Page 271 - Reservoir Formation Damage
P. 271

Two-Phase Formation Damage by Fines Migration  251

              Porosity  and  Permeability   Variation

                The  porosity  is  expressed  by  (Liu and  Civan,  1996):


                                                                        (11-51)
                                 *JSj
                        J  S  j
             and  the  permeability  is  estimated  by  (Liu and  Civan, 1996)


                                                                        (11-52)


                     Filter  Cake  Formation   on  the  Injection  Face

                When  the  suspended  particles  existing  in  the  injected  fluid  are  large
             enough they  cannot invade  the  formation or  when  a  sufficient  amount of
             fine  particles  are  deposited  in  the  porous  formation  to  prevent  particle
             invasion,  a  filter  cake  formation  begins  over  the  injection face.  Liu  and
             Civan  (1995,  1996) applied  a  rate  equation  for  the  filter  cake  buildup
             similar  to  (Peng  and  Peden,  1992):


                         d±
                                                                        (11-53)
                          dt

                   Model   Assisted  Analysis  of  Experimental   Data*
                In  this  section,  the  application of  the  model  to  the  analysis of formation
             damage  in  a  variety  of  core  tests  is  demonstrated.  The  model  was  vali-
             dated  and  model  parameters  were  determined  using the  data  of core  tests.


             Damage    by  Formation    Fines  Migration
                Sarkar  and  Sharma  (1990)  examined  fines migration  in two Berea core
             samples, one  of them containing residual  oil  (ROS). Data for the  two  core
             tests  are given  in Table  11-1.  The core  samples  were  first  saturated  with
             3%  NaCl  brine.  Formation  damage  due to  fines  migration  took  place upon
             fresh  water  injection.  Values  of  some  model  parameters  were  gathered
             from  Khilar  and  Fogler  (1983)  while the  others  were  obtained  by matching
             the  model  responses  to  the  measured  data,  as  summarized  in  Table  11-2.


               Reproduced  by  permission  from  Liu  and  Civan,  ©1996  SPE; reprinted  by  permission
               of  the  Society of  Petroleum Engineers.
   266   267   268   269   270   271   272   273   274   275   276