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1 18   PETROPHYSICS: RESERVOIR ROCK PROPERTIES
                                                      +.








                                 8.)
                                 ‘E
                                 P n
                                 m



                                                      - 1 -
                                      *  0


                                                      Roundness
                                Figure 3.18. Roundness and sphericity of different shapes.


                      roundness 30.5. The general form of Equation 3.33 is:


                                                                                   (3.34)


                      Note that, as sphericity and roundness approach unity, Kgs approaches 6
                      (which is valid only for perfectly spherical sand grains). The petrographic
                      image analysis or PIA method may be used to characterize the porous
                      rock if well-prepared samples are available, i.e. samples with good optical
                      contrast between the pores and grains, and the thin sections are obtained
                      at overburden conditions. The specific pore surface can be determined
                      from

                            4LP
                      spv = -                                                      (3.35)
                            ZAP

                      where Lp  and Ap  are the pore perimeter and  the pore  cross-section,
                      respectively.  Using  PIA,  a  planar  pore  shape  factor  fps  can  be
                      determined as:

                             G
                      fps = -                                                      (3.36)
                           &Ap

                      The factor fps, shown in Table 3.3,  indicates what the perimeter Lp
                      would be if  the planar or  2D feature were a  circle. The range of  fps
                      is 3.75 (sphericity of  0.5 or less and roundness of  0.3 or less) to 5.84
                      (sphericity of 0.5 or less and roundness greater than 0.5). There is no
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