Page 313 - Origin and Prediction of Abnormal Formation Pressures
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282                                  H.H. RIEKE, G.V. CHILINGAR AND J.O. ROBERTSON JR.

            of dissolved constituents both inside  and  outside the clay  suspension is unity  (f  =  1).
            Furthermore,  in  Smith's  case,  the  concentration  of  either  negative  or  positive  ions  is
            expressed as a fraction of pore volume rather than concentration per unit of bulk volume.
            An additional assumption is that there is no association between cations and negatively
            charged  clay  particles.  A  complete  association  would  eliminate  the  cation-exchange
            capacity,  such  that  the  concentration  of  ions,  both  inside  and  outside  the  suspension,
            would  not  change  with  decreasing  porosity.  Partial  association,  therefore,  would  be
            expected  to  reduce  or  delay  changes  in  these  concentrations.  Realizing  this,  Smith
            extended his model to include the case in which the cations are partially associated with
            exchange sites on the negatively charged particles.
               Smith  (1977)  compared  his  experimental  data,  for  the  infinitesimal  equilibration
            case,  with  equations  describing  his,  Appelo's  (1977),  and  Bolt's  (1961)  models.  The
            plotted data show the variation between porosity and salinity of squeezed-out pore water
            from  smectite  clay  (Smith,  1977,  fig.  6,  p.  384).  Neither  Bolt's  nor  Smith's  equation
            gives good agreement with the experimental results.  The  trends predicted by these two
            models  deviate  from  the  experimental  results  with  decreasing  porosity.  At high values
            of porosity, the  three  models  (Appelo,  Bolt and  Smith)  all are  in good  agreement with
            the experimental data.



            ISOTOPE  STUDIES  OF  INTERSTITIAL  FLUIDS
               Aside from the ion concentrations, the stable isotopic composition of water is another
            parameter  to  characterize  pore  waters.  Deuterium  and  oxygen-18  concentrations  in
            meteoric  surface  waters  vary  by  about  43  and  5.6%,  respectively,  and  are  linearly
            related  (Degens  and  Chilingar,  1967).  A  comparison  of  the  180/160  and  D/H2  ratios
            shows  that  atmospheric  precipitations  normally  follow  a  Rayleigh  process  at  liquid-
            vapor equilibrium. The Raleigh process explains why with higher altitudes and latitudes
            fresh  waters  become  progressively  lighter,  whereas  tropical  samples  show  very  small
            depletions  relative  to  mean  ocean  water.  In  contrast  to  meteoric  waters,  ocean  waters
            are  isotopically  heavy  and  fall  within  a  narrow  range  of  1  and  0.1%  for  deuterium
            and oxygen-18,  respectively. Evaporation strongly affects  the  180/160 and D/H2 ratios
            by  causing  a  preferential  depletion  in  the  lighter  isotopes  ~H  and  160, which  are
            concentrated in the vapor phase. The remaining water will be heavier, and the D and 180
            contents will show a relative increase.


            Geological observations and evaluation

               Degens  and  Chilingar  (1967)  pointed  out  that  hydrochemical  field  evidence  by
            Knetsch et al.  (1963)  showed that in the Nubian  Series  aquifer in the western Egyptian
            Desert the oxygen isotopes  were not fractionated during  subsurface  transportation over
            a  distance  of  700  miles  and  at  a  depth  range  of  500-2000  ft.  The  oxygen  isotope
            ratios  of  the  water  samples  taken  at  intervals  of  20-100  miles  stayed  within  1%o,
            whereas  the  chemical  composition  fluctuated  strongly  in  response  to  migration  and
            diagenesis.
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