Page 158 - Introduction to Petroleum Engineering
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ROTARY DRILLING RIGS                                            145


              example 8.2  Torsion in a Drill String
              Torsion in a drill string is caused by a twisting moment (aka rotary torque T).
              Calculate the angle of twist (in degrees) for a 9.144 m length of pipe subjected
                                    ⋅
              to a rotary torque = 5400 Nm. The shear modulus of elasticity is 75 GPa, and
                                                          −
                                                       ×
                                                           5
                                                             4
                                                     .
              the polar moment of inertia of the drill string is 10 10 m .
              Answer
                                          ⋅ (9 144m
                             TL     5400Nm    .     )             360 °
              Angle of twist φ =  =                    = 0 0658 rad.  ×  = 377 °
                                                                         .
                                                                    π
                                                 −5
                             GJ   75 ×10 Pa (10.  ×10 m 4 )        2π
                                       9
              Rotary bits are either roller‐cone (tricone) bits or drag bits. Materials used for
            cutting surfaces of bits depend on what type of formation the drill bit will encounter.
            Roller‐cone bits can have steel teeth or tungsten carbide buttons as shown in
            Figure 8.7. Steel teeth are sufficient for softer formations, while tungsten carbide
            buttons are used for harder formations. Diamond is used in two different forms for
            drill bits: whole diamond and fused diamond grit, also known as polycrystalline dia-
            mond compact (PDC). PDC bits have PDC discs bonded to tungsten carbide posts
            mounted on the surface of a bit. PDC bits are good for drilling hard formations.
            Diamond‐impregnated  bits  have  whole  diamonds  bonded  to  the  surface  of  a  bit.
            These bits can be used for the hardest formations.
              In addition to cutting surfaces, bits must have nozzles for scouring cuttings from
            the rock surface. The nozzles allow drilling fluids to pass through the drill string and
            drill bit into the wellbore. Roller‐cone bits also have bearings. Bits operate in harsh
            and abrasive conditions that produce significant wear to cutting surfaces, nozzles,
            and bearings, eventually  ending in bit failure as indicated by declining rate  of




                          Pin
                       connection



                         Mud
                        nozzle or
                          jet
                                                              Leg



                                                               Cone
                                                               with
                                                              buttons


                             FIGuRe 8.7  Roller‐cone or tricone drill bit.
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