Page 61 - 6685
P. 61

where a and b - approximation coefficients that are constant for a
          given oil and gas at a certain pressure.
                  There are two methods for determining coefficients a and
          b:
                  1)    dependencies on graphics;
                  2)    analytically.
                  To do this, we write the equation (6) for two values of P kі
          and P k i+1

                           
                      F    i k
                        oil
                              аР  i k   ;b
                    oil  Р  i k  b  Р  i k
                                                                               (3.38)
                       F oil   i k  1
                     Р     Рb    аР  i k  1   .b
                    oil  i k  1  i k  1
                  Solving  system  of  equations  (3.38)  determine  the
          coefficients  a  and  b.  For  this  equation  deducted  from  the  first
          second. We have
                              
                         F     i k       F oil    i k  1 
                           oil
                                     
                                    Р    Рb   
                              b
                           Р
                                Р
                  a    oil  i k   i k  oil    i k  1   i k  1  .
                                  P  i k   P   i k  1
                   From the first equation defines the coefficient b
                             
                         F 
                    b    oil  i k   aP , or
                       oil          i k
                              b
                                Р
                          Р
                             i k
                                  i k
                                          
                                      F     i k       F oil  i k  1 
                                       oil
                                                 
                          
                      F                         Р    Рb  
                                             Р
                                           b
                                       Р
               b      oil  i k     oil  i k  i k   oil  i k  1  i k  1  P .
                    oil                   P   P  i k  1         i k
                             Р
                       Р
                           b
                          i k
                               i k
                                                 i k
                  There is another oil inflow equation
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