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228               Well Logging and Formation Evaluation

          Exercise 4.2: Log-derived J function


            A value of S wirr of 0.05 has been assumed. Fitting S wr to J:


            1.0









           Swr

                             Log (Swr) = 0.354 – 0.458*log (J)
            0.1











            0.01

            0.1                           1.0    J                       10



            This yields a = 0.354, b = –0.458. The full function is:

                        .
                  .
                     +
                                   .
                                (
            S w = 0 05 0 354*  JŸ -0 458 )
                     -
                 .
                       .
            J = (1 02 0 85 ) 0 433 3 281* .  * .  ( *  h)*  k ( f ) 26
            h = (646 depth )
                    -
            Where h is in m, k in md, f as fraction.
            There is virtually no difference between the core and log derived
          functions, so it does not really matter which is used. I would nevertheless
          recommend to use the core-derived function, since this can be more
          easily updated if further core data becomes available.
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