Page 129 - The Geological Interpretation of Well Logs
P. 129

-  THE  DENSITY  AND  PHOTOELECTRIC  FACTOR  LOGS  -

                 Table  9.4  Unwanted  environmental  effects  -  density  log.

                 Factor                Effect  on  log                               Severity*

                 Caved  or  rough  hole   Decrease  in  formation  densily  to  approach   Frequent
                                       a  drilling  mud  density  value

                 Barite  in  the  drilling  mud   Automatically  corrected  in  the  tool-  when  mud-cake   {Rectified}
                                       is  thick,  gives  the  cake  density

                 *When  the  effect  makes  the  log  reading  unusable.  Ratings:  frequent,  common,  present,  rare.

                            BULK  DENSITY                           COMPONENTS
                             a

                                                                                    —é
                                                                                   | __ PORE  FLUIO
                                                                                      Density  11  gfem4
            BULK
                                                                                   |  MATRIX  (grains)
            DENSITY
            2:5  g/em3                                                                  Density  2-65 g/em>

                       TOOL  MEASURED
        Figure  9.7  Tool  measured  bulk  density  and  a  visualization  of  the  derivation  of  the  porosity  component.  The  figures  are  for  a
        sandstone  with  10%  porosity.
                                                                      BULK  DENSITY  g/cm?
        9.5  Quantitative  uses                                         22   24   24   2a
                                                                                10
        Porosity  caiculation                                o-
        The  density  log  is  used  to  calculate  porosity  and  it  may
        also,  with  difficulty,  be  used  to  calculate  hydrocarbon
        density.  To  calculate  porosity  from  Jog-derived  bulk
                                                                                       Oma  #  2-68  g/em®  (quartz)
        density  it  is  necessary  to  know  the  density  of  all  the  indi-
                                                                                       Ptl   =149/cnr  {salt  water}
        vidual  materials  involved.  The  density  tool  sees  global
        (bulk)  density,  the  density  both  of  the  grains  forming  the
        rock  and  of  the  fluids  enclosed  in  the  interstitial  pores
        (Figure  9.7).  As  an  example,  if  the  tool  measures  a  bulk   7
        density  of  2.5g/cm’  in  a  salt-water-bearing  formation
        (fluid  density  1.1g/em?  [as  seen  by  the  tool])  we  can
        interpret  any  of  the  following:                                            Grain  Density
                                                                           2           Histogram

                                                                    BULK  DCuguty
         Lithology      Grain  density   Porosity                   toa
          Sandstone     2.65g/em?      10%                  80
          Limestone     2.71  g/cm?    13%
         Dolomite       2.87 g/cm?     21%
        Of  course,  if  we  know  the  grain  (matrix)  density  and  the
        fluid  density  we  can  solve  the  equation  that  gives  porosi-
        ty  from  the  summation  of  fluid  and  matrix  components
                                                            soon 4
        (Figure  9.7).  For  example,
          bulk  density  (p,)  =  porosity  ()  X  fluid  density  (p,)
                          +(1-—)  X  matrix  density  (p,)

        When  solved  for  porosity  this  equation  becomes:
                                    ~
                      porosity  $  =  Pm Po
                                 Pina  —  Pe
                                                           Figure  9.8  Close  correspondence  between  the  bulk  densily
        where  p, |  =  matrix  (or  grain)  density,  p,  =  fluid  density   log  and  core-measured  porosity  in  an  orthoquartzite.  The  bulk
        and  p,  =  bulk  density  (as  measured  by  the  tool  and  hence   density  can  be  converted  to  porosity  using  a  matrix  density  of
        includes  porosity  and  grain  density).          2.68g/cm?,  as  indicated  by  the  inset  histogram,
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