Page 68 - The Geological Interpretation of Well Logs
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-  THE  GEOLOGICAL  INTERPRETATION  OF  WELL  LOGS  -—


        Table  6.9  Construction  of  the  average  Archie  Formula.

                 Symbol     Character               Derived  from

                 6           Porosity               Sonic  log,  neutron  log,  density  log,
                                                     cross—plots,  etc.

          R      0.62       F                       calculated  using  empirical  formulae
           °     ath        (Humble  Formula)         (e.g.  Humble  Formula)  and  porosity  as  above

                 RK,        Formation-water         SP  or  laboratory  measurements
                                                      resistivities  of  water  samples


                R,          Rock  resistivity  saturated   R,=FXR,
                            100%  with  formation  water   (can  only  be  calculated,
                                                      cannot  be  measured  with  logs)

                 RX,        True  formation  resistivity   Induction  logs
                                                    Laterologs  (deep  resistivities)

                 Ss         Water  saturation  of  pores   S,  hydrocarbons  —  R,
                                                     §,,  100%  water  R


                                            Ry   Ry  Ry
                                           vor  ?  salt  fresh   ydracardons  (gas)
                                            sal                      light  6  =9



                                                no

                            &  1$%

                                            q
                                            '
                                            1
                                            '
                                            1
                                            1
                                            '
                                              '
                                          medium  resistivily   Rat  constant
                                          deep  rasislivily
        Figure  6.23  Schematic  illustration  of  the  behaviour  of  resistivity  logs  over  the  same  reservoir  bed  but  with  different  fluids  and,  in
        the  last  case,  no  porosity.

        and  values  for  the  unknowns  may  be  obtained  as  shown  in   interpretation  are:  gross  indications  —  deep  logs;  texture  -
        Table  6.9.                                       intermediate  logs;  texture  and  structure  —  micro-logs.

                                                          Textures
        6.8  Qualitative  uses
                                                          The  resistivity  of  a  rock  is  intimately  related  to  texture.
        General  indications for  resistivity  log  interpretation   The  simplest  expression  of  this  is  the  variation  of  resistiv-
        To  interpret  the  geological  significance  of  resistivity  logs   ity  with  porosity  changes.  When  the  porosity  decreases,
        it  is  essential  to  realize  that  the  same  porous  bed  can  have   the  resistivity  increases  other  things  being  equal  (Figure
        a  multitude  of  resistivity  responses,  depending  on  fluid   6.24).  This  is  in  fact  the  basis  of  the  porosity-resistivity
        content  (Figure  6.23).  In  petrophysical  terms,  F  will   cross-plots  (Hingle  and  Pickett),  in  which  a  departure
        remain  constant  while  X,  varies  (see  Figure  6.6).  No   from  a  constant  porosity  to  cesistivity  relationship  indi-
        porous  bed  can  be  said  to  have  a  typical  resistivity  -  this   cates  a  change  in  water  saturation  and  the  presence  of
        is  a  genera]  principle  for  qualitative  geological  work.   hydrocarbons  (see  Asquith,  1982).
          General  notions  of  depth  of  investigation  and  bed   However,  as  discussed  previously  (Section  6.2),  the
        resolution  as  previously  described  (see  ‘Log  character-   influence  a  rock  (as  opposed  to  fluids)  has  on  resistivity
        istics’)  must  also  be  considered.  The  indications  for   can  be  expressed  by  F,  the  formation  resistivity  factor,

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