Page 139 - Reservoir Formation Damage
P. 139

Characterization of Reservoir Rock  121




                                                             150 ' F Wettability Curve
                                                             250 • F Wettability Curve





















                            20      30       40      50
                                     AVERAGE WATER SATURATION, %
              Figure 6-15. Effect  of temperature on the capillary  pressure curve  (Madden and
              Strycker,  1989; reprinted  by  permission  of  the  U.S. Department  of  Energy).




              of  the  properties,  x tj,  of the  minerals  present  in the  rock  by  the  property
              balance  equation:


                                                                          (6-7)


              or  in  matrix  form

                                                                          (6-8)

              where  n  and p  denote  the  number  of  rock  properties  measured  and  the
              number  of  different  mineral  phases  present  in  the  rock,  respectively,  and  £,
              denotes  the  measurement  error. Because,  the mineral properties,  x tj,  can be
              obtained  from  the  literature,  the  mineral  compositions,  ^:1,2,...,«,  can
              be  calculated  by  solving  the  set  of  linear  algebraic  equations  formed  by
              Eq.  6-7.  The  system,  represented  by Eq.  6-8,  is  under-determined  when
              the  number  of  measured  rock  properties  is  less  than  the  number  of
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