Page 34 - Air and gas Drilling Field Guide 3rd Edition
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2.3 Comparison of Mud and Air Drilling    25




                                P , γ , T e  P , γ , T i
                                 e
                                    e
                                               i
                                             i
                                                       i − injection
                                                       a − above bit
                                                       b − below bit
                                                       c − collar annulus
                                                       p − pipe annulus
                           P , γ p , T p
                            p
                                                       e − exit
                                                                   10,000’
                                                                   (3048m)





                                                               500’
                            P , γ , T c                       (152m)
                               c
                             c
                                                P , γ , T a
                                                    a
                                                 a
                                                P , γ , T b
                                                    b
                                                 b
                                               7 /8” (200.1 mm)
                                                7
              FIGURE 2-15. Comparison example well and drill string.


              The well is cased from the surface to 7000 ft (2133 m) with API 8 5/8-in
              (219 mm) diameter, 32.00 lb/ft (14.60 kg/m) nominal casing. The well has been
              drilled out of the casing shoe with a 7 7/8-in (200 mm)-diameter drill bit. The
              comparison is made for drilling at 10,000 ft (3048 m). The drill string in
              the example well is made up of (bottom to top) a 7 7/8-in (200 mm)-diameter
              drill bit,  500 ft (152 m) of 6 1/4-in (159 mm) outside diameter by 2 13/16-in
              (71 mm) inside diameter drill collars, and  9500 ft (2895 m) of API 4 1/2-in
              (114 mm) diameter, 16.60-lb/ft (7.52 kg/m) nominal, IEU-S135, NC 46, drill pipe.
                 The mud drilling hydraulics calculations are carried out assuming that the dril-
                                                                                3
              ling mud weight (i.e., specific weight) is 10 lb/gal (density of 1201 kg/m or
                                                          2
                                                                      2
              1.2 kg/liter), the Bingham mud yield is 10 lb/100 ft (48 N/10 m ), and the plas-
              tic viscosity is 30 centipose. The drill bit is assumed to have three 12/32-in (9.5
              mm)-diameter nozzles with a drilling mud circulation flow rate of 200 gal/min
              (757 liters/min). Figure 2-16 shows plots of the pressures in the incompressible
              drilling mud as a function of depth and shows a plot of the pressures inside the
                                                                            2
              drill string. The injection pressure is approximately 1072 psig (739 N/cm gauge)
                                     2
              and 5877 psig (4049 N/cm gauge) at the bottom of the inside of the drill string
              just above the bit nozzles. Also shown is a plot of the pressure in the annulus. The
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