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P. 50

Q     e  u
                  P   Ptr,           du,
                            f
                               4 kh u 2  u
                      r
          where u        , E i - exponential function.
                    2   t 
                  After mathematical  transformations,  we obtain  the basic
          formula of elastic drive
                                Q      , 2  25 t
                  P   Ptr ,   f    4 kh  ln  r 2  ,                                    (3.27)

          where P(r, t) - pressure at a distance r in time t, Pa; P f – formation
                                                         3
          pressure,  Pa;  Q  –  performance  (or  flowrate),  m /s;  μ  –  dynamic
          viscosity  of  the  fluid,  Pa·s;  k  –  permeability  coefficient  of  the
                           2
          reservoir rock, m ; h – layer thickness, m; χ – piezoconductivity
                  2
          factor, m /s.
                  Piezoconductivity  factor  characterises  the  rate  of
          transmission  of  pressure  in  the  formation  and  determines  by  the
          formula
                        k
                          ,                                                                  (3.27)
                        *
                                   2
          it varies from 0.1 to 5.0 m /s.
                    Bottom-hole pressure is determined by the formula
                                  Q      , 2  25 t
                     ,trP   P     ln       ,                                 (3.28)
                             f
                      w
                                 4 kh    r rw 2
          where r wr – reduce radius, m. Reduce radius - is a radius, which
          should be well, so that it was perfect.
                  Formula  (3.27)  in  the  oilfield  practices  used  to  assess
          pressure  changes  over  time,  depending  on  the  selection  in  the
          initial  stage  of  development  of  oil  when  the  deposit  on  a  small
          number of wells. It is assumed that the selection is centred in the
          heart lay, and the change in pressure is determined by the distance
          from the centre.








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