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Single-Phase  Formation Damage by Fines Migration and Clay Swelling  221



                                                                       (10-173)
                           i=2

                Eqs.  10-170 and  173 were  applied  at different  times  and the  data were
              plotted  in  Figure  10-16.  As  shown  in  Figure  10-16,  virtually  the  same
              results  were  obtained  for  different  injection  velocities  of  u = 0.5  and
              1.0 cm/s.
                The  E  and  G  parameter  values  were  determined  as  a  function  of  the
              length  of  porous  media by  nonlinear regression  of  Eq.  10-92 to  the  data
              given  in Figure  10-16.  Plot  of E  and  G vs.  the length are  given  in  Figure
              10-17.  Exponential  regressions  of  these  data  indicate  that  E  = 0.14 and
              G  =  5.3  as  the  length  approaches  zero,  although  the  data  are  of  low

                         0.2

                               •  J **n\  ne    ,
                                      \ u" 0.5 cm/s
                              +  J
                                     }  u=*1,0  cm/s
                              V  J
                               o  J
                                  878  kg/irf




                         0.1




















              Figure  10-16.  Correlation of  the  deposit  fraction  and  permeability  for  material
                                                                 3
              POP  1,  using  a 5  mm thick  porous  material  and  c 0 = 0.1  kg/m  (Cerhansky, A.,
              &  Siroky,  R.,  1985; reprinted by permission of the AlChE, ©1985 AlChE, all  rights
              reserved,  and  after  Cerhansky  and  Siroky,  1982, reprinted by  permission).
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