Page 21 - Basic Well Log Analysis for Geologist
P. 21

BASIC  RELATIONSHIPS  OF  WELL  LOG  INTERPRETATION







          Temp  =  temperature  at  which  resistivity  was  measured   Bulk  Volume  Water:
          Ty    =  formation  temperature                          BYVW  =¢  xX  Sy

          Using  a  tormation  temperature  of  166°  and  assuming  an   Permeability
        R,,  of  0.04  measured  at  70°,  the  Ry  at  166°  will  be:   K.  =  [250  x  (b4/Sy oil
                                                                                   in)
                                                                                      |?
                                                                        K.  =  permeability  in  millidarcies
          Ryieo  =  0.04  *  (70+  6.77)/(166  +  6.77)
          Ry  too  =  0.018                                        K.  =  [79  x  (9/Sy  inn)  ]?  gas
                                                                        Sw  in  =  irreducible  water  saturation
        Resistivity  values  of  the  drilling  mud  (R,,).  mud  filtrate
        (Ryyp).  mudeake  (R,,,).  and  the  temperatures  at  which  they   tn  =  saturation  exponent  which  varies  from  1.8  to  2.5  but  most
        are  measured,  are  recorded  on a  log’s  header  (Fig.  2).  The   often  equals  2.0
        resistivity  of a  formation’s  water  (R,)  is  obtained  by
                                                                 Review  -  Chapter  I
        analysis  of  water  samples  from  a  drill  stem  test,  a  water
                                                                    |.  The  four  most  fundamental  rock  properties  used  in
        producing  well,  or  from  a  catalog  of  water  resistivity
                                                                 petrophysical  logging  are  (1)  porosity:  (2)  permeability:  (3)
        values.  Formation  water  resistivity  (R,,)  is  also  determined
                                                                 water  saturation;  and  (4)  resistivity.
        from  the  spontaneous  potential  log  (discussed  in  Chapter  I)
                                                                   2.  The  Archie  equation  for  water  saturation  is:
        or  can  be  calculated  in  water  zones  (i.c.,  S,,  =  100%)  by
        the  apparent  water  resistivity  (R,,)  method  (see  Chapter
        VI).                                                                           FX  R,\
                                                                                  Sw  =   R
        Fundamental  Equations
          Table  2  is  a  list  of  fundaniental  equations  that  are  used  for   Where:
        the  log  evaluation  of  potential  hydrocarbon  reservoirs.
                                                                     Sy  =  water  saturation  of  uninvaded  zone
        These  formulas  are  discussed  in  detail  in  subsequent
                                                                     F   =  formation  faetor
       chapters.
                                                                     Ry  =  formation  water  resistivity
       Table  2.  Fundamental  Equations  of  Well  Log               R,  =  formation  resistivity  (uninvaded  zone)
               Interpretation.
                                                                   3.  Where  a  porous  and  permeable  formation  is
       Porosity:                        At~   At                 penetrated  by  the  drill  bit,  the  drilling  mud  invades  the
         Sonic  Log            bsontc  =  ya                     formation  as  mud  filtrate  (Ry p).
                                               ma                  4.  The  invasion of  the  porous  and  permeable  formation
              .                               a   o7   p         by  mud  filtrate  creates  invasion  zones  (R,,  and  R,)  and  an
          Density  Log         pen   =      fm
                                                                 uninvaded  zone  (R,).  Shallow,  medium,  and  deep  reading
                                               ma   f
                                                                 resistivity  logging  tools  provide  information  about  the
         Neutron-Density  Log   dup   =
                                                                 invaded  and  uninvaded  zones  and  about  the  depth  of
                                                                 invasion.
       Formation  Factor:
                                                                   5.  The  lithology  of  a  formation  must  be  known  because:
         F  =  a/cb™   General                                   (1)  porosity  logs  require  a  matrix  value—sandstone,
           =  1.0/2    Carbonates                                limestone,  or  dolomite—in  order  to  determine  porosity;  (2)
         F  =  0.81/2   Consolidated  Sandstones                 the  formation  factor  varies  with  lithology;  (3)  the  variation
         F  =  0.62/2.!5   Unconsolidated  Sands                 in  formation  factor  causes  changes  in  water  saturation
                Rind Ry                                          with  changes  in  temperature.  Consequently,  a  formation’s
       Formation  Water  Resistivity:                            values.
                                                                   6.  The  four  fluids  that  affect  logging  measurements  are:
         SSP  =  —K  X  log  (RyRy)                              (1)  drilling  mud,  R,,;  (2)  mud  filtrate,  Rug  (3)  formation
             >
              Ry
         Rye                                                     water,  R,,;  and  (4)  hydrocarbons.
               R
         R,  =                                                     7.  The  resistivities  of  the  drilling  mud  (R,,).  mudcake
           vo   F                                                (Rye),  mud  filtrate  (Rp)  and  formation  water  (R,,)  all  vary
       Water  Saturations:
         Syt=  F  x  (R,/R,)   water  saturation  uninvaded      temperature  (T;)  must  be  determined  and  all  resistivities
                                                                 corrected  to  Ty.
                              zone
         Sxot=  FX  (Rin/Ryo)   water  saturation  flushed  zone
          .     R./R,  \   0.625        ;    ;
         Sy  =   (ae         walter  saturation  ratio  method
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