Page 114 - Basic Well Log Analysis for Geologist
P. 114

LOG  INTERPRETATION







         the  measured  value  of  SP  from  the  spontaneous  potential   Where:
         Jog  in  a  wet  zone.  The  presence  of  hydrocarbons  results  in   Sy   =  water  saturation  of  the  uninvaded  zone
         R,  values  which  are  greater  than  R,.  This  means  that  when   R,   =  resistivity  of  formation  water  at  formation
         SP  is  calculated  from  the  R,,  and  R,  values,  it  will  be  lower   temperature
         than  the  measured  value  of  SP.                         Rya  =  apparent  formation  water  resistivity  from  Ry.
           On  the  log,  the  R,,/R,  curve  is  plotted  as  a  dashed  line.   curve
         The  dashed  line  tracks  the  SP  curve  in  wet  zones  (see  Fig.   Note:  When  Ry  =  Ry,   then  Sy  =  100%
                                                                                           Wit
         6A,  Chapter  I),  but  deflects  to  the  right,  away  from  the  SP   Besides  the  use  of  Ry,  as  a  quick  look  method  for
         curve,  in  hydrocarbon  bearing  zones  (see  Fig.  99,  Chapter   hydrocarbon  detection,  Ry,  can  also  be  applied  as  a
         VII).
                                                                   calculated  value  for  formation  water  resistivity  (R,,)  in
           Ryq  Curve     —The  Ry,  curve  is  presented  in  track  #1  as  an   water-bearing  zones.  R,,,  is  a  value  for  Ry  whenever  S,,
         overlay  to  the  SP  curve,  similar  to  the  R,,/R,  curve.  In   equals  100%.  In  hydrocarbon-bearing  zones,  the  value  of
         water-beiring  zones.  the  Archie  equation  for  the  uninvaded   Ry,  from  a  water-bearing  zone  can  be  used  as  Ry  to
         zone  ean  be  rewritten  as  follows:
                                                                   calculate  water  saturation  (S,,)  if  both  zones  have  a  constant
                                                                   formation  water  resistivity.
                         Sy  =  VF  x  (R,/Ry)
                                                                     Conductivity  Derived  Porosity  Curve—-The  conductivity
         Or:                                                       derived  porosity  curve  is  a  Dresser  Atlas  (1975)  quick  look
                             il
                         1.0  =  VE  xX  (R,/R,)                   curve,  plotted  in  track  #1  along  with  the  SP  curve.  Chapter
                      (where  S,,  =  100%  or  1.0)               III  discussed  how  resistivity  (remember  that  resistivity  =
                                                                   i  ,000/conductivity)  assists  in  determining  porosity.  Here.
         Next.  square  both  sides:
                                                                   resistivities  of  the  uninvaded  zone  (R,),  rather  than  flushed
           Sy  =  water  saturation  of  the  uninvaded  zone      Water-bearing  zones:   ax  Ry   \l’™
                          1.0  =  F  x  (R,/R,)
                                                                   zone  (R,,)  resistivities,  are  applied  to  find  resistivity
         Now.  solve  for  Ry:                                     porosity.  The  formulas  are  as  follows:
                            Rwa  =  R,/F
                 (remember:  R,  =  R,  when  S,  =  100%)
                                                                                   b=
                                                                                         {-
                                                                                              w.
                                                                                           R,
         Where:                                                                  Sy  =  L00%  and  R,  =  R,
           R,,  =  resistivity  of  formation  water  at  formation   Hvdrocarbon-bearing  zones:
                temperature
           R,  =  true  formation  resistivity  (R,  =  R,  when  S,  =                :      /   lim
                                                                                  =  eee
                 i00%)
                                                                                            Ww
           F   =  formation factor  (a/b™)
                                                                                  Sy  <  |.Oand  R,  >  R,
                F  =  1/2  carbonates
                                                                   Where
                F  =  0.81/c?  consolidated  sands
                                                                     cb   =  resistivity  (conductivity)  derived  porosity
                F  =  0.62/2.15  unconsolidated  sands
                                                                     Ry  =  resistivity  of  formation  water  at  formation
           Rya=  apparent  water  resistivity  (Ry,  =  Ry  in
                                                                          temperature
                water-bearing  zones)
                                                                     R,  =  formation  resistivity  when  S,  =  100%
           In  water-bearing  zones  (S,,  =  100%),  the  calculated  Ry,   R,   =  true  formation  resistivity  (Ry  or  Ryepy)
                                                                                                  gy
         value  is  equal  to  Ry.  However,  if  hydrocarbons  are  present,   Remember:  R,  =  R,  when  S,  =  100%
         R,  will  be  greater  than  R,,  and  R,,,  will  be  greater  than  R,,   =  water  saturation  of  the  uninvaded  zone
         (Fertl,  1978).  The  R,,,  curve  is  plotted  as  a  dashed  line   a   =  constant  (Dresser  Atlas  uses  1.0  for  carbonates  and
         along  with  the  SP  curve.  Low  Ry,  values  are  recorded  on   0.62  for  sandstones)
         the  left-hand  side  of  the  log.  The  R,,,  curve  will  deflect  to   m   =  constant  (Dresser  Atlas  uses  2.0  for  carbonates  and
         the  left  in  wet  zones  and  to  the  right  in  hydrocarbon-bearing   2.15  for  sandstones)
         zones  (see  Fig.  79,  Chapter  VII).  This  deflection  is  similar
                                                                     The  calculated  resistivity  porosity  of  water-bearing  zones
         to  the  behavior  of  the  R,,/R,  curve  for  hydrocarbon  or  wet
                                                                   be  less  than  true  porosity.  This  apparent  porosity  loss  results
         zones.  An  advantage  of  an  R,,,curve,  rather  than  an  R,,/R,   (Sy.  =  1.0)  is  close  to  true  porosity.  However,  if  hydro-
         curve,  is  that  Ry  values  can  be  converted  to  a  quantitative   carbons  are  present,  the  calculated  resistivity  porosity  will
         value  for  water  saturation  (S,,).  The  procedure  is  as  follows:   because  hydrocarbons  have  greater  resistivity  than
                           Sy.  =V  Ry/Rwa                         formation  water.  The  resistivity  porosity  formula  for


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