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76                Well Logging and Formation Evaluation

             It is found that changing the value of one parameter can have a drastic
             effect on the resulting volume fraction of that mineral.
          4. Porosities derived by the program will typically come about from a
             combination of the density, neutron, and sonic responses, plus what-
             ever assumption is made about the relative saturations in the invaded
             zone as opposed to the virgin zone. I am dubious about how correct
             such a porosity really is.
          5. Unlike with a deterministic approach, where the resulting uncertainty
             in porosity and saturation may be directly traced to uncertainty in
             the input parameters, statistical programs represent a “black box”
             approach, in which there is no clear audit trail between the input and
             the output.
          6. The programs are very sensitive to log quality and noise on the log
             traces. Where even one log is reading wrong, the volume fractions will
             be affected and the output may be completely unreliable.

            Overall, my impression is that there are some cases in which statistical
          models offer real advantages over conventional interpretations. A good
          example is in a sandstone reservoir having variable amounts of siderite or
          pyrite. The program is also useful in a normal sandstone reservoir where
          there are limestone stringers intermittently present. In situations where
          the mineralogy is not well known or the logs are of poor quality, I am
          extremely dubious about the quantitative correctness of the output. Even
          when neither of these situations arises, it is still my experience that it
          is necessary to make dozens of runs, investigating the effects of minor
          changes to the input parameters, before a solution can be produced in
          which one can have any confidence.
            All the main logging contractors are able to offer software for statistical
          analyses, which can be run either by the contractor or in-house by the oil
          company. The values for typical parameters for various minerals are usually
          built into the software as default values, so will not be repeated here.

              5.4 NUCLEAR MAGNETIC RESONANCE LOGGING


            When first introduced in the late 1980s, NMR logging attracted a lot of
          interest because it was a whole new type of measurement and offered the
          possibility of direct measurement of porosity and the differentiation of
          fluid types and the relative contributions arising from clay-bound water
          from free water. In this respect it offered to solve one of the problems
          occasionally confronting petrophysicists, namely, low-resistivity pay.
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