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Mineralogy and Mineral Sensitivity of Petroleum-Bearing Formations  33



















                                                      10          15
                                              1
                                            1 « (hr
                                  •   Osisanya and Chenevert Gage 1  data
                                      Correlation of the Gage 1 data
                                   %  Osisanya and Chenevert Gage 2 data
                                      Correlation of the Gage 2 data
                                  X   Osisanya and Chenevert Gage 3 data
                                      Correlation of the Gage 3 data

             Figure 2-20.  Correlation  of water  pickup  during  swelling  (after  Civan, ©1999
             SPE;  reprinted by  permission  of  the  Society  of  Petroleum  Engineers).




             shows  the correlation  of their  data with Eq. 2-18 using Eq. 2-6. The  best
             fits  were  obtained  using w 0= 2.7 wt.%, w t= 3.27  wt.%, A = k w(c {  -  c 0)/
             h  = 0.26 and  h-Jo = \  for their  Gage  1 data,  w 0 = 2.77 wt.%,  w t =  3.28
             wt.%, A = 0.06  and  h^D  = 0.8  for their  Gage  2 data, and w 0= 2.77 wt.%,
             w t =  3.28 wt.%, A  =  0.035  and  h-^j~D  = 0.8  for  their  Gage  3  data.
               Brownell  (1976)  reports  the  data  of  the  moisture  content  of  a  dried
             clay  piece  containing montmorillonite  soaked  in water. Figure 2-21 shows
             a  correlation  of  the  data  with  Eq.  2-18 using  Eq.  2-6. The  best  fit  was
             obtained  using  w 0 = 0%,  w t = 14.2 wt.%, A =  0.2  and

             Time-Dependent     Clay  Expansion    Coefficient

               By  contact  with water the  swelling clay particles  absorb  water  and ex-
             pand.  The  rate  of  volume  increase  is  assumed  proportional  to  the  water
             absorption  rate,  5,  and  the  deviation  of  the  instantaneous  volume  from
             the terminal swollen volume that will be achieved  at saturation,  (V t  - V).
             Therefore,  the  rate  equation  is  written  as:
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