Page 208 - Geology of Carbonate Reservoirs
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FRACTURE PERMEABILITY, POROSITY, AND S W   189

                                                    60 acres
                                    40 acres                                160 acres
                      2.5
                    Fracture Porosity %  1.5                                 320 acres
                      2.0


                      1.0
                                                                              640 acres
                      0.5
                      0
                       0   200  400  600  400  1000  1200  1400  1600  1800  2000  2200  2400  2600  2800  3000
                                Fracture Volume in Thousands of Reservoir Barrels

                    Figure 7.8   Diagram illustrating the relationship between fracture porosity, fracture volume,


               and reservoir drainage area. Intuitively, smaller drainage areas have smaller fracture volume.
                 (Adapted from an illustration in Nelson  (2001) .)

               or two contribute to reservoir performance. Such situations exist when several frac-
               ture sets are present but only the ones oriented in the direction of in situ principal
               stress are open to fl ow.
                   Determination of fracture porosity in subsurface reservoirs is diffi cult. Nelson
                 (2001)  notes that if certain conditions are met and fracture permeability values have
               been determined from reservoir flow tests, then fracture porosity can be calculated

               from the empirical relationship between fracture permeability and porosity. The
               conditions that must be met are: (1) a flow test permeability calculation must be

               made from a zone in which a core has been pulled; (2) core analysis must show that
               matrix porosity and permeability contributed negligible flow to the flow test; and


               (3) a good estimate of fracture spacing must be obtainable from core examination.
               It must be recognized that fracture porosity is more compressible than matrix poros-
               ity, especially in brittle rocks; therefore fracture porosity and permeability are more
               susceptible to reduction due to confining pressure than are matrix porosity and

               permeability.
                    Fracture porosity is generally only a small percentage of total reservoir porosity,
               but because the fractures are connected, the small fracture volume can contribute
               enormously to total permeability. If fracture porosity amounts only to about 1% in
               a thick and aerially extensive reservoir, fracture volume can be very large, justifying
               well spacing of hundreds to 1000 acres, according to Nelson  (2001) . A relationship
               between fracture porosity, fracture volume, and reservoir drainage area is shown in
               Figure  7.8 .


                   7.2.3   S  w   in Fractured Reservoirs



                Determining  S   w   in fractured reservoirs using the Archie equation is complicated
               because the cementation exponent,  m , may be as low as 1.0 according to Asquith
                 (1985) , who cites an equation by Rasmus  (1983)  for calculating  m :
                                              3   2 (1  +   − )]
                                      m =  log[φ s  + φ s  − ) (φ t  φ s
                                                      φ t
                                                   logφ t
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