Page 354 - Air and Gas Drilling Manual
P. 354

Using Equation 8-2, the average absolute surface roughness of this  annulus section,
                               e av5, is
                                                                        π
                                                   π
                                                                        
                                                     Chapter 8: Air, Gas, and Unstable Foam Drilling    8-37
                                                      0 656)
                                                                0 00015)
                                             001)
                                            (.      4   (.  2  + (.    4   (.  2
                                                                           0 563)
                                      e   =
                                                    π
                                                                 π
                                       av5
                                                          2  +        2
                                                        0 656)
                                                                     0 563)
                                                     4   (.    4   (.
                                      e   =  0 0058 ft
                                             .
                                       av5
                               Equation 6-58 becomes
                                                                     2
                                                                    
                                      f a5  =     0 656 − 1  0 563   
                                             2   log   .  .   + .
                                                                  114
                                                  
                                                   0 0058         
                                                       .
                                             .
                                      f a5  =  0 079
                               With the above values Equations 6-52 and 6-53 become, respectively,
                                              10  
                                                         0 950  
                                               .
                                      a a5  =    53 36     1 +   .   
                                                         2 635 
                                               .
                                                         .
                                             .
                                      a   =  0 025
                                       a5
                               and
                                                                              2 635)
                                                   .
                                                                 .
                                     b a5  =      0 079         53 36   2  2  (.  2
                                                  0 656 −
                                                                       π
                                                          .
                                                                 .
                                            (
                                          2 32 2) ( .    0 563  )  10      [  2       2 ] 2
                                               .
                                                                            0 656)
                                                                                     0 563)
                                                                        4   (.  − (.
                                      b   =  32 210
                                              ,
                                       a5
                               Equation 6-57 becomes
                                                                2 0 025) ( 500)            05 .
                                                                   (.
                                        [
                                       
                                                                                         2 
                                                                      .
                                                                               ,
                                                                                   (
                                                           .
                                                    ,
                                                        (
                                 P   =  ( 22 870) 2  +  32 210 601 91)  2 ]  e  601 91  −  32 210 601 91 
                                           ,
                                                                                      . )
                                  a5
                                                                                          
                                       
   349   350   351   352   353   354   355   356   357   358   359