Page 267 - Reservoir Formation Damage
P. 267

Two-Phase Formation Damage by Fines Migration  247

             The  dispersion  term  is  considered  for  dissolved  species,  such  as  those
             contained  in  the  aqueous phase,  but  it  is  usually neglected  for  the  particles.
                In  accordance  with  the  experimental  observations  by  Muecke  (1979),
             Liu  and  Civan  (1993,  1995, 1996)  have  assumed  that  wettable  particles
             remain  in  the  wetting  phase  and  nonwettable  particles  remain  in  the
             nonwetting  phase  and  the  intermediately  wet  particles  are  situated  along
             the  interface. They  did  not consider the possibility  of wettability alteration
             of  the  particles  and  the  pore  surface  in  porous  media  and  they  assumed
             that the dispersion  terms  are negligible for  the particles.  They  considered
             that  the  porous  media  has  uniform  wetting  properties.  Under  these
             circumstances, Eq.  11-31 simplifies significantly  because  q ju  = 0  and the
             particle  loss  only  occurs  from  the  fluid  phases  to  the  solid  matrix  (i.e.,
                     = f
              qj  = qjj  ijjs''  J =  W,N).
                Liu  and  Civan  (1996)  considered  a  water/oil  system  flowing  through  a
             homogeneous  (i.e.,  one  type—either  water-wet  or  oil-wet—porous  media).
             They  assumed  that  the  wettability  of  the  porous  medium  does  not  change
             during  the  short  period  of  time  involving the  typical  laboratory  core  tests.

                            Wettability  Transformation    and
                             Interface  Transfer  of  Particles

                The  literature  on  studies  of  the  mechanisms  of  wettability  alteration
             and  interface  particle  transfer  is  rather  limited  and  insufficient  to  formulate
             these  processes  accurately  and  rigorously.  Therefore,  Liu  and  Civan
             (1996)  have  resorted  to  a  simplified  approach,  which  yielded  reasonably
             good  results.  They  have  combined  the  rate  processes  of  the  wettability
             transformation  and  the  phase  to  phase  particle  transfer  into  one  step
             assuming  that  the  particles  would  immediately  migrate  into  the  phases,
             which  wet them  once their  wettabilities change from  one type to another.
             Based  on the experimental  observations  and the  studies  of the  mechanisms
             of  interface  particle  transfer  of  Ku  and  Henry  (1987),  Liu  and  Civan
             (1996)  assumed  that  the  rate  of  the  combined  processes  of  wettability
             transformation  and  interface  transfer  of  particles  can  be  expressed  as  being
             proportional  to  the  particle  concentration  according  to:

                QjlJL  -                                               (11-32)


                          Particle  Retention  in  Porous  Media

                Although  particle  retentions  may  occur  at  various  locations  in  porous
             media  by  various  mechanisms,  only  the  most  likely  mechanisms  are
             considered  here.  The  wetting  and  nonwetting  particles  preferentially
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