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Solutions to Exercises               227

                   CHAPTER 4: SATURATION/HEIGHT ANALYSIS


            Exercise 4.1: Core-Derived J Function

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





                        1




                      Swr                                      Core data
                                                               Model




                       0.1
                          1              10             100
                                         J





               This yields a = 0.45 , b =-0.3. The full function is:

                       +
                                    .
                                 (
                          .
                    .
               S w = 005 0 45*  JŸ -03 )
                          .
               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.
               Using the core derived J function actually resulted in a slight drop (2%)
            in the equivalent hydrocarbon column. This indicates that thin beds are
            not much of an issue in this sand, as is evidenced by the logs. Also, the
            deep resisitivity is a good estimate of R t .
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