Page 57 - The Geological Interpretation of Well Logs
P. 57

-  RESISTIVITY  AND  CONDUCTIVITY  LOGS  -

        Table  6.4  Resistivily  notation.

                                                     Fluid  resistivity
                          Formation  resistivity     (laboratory  measured  and/   Fluid  saturation
        Zone              (tool  measured)           or  log  calculated)

        Hole              R,,  (m  =  mua)           R,

        Mud  cake         R,  (me  =  mud  cake)     Rac

         Flushed  zone    R.                         R_,  (mf  mud  filtrate)      S,,  (saturation  in  mud  filtrate)
                                                           =

         Invaded  zone
        (transition)      R,  (i  =  invaded)        R,(R,,  +R,  mixed)

         Uninvaded  zone   *R  (t=  true)            R,  (w  =  formation  water)   S,,  (saturation  in
                                                     R,  (0  =  original)          formation  water

         *R_  =  true,  uninvaded  formation  resistivity  of  rock  which  may  contain  hydrocarbons  —  too!  measured.
         R,  =  Original,  uninvaded  formation  resistivity  of  rock  with  100%  formation  water  saturation.  Cannot  be  too]  measured.
             It  is  an  ideal  figure  for  calculations.  In  clean  /00%  water-saturated  zones  R,  =  R,  {or  is  very  close).
                 5                                              LOG  RESPONSES    RESISTIVITY  PROFILES
                 =      o
                 3      €    ¢                                      R_desp  (R,)
                        6    ¢                                     -=~   ate       UMINYACED  (INVACED   FLUSHED
                        2  8                                      R_shallow  (Ryo)   one   TOME   |ZONE|MYO  CAKE
                 5  2   zg   vy                                  om  obm  mé4m                    {
                 £      °    2                                                  e
                        $
                             7
                 2                                                              2
                 >
                  ~                                        Rat  &R              es                  co
                        .
        «t)                                                     “               Ee                  «
                                                           Ros  Ry              =3
                                                                                £   a          R
                                                                10m             °       :       x0
                                      ZONES  OF  INVASION                       =        ———_§|#  Di   —
                                                                 om  onm  mesm   F
                    7
        (2)  100%                                                               3
                           :
                    ,      1            FLUID  MIXING      RU=R                 os]
                  _                                         mi   w              —e
               formation   mud                             R   R                 us                 oO

              water  (R,,)   filtrate   fluld  resistivities   xo   tl   (      25                  S
                          (Rp                                   10m             a?)  5   R  t   R  xO   >  5
                           mi             Ry  Rent
                           1       2                                            =

            °                  ov
                            Rio   °   A
                                                                 om              é
                           i      &  RESISTIVITY  PROFILE                       =                   5
                           ‘      5                                               -
                     R     ‘    g   |r   (schematic)       Rent  >  Pw   \       es                 a
               R           '   be      | 2   salt  formation  water       f     =$\p
                t          ‘       Elan                    RL   OR   7          =   t          R.
                    ;      ‘     Xiu   Tool  measured  resistivities   XO   t   ,   a           xo
           —______                      Rae  Bi  Pgs  Bing      10m              o
              distance  trom  borehole                           om  2am  orm    $
                           .   «                                       1        =
                                                                                 Ze
         Figure  6.8  (1)  Zones  of  invasion  about  a  borehole;   RFR
              .          :         .      ty   ee                                =)
         (2)  equivalent  schematic  representations  of  fluid  mixing;   a,  =  .   S53           g
              ee   8                                        a
         (3)  resistivity  profile,                                    |        aR,            eof   3
                                                                10m    !         2
               es                .       :   :                         2             ~
         effect,  it  is  necessary  to  consider  the  invasion  of  mud   ne   Trev

                 :       .   soe            sess                    A            7
         filtrate  (with  a  certain  salinity  and  hence  resistivity,  R,,.)   2                 é
         +         +      soe   .        .          -                            5                  w
         into  a  formation  containing  either  formation  water  (resis-   Ray  eR,  |  |   He    ©
           os                                                        t          23  8
         tivity  R,)  or  hydrocarbons.                     RoR,  |              =   Lt        Rxo
                                                                 10m!   1        a
           For  convenience,  the  invasion  of  a  porous  and  perme-
                                                                      All  cases  clean  formation  100%  walter  filled
         able  bed  by  mud  filtrate  is  divided  into  zones  (Figure  6.8,
         /).  In  reality  the  zones  grade  one  into  the  other.  Closest  to   Figure  6.9  Schematic  log  response  and  resistivity  profiles  for
         the  borehole,  behind  the  mud  cake,  is  the  flushed  zone   water-bearing  reservoir  considering  various  cases  of  mud
                                                           resistivity  and  formation-water  resistivity.  For  symbols  see
         where  the  mud  filtrate  has  replaced  all  but  a  small  volume
                                                           Table  6.4  (see  aiso  Table  6.5).
         of  the  original,  in-place  fluids.  Gradually,  further  and  fur-
         ther  away  from  the  hole,  the  volume  of  invading  mud
         filtrate  becomes  less  and  less  until  only  original  forma-   The  regular  change  in  fluids  away  from  the  borehole
         tion  fluids  are  found  (Figure  6.8.2).  This  is  the  transition   gives  rise  to  a  parallel  change  in  the  resistivity  of  the
         or  invaded  zone  which  gives  way  to  the  uninvaded,  virgin   formation  as  a  function  of  the  distance  away  from  the
         formation.                                        borehote.  The  resistivity  variations  can  be  conveniently
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