Page 81 - 6685
P. 81

Bottom hole pressure of injection well is determined by
          the formula
                    Р bh inj= wgH+ P inj -Р los pr ,                                          (4.8)
                                                                        2
                                                        3
          where  w – density of water ( w = 1000 kg/m ); g= 9.81 m/s  -
          acceleration  of  gravity;  H  –  depth  of  injection  well,  m;  P inj    -
          injection  pressure,  Pa;  Р los  pr      -  pressure  loss  due  to  friction,
          which are determined by the Darcy-Weisbach equation, Pa.
                   Darcy-Weisbach equation has the form
                           H   2
                    P          ,                                                      (4.9)
                     los
                            d 2    w
          where λ - coefficient of hydraulic resistance that depends on the
          Reynolds number and the roughness of the pipe, =f(Re, ); d -
          the  inner  diameter  of  the  pipe  on  which  is  pumping  water;  υ  -
          velocity of injected water.
                   The first, determine the velocity of movement
                      Q
                      ,
                      F
                                               2
          where F - sectional area of the pipe, m .
                    Reynolds number is determined
                       d
                    Re    ,
                        
          where ν - kinematic viscosity of water.
                     If Re Re cr    (Re cr =2320),  then the mode of movement is
                                                             64
          laminar and λ determined by the Stokes formula      .
                                                             Re
                     If Re > Re cr    (Re cr =2320),  then the mode of movement
          is turbulent and λ determined by the Blaziuses formula
                        , 0  3164
                            .
                        Re  , 0  25
                     Substituting equations (4.6) and (4.7) in (4.5), we obtain
          an expression for the number of injection wells








                                         81
   76   77   78   79   80   81   82   83   84   85   86