Page 211 - Origin and Prediction of Abnormal Formation Pressures
P. 211

186                               E  AMINZADEH, G.V. CHILINGAR AND J.O. ROBERTSON JR.

            is  4.0  ppg  higher  than  the  pore  pressure  at  some  locations.  At  the  same  locations,  the
            difference  between  the  fracture  and  pore  pressure  was  2.5  ppg  for  the  medium-depth
            water.  The pore and fracture pressures  differed by  1.5 ppg for the very deep water.  The
            results  show  that  as  the  water  depth  increased  the  difference  between  the  fracture  and
            pore pressures decreased.
               In a second model study, Lee et al. (1997) lowered a sonic log to the fixed depth levels
            of  2000  and  3000  m,  to  analyze  pressure  gradients.  They  replaced  the  sediments  by
            adding  water columns  of 50,  1000,  and  2000  m.  They also  assumed that the  sediments
            from the water bottom to the top of the sonic log were homogeneous. The second model
            differed from the first model by the position of the sonic log.  The  sonic log was located
            exactly below  the  water bottom  for the  first  model,  whereas  for the  second model,  the
            log was located at a fixed depth. Using this model, they calculated the pressure gradients
            for  each  water  column.  The  pressure  gradient,  ~,  was  calculated  from  the  following
            equation:

                 ~. -         PP                                               (7-21)
                     (Zo -  Zw) +  0.465Zw
            where,  pp  is  the  pore  pressure  and  Zo  and  Zw  are  the  pressure  observation  depth  and
            water depth,  respectively.

            Mapping reservoir fluid movement and dynamic changes of reservoir pressure using
            time lapse (4-D seismic)

               Time lapse (4-D) seismic data has been  proven useful  for accurate dynamic reservoir
            characterization.  As  Tufa  and  Aminzadeh  (1999)  stated,  to  achieve  accuracy  and  to
            ensure  that  all  available  information  at  any  given  time  is  incorporated  in  the  reservoir
            model,  reservoir  characterization  must  be  dynamic.  To  achieve  this  goal,  one  starts
            with  a  simple  model  of  the  reservoir.  As  new  well  log,  petrophysical,  seismic,  and
            production  data  become  available,  the  reservoir  model  must  be  updated  to  reflect  the
            changes  in the reservoir,  and for the model  to be more detailed and representative.  Both
            static  reservoir properties  (such  as porosity,  permeability  and  facies  type)  and dynamic
            reservoir  properties  (such  as  pressure,  saturation  of  fluids,  and  temperature)  must  be
            updated  as  more  field  data  become  available.  Characterizing  a  reservoir  by  updating
            both  static  and dynamic  reservoir properties  during  the  life of the  field is referred to as
            dynamic reservoir characterization.
               Reservoir  pressure  is  lowered  by  fluid  production,  whereas  gas  injection  or  water
            flooding  increases  the  reservoir pressure.  Such  changes  affect bulk density  and  seismic
            velocity  of the  reservoir  layers  which,  in  turn,  affect  the  travel  time  and  amplitude  of
            seismic waves propagating through the reservoir rocks.  Usually the amplitude variations
            are  more  apparent  than  the  travel  changes  in  4-D  seismic  surveys;  however,  these
            variations  must  be  of sufficient  size  to represent  a difference  between  the  base  seismic
            survey and the follow-up surveys.
              Forward modeling using laboratory data is generally utilized to estimate the expected
            changes  in  seismic  amplitudes.  The  effect  of fluids  on  reservoir  rock  velocity is  more
            pronounced  than  that  on  the  density.  The  introduction  of  gas  into  a  liquid-filled  rock
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