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54    Reservoir Formation Damage

                Tortuosity

                  Tortuosity  is  defined  as  the  ration  of  the  lengths,  L t  and  L,  of  the
                tortuous  fluid  pathways  and  the  porous  media:


                   T = L,/L                                                (3-13)

                Liu  and Masliyah  (1996a,  b) recommend  the  Bruggeman (1935)  equation

                       1 2
                     1
                   T ^ /                                                   (3-14)
                for  random  packs  of  grains  of  porosity  §  >  0.2  and  the  Humble  equation
                (Winsauer  et  al.,  1952)

                            1.15                                           (3-15)

                for  consolidated  porous  media  of  porosity  (|)  < 0.45.  They  point  out  that
                the  latter  may  have  a  variable  accuracy  and,  therefore,  tortuosity  should
                be  measured.

                Interconnectivity   of  Pores

                  Based  on  their  binary  images  shown  in  Figure  3-3,  Davies  (1990)
                classified  the  pore  types  in  four  groups  (Davies,  1990,  p. 74):

                   "Pore  Type  1:  Microspores,  generally  equant  shape,  less  than  5
                                  microns  in  diameter.  These  occur  in  the  finest
                                  grained  and  shaly  portions  of  the  sand.
                  Pore  Type  2:  Narrow,  slot  like  pores,  generally  less  than  15
                                  microns  in diameter,  commonly  slightly  to  strongly
                                  curved.  These  represent  reduced  primary  inter-
                                  granular  pores  resulting  from  the  reduction  of
                                  original  primary  pores  by  extensive  cementation.
                  Pore  Type  3:  Primary  intergranular  pores,  triangular  in  shape,
                                  twenty-five  to  fifty  microns  maximum  diameter.
                                  These  are the  original  primary  intergranular  pores
                                  of  the  rock  which  have  been  affected  only  mini-
                                  mally  by  cementation.
                  Pore  Type  4:  Solution  enlarged  primary  pores:  oversized  primary
                                  pores,  fifty  to  two  hundred  microns  maximum
                                  diameter  produced  through  the  partial  dissolution
                                  of  rock  matrix."
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