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32    Applied Petroleum Geomechanics


              Table 2.2 Bulk densities and porosities in various rock types.
                                                 3
              Rock type             Density r b (g/cm )  Porosity f (%)
              Granite               2.5e2.8              0.5e1.5
              Dolerite              3.0e3.1              0.1e0.5
              Limestone             2.5e2.8                5e20
              Dolomite              2.5e2.87               1e5
              Quartzite             2.65                 0.1e0.5
              Sandstone             2.0e2.6                5e25
              Shale                 2.0e2.7               10e30
              CoaleAnthracite       1.3e1.6
              CoaleBituminous       1.1e1.4
              Sediments             1.7e2.3
              Metamorphic rocks     2.6e3.0



                                                     3
                                     Bulk density (g/cm )
                              1.0       1.5      2.0      2.5
                             0
                            100

                          TVD ( m bml)  200

                            300


                            400

                            500

                            600
          Figure 2.1 Bulk density variations with the true vertical depth (TVD) below the sea
          floor in the Gulf of Mexico. The bml represents below the mudline or below the sea
          floor in offshore drilling.


          shallow density data, are not always available; then, Gardner’s method can
          be used to convert acoustic compressional transit time or velocity to bulk
          density (Gardner et al., 1974).

                                       r ¼ aV p b                      (2.2)
                                        b
          where V p is the velocity of the compressional wave; a and b are empirical
          constants, and the default values are a ¼ 1.74 and b ¼ 0.25 in the metric
                           3                                              3
          system (r b in g/cm and V p in km/s). In the English unit (r b in g/cm
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