Page 347 - Reservoir Formation Damage
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Inorganic Scaling and Geochemical Formation Damage  327

             the  addition  of incompatible  fluids  during  drilling,  workover  and  improved
             recovery  processes  and  liberation  of  light  gases,  such  as  CH 4,  CO 2,  H 2S,
             and NH 3,  during pressure-drawdown. Changes in temperature  and  pressure
             often  cause  the  variation  of the pH  of  the  reservoir  aqueous phase, which
             in  turn  induces  adverse  processes  such  as  the  precipitation  of  iron  and
             silica  gels  (Kharaka  et  al.,  1988;  Rege  and  Fogler,  1989;  Labrid  and Bazin,
             1993).  Geochemical  reactions  can  also  be classified  as homogeneous  and
             heterogeneous  depending  on  whether  the  reaction  occurs  inside  a  phase
             or  with  another  phase,  respectively.  Geochemical  reactions  can  also  be
             classified  as reversible  and  irreversible.  As  explained  by  Lichtner  (1985),
             the  rates  of  reversible  reactions  are  independent  of  the  surface  area.
             Reversible  reactions  can  attain  local  equilibrium  over  a  sufficiently  long
             period  of  time,  at  which  time,  the  reaction  rates  terms  vanish  in  the
             transport equations. However, Lichtner  (1985)  adds that irreversible  reactions
             require  kinetic  or  rate  expressions,  in  terms  of  the  pertinent  driving forces,
             that  is  chemical  affinity,  and/or  the  surface  available  for  reactions.
                Detailed  geochemical description  is  a very  cumbersome  task  and  often
             unnecessary  and  unjustified  in  view  of  the  lack  of  the  basic  thermo-
             dynamic  and  kinetic  data  required  for  description.  Rather,  geochemical
             models are constructed  to emphasize  the chemical reactions of the  important
             aqueous  species  and minerals, which are essential  for  adequate  description
             of  the rock-water  interactions,  and neglect  all other  reactions.  This  is done
             to  compromise  between  the  quality  of description  and  the  effort  necessary
             to  gather  basic  thermodynamic  and  kinetic  data  and  to  carry  out  the
             numerical  computations.
                Among  the various  alternatives,  the  kinetic  and equilibrium  models  are
             extensively  utilized.  The  kinetic  models  describe  the  rate  of  change  of
             the  amount  of  mineral  and  aqueous  species  in  porous  media  in  terms of
             the  relevant  driving  forces  and  factors,  such  as  deviation  from  equili-
             brium  concentration  and  mineral-aqueous  solution  contact  surface.  The
             proportionality  constant  is called the rate  constant. The equations  formed
             in  this way  are  called  the rate  laws or kinetic  equations.  The  equilibrium
             models  assume  geochemical  equilibrium  between  the  pore  water  and the
             minerals  of  porous  formation.  Since  equilibrium  can  be  reached  over  a
             sufficiently  long  time,  equilibrium  models  represent  the  closed  systems
             at  steady-state  conditions.  Mathematically,  the equilibrium  models  can  be
             derived  from  kinetic  models  in  the  limit  of  infinitely  large  rate  constants.
             Hence,  rapid  reactions  reach  equilibrium faster. Therefore,  the  equilibrium
             models represent the limiting  conditions and yield  conservative predictions
             (Schneider,  1997).  Equilibrium  models  are  particularly  advantageous  for
             determining  the  mineral  stability  and  graphical  representations  of  the
             mineral  and  aqueous  species  interactions  (Bj0rkum  and  Gjelsvik,  1988;
             Stumm  and  Morgan,  1996;  Schneider,  1997).
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