Page 170 - Reservoir Formation Damage
P. 170

152    Reservoir Formation Damage

                                           MAXIMUM PARTICLE
                                     CONCENTRATION -  VOLUME/VOLUME
                                    0.08  0.15  0.21  0.27  0.31  0.58
                             10
                                     •  TAP WATER
                                     •  100 cp HYDROXYETHYL
                                       CELLULOSE SOLUTION






                                              BRIDGING REGION




                                    2     4    6    8    10      30
                                     MAXIMUM GRAVEL CONTENT -  LB/GAL
                Figure  8-5.  Chart  for  determination  of  the  particle  bridging  conditions  for
                perforations  (Gruesbeck  and  Collins, ©1982 SPE; reprinted  by permission of
                the  Society  of  Petroleum  Engineers).



                                                                           (8-22)


                and  the  second  is  the  particle  Reynolds number given  by:

                                                                           (8-23)


                   The  relationship between  (3 cr  and  Re p  can  be  developed  using experi-
                mental  data.  Inferred  by  the  Gruesbeck  and  Collins  (1982)  data  for
                perforation  plugging,  and  by  Rushton  (1985)  and  Civan  (1990,  1996),
                such a relationship  is expected  to obey  the following  types  of  expressions:


                                                                           (8-24)

                or


                                                                           (8-25)

                where A,  B,  and  C  are  some  empirical  parameters.  Figure  8-6  shows a
                plot  of  Eq.  8-24.
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