Page 328 - Origin and Prediction of Abnormal Formation Pressures
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ABNORMALLY LOW FORMATION PRESSURES                                   297

            Earth's crust, whereas the second one is a local process in some areas. But both of these
            processes  are associated with well-compacted rocks.  In this chapter, the authors  discuss
            only the  second phenomenon.  In order to estimate and compare compaction of rocks in
            different basins  and regions,  the  writers  used  the  coefficient  of irreversible  compaction
            of  rocks  /3(t,  T),  where  t  is  time  and  T  is  temperature.  The  change  in  porosity  of  a
            sedimentary rock with depth can be presented as follows (Dobrynin,  1970):

                    0(~p   =  /3 (t,  T)  x  d(~  -  p)                        (11- l)
                 (1  --  ~p)~p
            where a  is the overburden pressure,  p  is the pore pressure,  (or -  p) is the effective stress,
            and  ~bp  is  the  value  of porosity  in  the  highest  part  of the  interval  of interest.  Effective
            stress can be estimated as follows:

                 (or  -  p)  =  g(Pr  -  pw)h                                  (11-2)
            where g is the gravitational acceleration, fir is the average rock density, Pw is the average
            density of water,  and h  is the depth.  Using  fir   -  -  2.5  g/cm 3 and Pw  --  1.1  g/cm 3 as the
            average density of rocks  and water,  respectively,  one can estimate the  average effective
            stress  for  a  geological  section  as  (c~ -  p)  =  0.014 h,  and  determine  the  coefficient  of
            irreversible compaction/3 (t, T)  as:
                                1       Aq~p
                 ~(t,  T)  ~                                                   (11-3)
                          0.014(1  --  ~bp)~bp  Ah
            where  A~bp/Ah is the porosity gradient in the depth interval of interest.
               One  can  estimate  and  compare  the  coefficient  of  irreversible  compaction  of  shales
            /3(t,  T)  in  different  basins.  On  comparing  shale  porosity-depth  relationships  of  the
            Gulf  Coast  (Dickinson,  1953),  the  Oklahoma  Basin  (Athy,  1930),  the  West  Kuban
            Depression  (Popov,  pers.  commun.,  1970),  the  North  Caspian  Basin  (Dobrynin  and
            Serebryakov,  1978)  and  the  Powder  River Basin,  one  can  observe  that  shale  porosity-
            depth relationships in various basins are quite different (also see Rieke and Chilingarian,
            1974).  Using  these  data  and  Eq.  11-3,  one  can  estimate  the  coefficient  of irreversible
            compaction  for  these  four  basins  (Table  11-1).  In  three  of  these  basins  (Gulf  Coast,
            Oklahoma  and  West  Kuban  Depression),  the  coefficient  of  irreversible  compaction
            varies  greatly  with  depth.  There  is  a  fourfold  change  with  a  depth  of  2  km  in  the
            Gulf  Coast,  almost  twice  in  Oklahoma,  and  one  and  a  half  times  in  the  West  Kuban
            Depression.  This  variation  shows  that  rocks  in  these  basins  are  not  fully  compacted
            and  that  the  compaction  of these  rocks  may be  continuing  even  now.  Only  two  basins
            in  Table  11-1,  the  North  Caspian  and  Powder  River,  have  highly  compacted  rocks,  as
            shown by the  fact that the  coefficient of irreversible  compaction  is  not  changing  much
            with depth.
               Compaction  of  these  rocks  has  stopped.  The  probability  of  creating  abnormal
            pressure  in the  more  compacted,  isolated rocks  of these  basins  is  significantly  greater,
            because  the  influence  of  temperature  on  pore  pressure in  these  rocks  is  significantly
            greater.
               Unusual underpressured  hydrocarbon traps,  and  the  seals  that  isolate  them,  result
            from  global  temperature  change  at the  Earth's  surface  or  from  local  temperate  change
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