Page 98 - 6685
P. 98

Since, the auxiliary function F 1(æ) for the water-saturated
          part of the reservoir will be equal to zero, so when using graphs to
          assess the oil extraction and water content in the well production,
          we  pre-determine the value:

                                                 V
                                      F 
                               1t           i  ,                        (5.11)
                                           
                                    w
                                   b
                   i
                              r
                               o
                                        1
                                               Q i (t )
          where:  (1-ρ r  o–ρ b  w)  –  amount  of  water  that  entered  to  the
          formation;  F 1( ) ∞  –  value  of  function  F 1( ),  when  æ   ;
          V i  –    the  volume  of  pore  space,  which  is  located  between  the
          sections of i-row and i-1-row; Q i(t) – the total amount of water that
          entered  the  formation  from  the  start  of  development  and  till  the
          time t.
                  Using equation (5.11), we will determine the next value:
                                          F 
                     Q ( t)   1         
                     i         r o   b w  1        t .                   (5.12)
                      V i                           i
                  Then we define left part of equation as τ:
                   Q ( t)    ,                                                                   (5.13)
                    i
                    V i
          which in turn means the multiplicity of washing, in other words he
          ratio of the pumped volume of water to the pore volume.
                  While taking into account the multiplicity of washing and
          dependence (5.12), the graphic dependencies of n w(æ), η(æ)  now
          are rebuilt depending on τ. The plots of n w(τ), η(τ) shown on Fig.
          5.6.
                  By calculated values of τ and using graphic dependencies,
          we can write the equation of disconnection of series of wells:
                  Q i(t) + Q i+1(t)+ Q i+2(t) = Q' i(t) + Q' i+1(t)+ Q' i+2(t),    (5.14)
          where the left side – oil flow rates of well rows in the end of i-
          stage, the wright side – oil flow rates of well rows at the beginning
          of i+1 stage.







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