Page 550 - Petrophysics
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PETROPHYSICAL PROPERTIES            517



                            The general form of this equation is:




                                                                                        (8.25b)



                            For a single porosity system, this equation reduces to:



                                                                                         (8.26)



                            The constant 2 in Equation 8.26 is related to the shape of the capillaries
                            and their tortuosity and can be replaced by KT:




                                                                                         (8.27)



                            where

                            KT = 6fsp~                                                   (8.28)

                            Methods for estimating the pore shape factor fsp and the tortuosity of
                            the capillaries z  are discussed in Chapter 3. In the case of  formations
                            containing a very small number of channels per unit pore volume, such
                            as in reservoirs with high storage capacity in a rock matrix, and very low
                            storage capacity in channels, nl >>  n2, Equation 8.25a can be written as:






                            where the subscript 1 stands for primary pore space, which stores most
                            of the fluid. In the case of n2 >>  nl , i.e. rocks in which the fluid is stored
                            mainly in secondary pore spaces such as fissures and  vugs, Equation 8.29a
                            becomes:






                            where  the  subscript  2  stands  for  secondary  pore  space.  Thus,  in
                            cases where nl  >>  n2 and n2  >>  nl, double porosity systems may be
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