Page 305 - Origin and Prediction of Abnormal Formation Pressures
P. 305

PORE WATER COMPACTION CHEMISTRY AS RELATED TO OVERPRESSURES          275




                            10,000  -

                         E                        \      ~        ,CI
                         C).
                         CL
                         c-                        "'"'~'--x    \"  Na  +
                         O                            k
                              1000  -
                         ,m,,,
                                                        \  ~       t~,,,,2 +
                         0
                         C}.                              ~%~'  -'---e h A _2+
                         E               ~.                  S.   _e ,/+
                         0                 \..                ..,(,"
                         0                    "~-.-,...,,   ./  \
                         0                           ~'~..~/    ~
                         0    100 "                              %
                         E                                       \  SO4 2
                         (b
                          r
                         (,9


                                    seo ~oter   i        1'2      2~,

                                      Compaction      time,  days
             Fig.  10-32.  Changes  in  cation  contents  of expelled  water  with  time.  Composition  of seawater  is  also  shown
             for comparison.  (Modified  after Aoyagi  et  al.,  1985,  fig.  3,  p.  388.  In Chilingarian  et  al.,  1994,  fig.  5-24,  p.
             142.)

             calculated  that  even  at  a  pressure  of  60,000  psi  (400  MPa),  the  platy  surfaces  of  the
             kaolinite particles  in 0.55  NaC1  solutions  would  still be  separated by  90/k.  Knill  et  al.
             (1976) obtained similar results for kaolinite clay hydrated in seawater and compacted up
             to 5000 psi  (35 MPa)  (Fig.  10-25).  When the  same data  are replotted with composition
             expressed  as  a percentage  of the  initial  concentration,  however,  then  there  is  a  distinct
             change in the concentration of expelled pore water with increasing pressure (Fig.  10-26).
             Wijeyesekera and de Freitas (1976) reported similar findings.

             Kotova and Pavlov's empirical model
               Using  Kotova  and  Pavlov's  model,  it  is  possible  to  calculate  the  concentration  of
             dissolved constituents remaining in the pore water of the compacted sediments  (Kotova
             and Pavlov,  1968). Their numerical model is as follows:

                  C--Co   1   e  p                                             (10-11)

             where  C  is  the  ion  concentration  of  pore  water  at  a  pressure  p,  Co  is  the  initial  ion
             concentration  of pore  water  at  p  =  O,  and  )~ and  n  are  constants,  the  values  of which
             depend  on the  physicochemical  and  geological  conditions.  In their  experiments,  )~ was
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