Page 196 - Introduction to Petroleum Engineering
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ACTIVITIES                                                      183
            9.3  Suppose  a  density  log  is  making  measurements  in  a  formation  where  the
                density of sandstone is 2.70 g/cc and the fluid density of brine is 1.03 g/cc.
                Use  Equation 9.1 to plot porosity versus bulk density for the density log.
                Assume bulk density ranges from 2 to 2.70 g/cc.
            9.4  Suppose an acoustic log is making measurements in a water‐saturated
                limestone  formation.  The limestone matrix has a transit time per foot of
                              −
                44µs/ft =  4410 s/ft corresponding to an acoustic velocity of 23 000 ft/s.
                          ×
                              6
                                                          −
                                                       ×
                                                           6
                The brine transit time per foot is 189µs/ft = 189 10 s/ft corresponding to an
                acoustic velocity of 5300 ft/s. Use Equation 9.5 to plot porosity versus log
                transit time for the acoustic log. Assume log transit time per foot ranges from
                40 to 100 µs/ft.
            9.5  Fill in the following table using Equation 9.11 to calculate formation resistivity
                factor F for a resistivity log.
                                          Sand               Carbonate
                        a            0.81      0.81        1         1
                        m            2         2           2         2
                        Porosity     0.1       0.2         0.1       0.2
                        F


            9.6  a.   Fluid density for a volume with gas and water phases can be estimated
                    using ρ = S g  ×  ρ + S w ×  ρ  where ρ , ρ  refer to gas density and water
                           f
                                          w
                                                  g
                                                     w
                                  g
                    density,  S ,  S  refer to gas saturation and water saturation, and
                             g
                                w
                    S +  S = 1. Estimate fluid density when gas density is 0.00086 g/cc,
                     g
                         w
                    water density is 1.03 g/cc, and water saturation is 30%. Hint: Convert
                    water saturation to a fraction and calculate gas saturation from
                    S +  S = 1.
                     g
                         w
                b.   Suppose bulk density ρ  is 2.20 g/cc from a density log, and density of
                                        b
                    rock matrix  ρ  is 2.62 g/cc. Use the fluid density  ρ  from Part A and
                                                                f
                                ma
                    Equation 9.1 to estimate porosity.
            9.7  Estimate the regional dip using the well logs in Figure 9.9. Hint: Fill in the
                table in the following. Use the RC trace to identify the top of the producing
                formation and then estimate the dip angle using tangent (dip angle) = (difference
                in depth between top of producing formation in Wells 7 and 9) divided by
                (distance between Wells 7 and 9).
                    Well Number        RC‐Top (ft)       Distance from Well 7 (ft)
                    7                                              0
                    3                                            800
                    9                                           1400
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