Page 108 - The Geological Interpretation of Well Logs
P. 108

-  THE  GEOLOGICAL  INTERPRETATION  OF  WELL  LOGS  -

         3   8
                                                          schematic  representation  illustrated  (Figure  8.7)  of  a
                                                          straight  wave  path  through  a  sediment  is,  not  surprisingly,
        18.00}              ~   2   :
                                                          incorrect.  Hf  an  incorrect  ray  path  is  the  cause  of  the  gener-
                             vee
        18.00                 or        ;                 al  error,  then  the  path  through  the  fluid  is  longer  than
                                ae   PEAPENOICULAR FIT
                                                .  LINE
                                             BEST
                                                          expected  (or  shorter  through  the  matrix),  hence  the  over-
                                           FORA
                         oe te  '   ,   B--  3241+ ‘AL
         14.00            ate   SY                        estimation  of  porosity.  This  is  onty  one  possibility.
                          on  ie
                                                            For  unconsolidated  sediments,  most  logging  companies
                        .   “   Th
       fer            +   tees
                                                          provide  compaction  correction  coefficients,  based  on
                      re      .
           scot      wr  ates                             cross-plotting  sonic  porosities  and  density-  or  neutron-
       B  2  10.00
                      te     4
                                                          log  porosities.  It  is,  however,  best  to  avoid  using  the  sonic
                       tape   we
       &              FR,
       g   8.00-    .*   a   *                            log  to  calculate  porosity  in  unconsolidated  formations
                    tek     :
                     .      ‘                             (Sarmiento,  1961).
         oa         often   %  *
                  fe:                                       When  gas  replaces  liquid  in  the  formation,  the  ume-
               1      ote       1                         deeply  into  the  formation,  there  is  often  sufficient  gas  in
                  t  os  {
         4.00-    BS    a  2                              average  graph  no  longer  applies  (i.e.,  V,  is  replaced  by  V,_
                                                          and  V_).  Even  though  the  sonic  pulse  does  not  penetrate
                    Ave
         2.00-     i%                                     the  invaded  zone  to  affect  the  velocity.  Indeed,  the  effect
                           1
                       4
                                        L
                   1
                                            id
                                    4
                                                          can  be  used  to  identify  gaseous  hydrocarbons  when  a
          WH   4.00   48.00   5200   56.00   6.00   B40   88.00   72.00   36,0   =&©.00
                               1
                            DELTA fFT                     gas/water  contact  is  present  (Figure  8.10).  To  estimate
                                pec
       Figure  8.8  Interval  transit  time  compared  to  measured   the  real  porosity  in  the  presence  of  gas,  the  porosity
       porosity  in  a  dolomite.  (From  McFadzean,  1973).   calculated  from  the  raw  log  should  be  multiplied  by
                                                          between  about  0.7-0.8,  but  this  is  only  an  estimate.
       1990).  Clearly,  the  physical  relationship  between  porosity   To  calculate  porosity  in  the  presence  of  shale  the
       and  sonic  velocity  is  still  to  be  explained.  From  experience,   sonic  log  must  be  corrected  for  a  shale  volume  derived
       the  effect  which  causes  most  deviation  from  the  simple   from  other  logs.
       law  is  lack  of  compaction  (i.e.  external  pressure),  when
       porosities  are  very  high,  especially  in  sandstones.
                                                          8.6  Qualitative  uses
       However,  recent  work  has  shown  that  the  failure  of  the
       time  average  equation  in  fact  covers  the  whole  range  of   Lithology  identification
       porosities  (Brereton  and  McCann,  1990)  (Figure  8.9).  For   The  velocity  of  the  common  sedimentary  rock  types  is
       a  particular  set  of  known  matrix  velocities,  the  time  aver-   rarely  diagnostic  of  lithology:  there  is  too  much  variation
       age  formula  always  over-estimates  the  porosity.  The  simple   within  each  type  and  too  much  overlap  between  types


                               *
                    km/sec                        Wyllie  time
                           *
                    velocity   *                 average  equation

                     34
                                                  S38   °    3      Sogmoem,  ©  &  amo  oO
                                               ;

                     2-     empirical ft   é   8  8,                     A  SEDIMENTS
                                                                      Cc
                                                                °
                                                                              7
                                                                                     T
                                                                       Tm
                              T
                                            T
                                     T
                      1
                                                                T
                                                  Tm
                       a            0.2          0.4           0.8           0.8           1
                                                      porosity
        Figure  8.9  Porosity  predictions  from  the  Wyllie  ‘time  average  equation’  in  (A)  sediments  (calcareous  oozes),  (B)  oceanic  basalts.
        Empirical  curve  fit  for  (C)  sediments  and  (D)  oceanic  basalts.  The  indication  is  that  the  Wyllie  equation  overestimates  porosity
        across  a  wide  range  of  values  (from  Brereton  and  McCann,  1990).
                                                      98
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