Page 330 - Air and Gas Drilling Manual
P. 330

2
                                                                    2
                                                                   
                                                                              2 019)
                                                                              (.
                                                  0 017
                                                   .
                                                               53 36.
                                     b
                                                                   
                                     ac
                                                                          [
                                                                                           ]
                                                                         2
                                                                       π
                                                                       
                                                   .
                                              .
                                            (
                                                       − 0 375.
                                                               10.
                                                             )
                                          2 32 2) (
                                                                                           2
                                                                                2
                                                                                          2
                                                                                  − 0 375)
                                                                                    (.
                                                                           (.
                                                                            0 656)
                                                                       
                                                                       4
                                      b ac =  = 209 1  0 656 Chapter 8: Air, Gas, and Unstable Foam Drilling    8-13
                                              .
                                   Equation 6-57 is used to obtain the pressure at the bottom of sequential sections
                               of  a  borehole  that  has  a  different  geometric  configuration  and/or  friction  loss
                               characteristics.   Thus,  for this  illustrative  example,  Equation  6-57  can  be  used  to
                               find the pressure in the annulus at the bottom  of the cased section of this  borehole.
                               This pressure is
                                                                2  (. 0 028 ) ( ,000  )    . 05
                                                                       10
                                          [
                                         
                                                                                          
                                                                                 . (552
                                                      . (552
                                    P  =  ( , 2 116 ) 2  + 209 1  .00 ) 2 ]  e  552 .00  − 209 1  .00 ) 2 
                                     ac
                                                                                         
                                         
                                                                                          
                                                    2
                                             ,
                                      P ac  = 8 309 lb/ft abs
                                            P ac
                                      p   =
                                       ac
                                            144
                                              .
                                      p ac  = 57 7 psia
                                   The  bottom  one-third  of  the  borehole  depth  is  an  openhole.    Thus,  the
                               temperature at a depth of 10,000 ft must be determined.  This temperature is
                                      T bh  =  T + 0 01 10 000.  ( ,  )
                                             r
                                                 o
                                              .
                                      T bh  = 618 67 R
                               The average temperature of this openhole section of the borehole is
                                             T +  T
                                      T avo  =  c  bh
                                                2
                                                 o
                                      T avo  = 602 01 R
                                               .
                                   The bottom  one third of this  example  borehole  is  an  openhole  section.    The
                               openhole annulus wall absolute surface roughness for  the  sandstone  and  limestone
                               sequence, e oh, can be assumed to  be similar to  the  inside  surface  of  a  commercial
                               concrete pipe.    Similar  correlations can be made  for  openhole  borehole  walls  in  a
                               variety of rock types and rock physical characteristics.  Rock types can be igneous,
                               sedimentary,  and  metamorphic.    The  rock  physical  characteristics  vary  between
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