Page 129 - Air and Gas Drilling Manual
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maximum pressure capability of the compressor).  The disadvantages are: 1) bulky,
                               2) high initial capital costs (relative to  the rotary compressor of similar capabilities)
                               and, 3) relatively  high  maintenance  costs  due  to  greater  number  of  moving  parts
                               (relative to most rotary compressors).  Chapter 4: Compressors    4-15
                                   The  main  advantages  of  rotary  compressors  are:  1)  initial  low  capital  cost
                               (relative to  reciprocating  compressors),  2)  less  bulky  (relative  to  the  reciprocating
                               compressors of similar capabilities) and, 3) general ease of maintenance since these
                               compressors have few moving  parts.  The main disadvantages are: 1) cannot adjust
                               to  flow  line  back  pressures  (fixed  compression  ratios),  2)  needs  frequent  specific
                               maintenance  of  rotating  wear  surfaces  to  prevent  slippage  and,  3)  most  rotary
                               compressors operate with oil lubrication in the compression chambers [1, 2, 7].
                               4.5  Compressor  Shaft  Power  Requirements
                                   The most important single factor affecting the successful outcome of air and gas
                               drilling operations is the availability of constant, reliable volumetric flow rates of air
                               or gas  to  the  well.    This  must  be  the  case  even  when  there  are  significant  (and
                               frequent)  changes  in  back  pressure  during  these  operations.    The  only  two
                               compressor  subclasses  that  can  meet  these  flexibility  requirements  are  the
                               reciprocating compressor and the rotary compressor.   In what follows,  the important
                               calculation  techniques  that  allow  for  the  proper  evaluation  and  selection  of  the
                               appropriate compressors for air and gas  drilling  operations  are  reviewed  [1,  7  and
                               10].  This  section derives the theoretical power required at the compressor shaft  to
                               compress the gas in the compressor.
                                 4.5.1 Basic Single-Stage Shaft Power Requirement
                                   Figure 4-13 shows a pressure-volume (P-v) diagram  for  a  simple  compression
                               cycle process (where P is  pressure and v is  specific volume in  any set of consistent
                               units).    In  Figure  4-13,  point  c  represents  the  final  state,  or  state  2,  of  the  gas
                               leaving the compressor.
                                   The  area  odcm  measures  the  product  P 2 v 2   which  is  the  flow-work  (ft-lb/lb)
                               required for delivery of the gas from the compressor.  Point  b represents the initial
                               state 1 of the gas and the area oabn measures the product P 1 v 1   which  is  the  flow-
                               work (ft-lb/lb) supplied in  the passage of the fluid to  the compressor.  The line bc
                               represents the state change of the gas during compression.  The area mcbn measures
                                      −  2 Pdv                                           (4-4)
                                        ∫ 1
                               or
                                      +  1  Pdv                                          (4-5)
                                             ∫ 2
                               which is  the work ideally required for effecting  the  actual  compression  within  the
                               compressor.  Thus,  aside from the work required for increasing the  kinetic  energy,
                               the  net  area  abcd  measures  the  net  shaft  work  required  for  the  induction,
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