Page 222 - Petrophysics 2E
P. 222

PROBLEMS          195


                                  c. Find  arithmetic,  geometric,  and  harmonic  means  of  the
                                     permeability. Also, calculate the standard deviation, normalized
                                     mean, and dispersion of the three means.
                                  d. Determine the arithmetic porosity mean and the median porosity.

                                8. Considering the porosity and permeability data in Table 3B:
                                   a.  Determine the best permeability-porosity correlation.
                                  b. What is the average grain diameter of each sample?
                                   c. Calculate RQI and plot against porosity.
                                  d. Determine the number of flow units and corresponding FZI.
                                9. The log surveys in a well indicated irreducible water saturation of
                                   18% and an average porosity of 15%. Core analysis as well as well-test
                                  analysis indicated a reservoir rock permeability of  16 mD. Estimate
                                  the bound water irreducible and free fluid index for this formation.
                               10. Estimate  the  permeability  (mD)  of  a  reservoir  rock  which  has
                                  a  porosity  of  13% and  an  irreducible  water  saturation  of  20%.
                                  Assuming this permeability is representative of the flow unit:


                                  a.  Calculate the reservoir quality index RQI (pm).
                                  b.  Calculate the flow zone indicator FZI.
                                  c.  Calculate the Tiab flow unit characterization factor HT.

                               11. An NMR log was run in a well, indicating a porosity of  13% and log
                                  mean of  relaxation time 2.5 ps at the depth of  7,500. Estimate the
                                  permeability at this depth for this well, using SDR correlations.
                               12. Core analysis in a new well in a formation with similar petrophysical
                                  characteristics to the TAGI formation revealed a horizontal permeab-
                                  ility of 15 mD.


                                  A.  Assuming that the formation has equal contents of Kaolinite and
                                     Illite, estimate the vertical permeability and anisotropy ratio for
                                     this well, using the models developed for the TAGI formation, for
                                     the following cases:


                                     a.  Only horizontal permeability is known.
                                     b.  Only horizontal permeability and porosity data are available
                                        (porosity  = 13%).
                                     c. Horizontal permeability, porosity, and average grain diameter
                                        data are available (grain diameter  = 0.025 mm).

                                   B.  Rework the example, assuming that this formation contains a high
                                     percentage of  Illite clay.
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