Page 334 - Petrophysics 2E
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PROBLEMS         303



                                                          TABLE 48
                            Sample No.  Permeability  Porosity        F    V&  (%)  Rt Ohm-m

                                            127.0000       0.151     29.58   4.46        31
                                            237.0000       0.171     24.40   4.17        38
                                              3.1600       0.098    74.68    7.32        19
                                              17  .GO00    0.113     47.17   5.33        27
                                               1.6200      0.093    87.53    8.14        12
                                              0.2280       0.075    128.32   9.62         9
                                              2.7600       0.098     78.41   7.68        18
                                              0.0248       0.040   312.41    12.5         3



                              5. Table 4B shows values of permeability, porosity, formation resistivity
                                factor,  shale (clay)  fraction,  and  resistivity R,,  of  eight  zones  of
                                a shaley (clayey) formation. The resistivity of shale is 4 ohm-m and
                                the formation water resistivity is 0.1 ohm-m.

                                (a)  Estimate  the  water  saturation  in  each  zone  using  (1)  the
                                    generalized shale relationship,  and (2)  Hilchie’s approximate
                                    shale relationship, and compare the results.
                                (b)  Determine the tortuosity factor and  correlate  with  the  shale
                                    fraction. Explain.
                             6. The following data are obtained from a Texas Gulf Coast well:



                                                                 Zone A      Zone B

                                      Porosity, %                 28.40        25.2
                                      Water resistivity, ohm-m     0.06         0.06
                                      True resistivity, ohm-m      1.8          1 .o



                                 (a)  Calculate water saturation in Zones A and B.
                                (b) Which zone is more likely to be producible?

                              7. Core  analysis  and  well  logging yielded  the  following  data  for  a
                                limestone formation: @  = 0.15, Rt  = 25 ohm-m, Rw  = 0.lOohm-m,
                                and n = 2.75. Determine the water saturation.
                              8. A shaly (clayey) sandstone interval has the following characteristics:

                                Rw = 0.02 ohm-m       m = 2.0        GR = 40 API units

                                Rw  = 3.0 ohm-m        a = 1.0     GR,h  = 76 API units
                                Rw = 10.0 ohm-m        I$  = 17.9   G&,  = 20 API units
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