Page 242 - Reservoir Formation Damage
P. 242

222    Reservoir Formation Damage











                                                           BEavg
                                                           G/Gavg
                                                           Linear (E/Eavg)
                                                           Linear  (G/Gavg)


                                       0     5     10    15    20     25

                                              Length,   L  (mm)

                Figure  10-17.  Correlation  of  the  Cernansky  and  Siroky  (1985)  data  for
                variation  of  the  E  and  G  parameters  by  the  length  of  porous  media  for
                material  POP  1.  =  0.179andG avg  = 5.66.







                quality,  as  indicated  by  the  coefficients  of  regressions  R 2  =  0.78  and
                R 2  = 0.18,  respectively.
                  The  mean diameter  of particles  is  20.2jam  and the  estimated  dimension
                of  pores  50jom.  The  porosity  is  (j> 0 =0.31.  The  concentration  of  the
                                                                               3
                                                                  3
                injected  suspension is  c in =0.lkg/m 3  or  <5 in  = (0.1&g/ra )/(2,825£g/m )
                             3
                          5
                = 3.54xlO- m /m
                  To determine  the deposition and entrainment rate  constants,  in Eq.  10-91
                   -  0  was  substituted  and  the  derivative  with  respect  to  time was
                i' cr
                evaluated  numerically  using  the  central  and  backward  finite  difference
                approximations  given  below,  respectively,  for  the  interior  and  the  final
                points  (see  Chapter  16 for  derivation):

                                                                         (10-174)
                   dt      2Af,


                                                                         (10-175)
   237   238   239   240   241   242   243   244   245   246   247