Page 132 - Petrophysics 2E
P. 132

PERMEABILITY-POROSITY RELATIONSHIPS              105



                           (d) Fracturing and  solution:  In sandstone rocks,  fracturing is not an
                         important cause of the secondary permeability, except where sandstones
                         are interbedded with shales, limestones, and dolomites. In carbonates,
                         the  solution of  minerals by percolating surface and subsurface acidic
                         waters as they pass along the primary pores,  fissures, fractures, and
                         bedding planes, increase the permeability of the reservoir rock.  As shown
                         by Chilingarian et al. [7], horizontal and vertical permeabilities are equal
                         in many carbonate reservoirs.




                  PERM EABI LITY-POROSITY RELATIONSHIPS


                           Figure 3.10 shows a plot of permeability versus porosity data obtained
                        from a large number of samples of a sandstone formation. Even though
                        this formation is generally considered very uniform and homogeneous,
                        there is not a specifically defined trendline between permeability and
                        porosity values.  In  this  case,  the  relationship between  permeability
                        and porosity is qualitative and is not directly or indirectly quantitative
                        in any way.  It is possible to have very high porosity without having
                         any  permeability  at  all,  as  in  the  case  of  pumice  stone (where  the
                         effective porosity is  nearly  zero),  clays,  and  shales.  The  reverse  of
                        high  permeability  with  a  low  porosity  might  also  be  true,  such  as
                        in  micro-fractured carbonates.  In  spite  of  this  fundamental lack  of
                        correspondence between these two properties, there often can be found
                        a very useful correlation between them within one formation, as shown
                        in Figure 3.11.



                                 10000
                                                     I              I







                                ? I               o                 o                o                 ~
                                9





                                    10
                                      0.1           0.2            0.3            0.4
                                                      Porosity, Fraction
                                       Figure 3.10. PmeabiZity-porosity rehtiombip.
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