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132                                       Intelligent Digital Oil and Gas Fields



                                       Objective


                           Correct      Correct      Correct
                          pressures    saturations   flowrates


                                             Modify fluid  Modify well
                     Modify       Modify      properties   properties
                   permeability  porosity
                                               (PVT)       (IP,skin)
             Increase     Decrease      Increase     Decrease     Increase

                 Primary corrective layer  Secondary corrective layer  Direction layer
          Fig. 4.12 Examples of a hierarchical learning exercise composed of intelligent agents to
          perform autonomous history matching. (Modified from Zangl, G., Al-Kinani, A.,
          Stundner, M., 2011. Holistic Workflow for Autonomous History Matching using Intelligent
          Agents: A Conceptual Approach. SPE-143842-MS, https://doi.org/10.2118/143842-MS.)

          Kohonen self-organizing map (SOM) (Fig. 4.13); it is referred to as a map
          because it assumes a topological structure among its cluster units and effec-

          tively maps cluster weights w ij1 , w ij2 …, w ijn to input data vector x 1 , …, x n
          and generates output data vector y 1 , …, y n .
             Roy et al. (2013) are also using SOMs for supervised and unsupervised
          multi-attribute facies analysis in seismic stratigraphy, and Zangl and


                            Input vector
                          X=(x , x , ... , x )
                                     n
                                2
                              1
                                                w =(w , w , ... , w )
                                                              ijn
                                                 ij
                                                    ij1
                                                        ij2
                                                     Weights vector






                            Output vector
                          Y=(y , y , ... , y )
                                     n
                                2
                              1
          Fig. 4.13 A rendering of Kohonen self-organizing model architecture. (Modified from
          Magomedov, B., 2006. Self-Organizing Feature Maps (Kohonen Maps), https://www.
          codeproject.com/Articles/16273/Self-Organizing-Feature-Maps-Kohonen-maps.)
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