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68                                        PROPERTIES OF RESERVOIR ROCK


                                    Area




                                                                           H
                               Pore


                               Grain



                Berea sandstone
              microscope zoom 25×

                                 FIguRE 4.1  Porous medium.


           of  sandstone. Some rocks have pore spaces that are not connected. Our interest
           here  is confined to connected pores that contribute to commercial storage and
           flow capacity.
              Bulk volume is the volume of the block shown in Figure 4.1. It includes both grain
           volume and the volume of space between grains in the block. The bulk volume V  of
                                                                           B
           the block is the product of area A in the horizontal plane and gross thickness H:
                                         V =  AH                           (4.1)
                                          B
              The volume of space between grains is called pore volume. Porosity ϕ is the ratio
           of pore volume V  to bulk volume V :
                         p              B
                                             V
                                          φ =  p                           (4.2)
                                             V B
           Typically, 30–40% of the bulk volume of sand is open volume. Porosities of commer-
           cially viable reservoir systems range from a few percent for shales and coals to about
           50% for diatomaceous formations in California. The porosities of most conventional
           oil and gas formations range from 15 to 25%. Porosities for a variety of media are
           listed in Table 4.1.
              Consider another example. A beaker contains 500 ml of marbles. In terms of bulk
           volume, the marbles occupy a bulk volume of 500 ml. How much water must be
           added to bring the water level to the top of the marbles? If 200 ml must be added,
           then the pore volume is 200 ml and the porosity is 40%. What is the actual volume
           of the marbles? That volume, typically referred to as grain volume for rocks, would
           be 300 ml. In summary, bulk volume V  is the sum of grain volume V  and pore
                                                                      G
                                            B
           volume V :
                   p
                                        V = V + V p                        (4.3)
                                         B
                                             G
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