Page 330 - Petrophysics 2E
P. 330

FORMATION EVALUATION             299



                               Interpretation of Well Log Data
                               The analysis of logs obtained from the 38 new wells required several
                             phases. First, the logs were digitized and corrections for hole size and
                             invasion were determined. Then, cross-plots were made of the corrected
                             data  from  the  three  porosity  logs  (acoustic,  density,  and  neutron),
                             and formation minerals were  identified. The log data from the three
                             porosity devices were corrected for shale (clay) volume by the following
                             expressions:



                                                                                        (4.165)


                                                                                        (4.166)


                                                                                        (4.167)


                            where:      t, Pb, Qn = acoustic, density, and neutron log readings,
                                                  respectively.
                                     tc, pk, @nc = three-device data values corrected for shale
                                                  (clays) content.
                                    Tsh, Psh, @sh  = three-device readings for 100% shale.

                               These corrected data become the input to a matrix solution for primary
                             (matrix) and secondary (fractures and vugs) porosity indices, and three
                            minerals,  as  shown  in  Table  4.22.  The  term  “trilith” describes  the
                            porosity-lithology  matrix obtained from the combination of  the three
                            porosity devices. In  less complex formations (no secondary porosity),
                             a simpler matrix called “bilith” is constructed from the combination of
                            two porosity devices only: acoustic and density. Finally, these matrices
                            were solved by a computer program called “Bitri.” Figure 4.55 shows
                            a good agreement between the profile of core-derived porosity and the
                            Bitri-computed porosity. In addition to porosity, the program computed
                            permeability from  Equation 4.159, irreducible water  saturation from
                            Equation 4.163, and water saturation from Equation 4.54 for m = 2.1
                            and n = 2.20:


                                                                                        (4.168)


                            where  Rt  is  the  true  resistivity  from  a  deep-reading resistivity  log,
                            corrected  for  borehole  and  invasion  effects,  and  @  is  the  porosity
                            obtained from Bitri. Figure 4.56 shows a comparison of the core-derived
   325   326   327   328   329   330   331   332   333   334   335