Page 324 - Air and Gas Drilling Manual
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Chapter 8: Air, Gas, and Unstable Foam Drilling    8-7
                               assuming a minimum bottomhole kinetic energy per unit volume of no less than 3.0
                                    3
                               ft-lb/ft .  Also, it is assumed that the drilling is in sedimentary rock formations with
                               an average specific gravity of 2.7.  These deep boreholes figures are developed for a
                               uniform borehole diameter with the top two thirds of the depth assumed to  be cased
                               and the bottom  one third  assumed  to  be  openhole.    The  basic  equations  used  to
                               determine the minimum volumetric flow rate are derived in Chapter 6.
                                   Illustrative  Examples  8.1  and  8.2  describe  the  implementation  of  the  basic
                               planning steps Nos. 1 through 7 given in Section 8.1.
                                   Illustrative Example 8.1  The borehole to  be used in  this  illustrative example
                               will be used as a basic example in this chapter and in Chapters 9 and 10.   The 7  7/8
                               inch diameter borehole is to be drilled out of the bottom of API 8 5/8 inch diameter,
                               28.00  lb/ft  nominal,  Grade H-40,  casing  set  to  7,000  ft  (see  Figure  8-4  for  well
                               casing and openhole geometric configuration).  The inside diameter of this  casing is
                               8.017  inches.  The openhole interval below the  casing  shoe  is  to  be  drilled  from
                               7,000 ft to 10,000 ft.  The drill string is made up of 500 ft of 6 3/4 inch by 2  13/16
                               inch drill  collars above the drill  bit  and API 4  1/2 inch,  16.60  lb/ft  nominal,  EU-
                               S135, NC50 (IF) to the surface.  The drilling is to be carried out at a surface location
                               at sea level (assume API Mechanical Standards standard atmospheric conditions,  see
                               Chapter  4).    The  regional  geothermal  gradient  is  approximately  0.01˚F/ft.    The
                               anticipated  drilling  rate  of  penetrations  in  a  sandstone  and  limestone  sequence
                               (sedimentary  rock)  is  approximately  60  ft/hr.    The  blooey  line  for  this  drilling
                               operation is a single horizontal section of casing that runs 200 ft from just  above the
                               BOP stack to the burn pit.  The casing used for the blooey line is  API 8  5/8 inch,
                               24.00 lb/ft nominal, Grade J-55, casing.  The inside diameter of this casing is  8.097
                               inches,  Two gate valves are in the blooey line at the end of the line that is  attached
                               to the BOP stack.  These valves have an inside diameter of 7  9/16 inch.   This  is  a
                               typical borehole geometric configuration for an oil or natural gas recovery well.  This
                               illustrative  example  will  demonstrate  how  the  approximate  minimum  volumetric
                               flow rate is determined.
                                   The  approximate  minimum  volumetric  flow  rate  will  be  determined  for  the
                               deepest depth in  the interval to  be drilled.    This  is  10,000  ft.    This  will  give  the
                               largest minimum  volumetric  flow  rate  for  the  well.    Although  the  details  of  the
                               borehole  and  drill  string  geometric  configuration  are  important  for  determining
                               accurate pressures in the annulus and inside the drill  string (particularly, bottomhole
                               and  injection  pressures),  these  details  are  not  as  important  in  obtaining  the
                               approximate minimum volumetric flow rate.
                                   For this example, this slightly larger inside diameter will  be ignored relative to
                               the openhole 7.875  inch borehole.   Thus,  the entire length of the borehole will  be
                               assumed to  have a  uniform  inside  diameter  of  7.875  inch.    Instead  of  the  actual
                               depth to the bottom of the casing for this  particular example, a depth of two thirds
                               of the total depth will be used for the cased section of the well (~6,667 ft).  Further,
                               for this  calculation the major and minor friction losses in  the  blooey  line  will  be
                               ignored (ignoring the Tee at the top of the annulus and the blooey line length).  The
                               drill pipe outside diameter changes at the tool  joints  will  be ignored and the 500 ft
                               of drill  collar outside diameter change will  ignored.  Therefore,  the  outside  of  the
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