Page 332 - Air and Gas Drilling Manual
P. 332

Chapter 8: Air, Gas, and Unstable Foam Drilling    8-15
                                                               π
                                                π
                                                
                                                     2
                                                                   2
                                                            e
                                            eDH
                                                
                                                               
                                                     h
                                             oh
                                                                   p
                                                            p
                                                 4
                                                               4
                                          =
                                      e
                                                            π
                                                π
                                       avo
                                                
                                                     2
                                                               DH
                                                  DH o o  + +      2 p  DH o
                                                            
                                                                    o
                                                    h
                                                            4
                                                4
                               The term H o cancels and the above reduces to
                                                π
                                                            π
                                                          
                                            e      D 2  +  e   D 2
                                             oh     h   p     p
                                                            4
                                                 4
                                      e   =                                             (8-2)
                                                          π
                                                π
                                       avo
                                                   2  +     2
                                                  D h     D p
                                                          4
                                                 4
                               Thus, e avo, is
                                                  π
                                                                        π
                                                         2                  2
                                               1
                                                      0
                                             00
                                                                           0
                                            (. )     (.656 )  + (.0 00015 )     (.375 )
                                      e   =        4                    4
                                                                 π
                                                    π
                                       avo                2           2
                                                      (. 0 656 )  +     (. 0 375 )
                                                                 4
                                                    4
                                      e avo  = 0 0076 ft
                                             .
                               Equation 6-58 becomes
                                                                     2
                                                                    
                                      f   =            1            
                                       ao         0 656  − 0 375   
                                                    .
                                                           .
                                            2 log            +114 
                                                                   .
                                                   0 0076         
                                                       .
                                             .
                                      f ao  = 0 055
                               With the above values Equations 6-52 and 6-53 become, respectively,
                                      a ao  =   10.     1  +   0 950.    
                                             53 36.       2 019.   
                                             .
                                      a ao  = 0 028
                               and
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