each trial that satisfies the user‐specified criteria is included in a
              subset of acceptable trials.

              Step 6: generate percentile distribution of performance results
              The 10th (PC10), 50th (PC50), and 90th (PC90) percentiles are determined from
              the distribution of EUR values for the subset of acceptable trials.

              Step 7: generate probability distribution of performance results
              Each EUR percentile is related to the probability that the amount actually recov-
              ered equals or exceeds the estimate using the relationships P  = PC90, P  = PC50,
                                                              10
                                                                       50
              and P  = PC10.
                   90
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