Page 112 - The Geological Interpretation of Well Logs
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-  THE  GEOLOGICAL  INTERPRETATION  OF  WELL  LOGS  -

        specific  stratigraphic  intervals,  especially  in  fine  grained   INTERVAL
                                                                          TRANSIT  TIME
        sequences.  There  are  many  examples  in  the  literature  (i.e.
                                                                          (microseconds)   o
        Michelsen,  1989;  Whittaker  e7  af,  1985).
                                                                         240         40|   3
                                                                            L   L   1   1   oO

        Fracture  identification                                                          =
                                                                                          F
        A  knowledge  of  the  presumed  travel  paths  of  the  sonic                    -l
        signals  (Figure  8.7)  suggests  that  the  log  may  be  used  for   4004
        fracture  identification.  The  sonic  log  porosity  is  probably
        only  that  due  to  the  matrix,  and  does  not  include  fracture
         porosity.  This  is  because  the  sonic  pulse  will  follow  the
         fastest  path  to  the  receiver  and  this  will  avoid  fractures.
                                                                     5007
         Comparing  sonic  porosity  to  global  porosity  should
         indicate  zones  of  fracture.  The  subject  is  fully  described
         under  the  Density  Log  (see  Chapter  9,  ‘Fracture  identifi-
         cation’).  The  use  of  the  full  waveform  acoustic  log  in
                                                                  -~   600;
         fracture  analysis  is  discussed  below  (Section  8.8).   €                         tc
                                                                  ~                   <        <
                                                                   s                  &  f     5
         Compaction
                                                                   3                  °        wi
         As  a  sediment  becomes  compact,  so  its  velocity  increases.   .        <        re
        The  effect  is  most  obvious  on  reduced-scale  sonic  logs   7004         Sf       ws
                                                                                      &        =
         where,  over  thick  shale  intervals,  there  is  a  regular  increase               °
                                                                                               al
         in  velocity  downwards  due  to  compaction  (Figure  8.17).  In
        extremely  homogeneous  intervals  when  interval  transit
         time  is  plotted  on  a  Jogarithmic  scale  and  depth  on  an   800
                                                                        -
         arithmetic  scale,  there  may  be  a  straight-line  relationship
         which  represents  a  very  regular  compaction  (Hottman  and
         Johnson,  1965).  Such  regular  relationships  are  especially
         visible  in  Tertiary  sediments  in  many  parts  of  the  world   9007
         (e.g.  Herring,  1973;  Magara,  1968;  Issler,  1992).
           But  graphical  methods  have  limitations  and  compaction
         is  better  studied  quantitatively  by  measuring  changes  in
                                                           Figure  8.17  Compaction  in  a  shale  sequence  shown  by  a
         shale  porosity  with  depth.  In  turn,  shale  porosities  can  be
                                                           regular  decrease  in  interval  transit  me  with  depth.  The
         calibrated  with  log  derived  interval  transit  times  (Magara,
                                                           velocity  decreases  from  approximately  160p/ft  to  140p/ft
         1978;  Issler,  1992)  (Figure  8.18).  Using  data  from   over  500m.
         Japan  and  Eastern  Canada,  Magara  (1978)  proposed  an
         empirica]  relationship:
                                                            $%
                        6  =  0.466A0  -  31.7
                                                            POROSITY
         where  $  =  shale  porosity  and  Az  =  sonic  transit  time.                              —
           But  both  the  Wyllie  time  average  equation  (i.e,  Bulat   2
                                                                 160   160   140   130   120   1190   100   so   80   70
         and  Stoker,  1987,  see  above  for  the  formula)  and  the
                                                                           INTERVAL  TRANSIT  TIME  At  log  pft
         ‘acoustic  formation  factor’  approach  (Raiga-Clemenceau
         et  al.,  1988)  have  been  used.  The  latter,  when  used  in   Figure  8.18  The  relationship  between  mudstone  porosity
         the  Beaufort-Mackenzie  Basin  gives  the  following  results   (  &%)  and  interval  transit  time  in  Miocene  mudstones,  Japan.
         (Issler,  1992):                                  (From  Magara,  1968).
                               Atma   \1                   forces,  sandstones  more  to  chemical  and  mineralogical
                         =1-         _
                        ¢     (  At  iF                    agents  (Magara,  1980).  Thus,  applying  either  the  Wyilie
                                                           formula  or  the  acoustic  formation  factor  is  theoretically
         where  ¢  =  porosity,  Ar  =  sonic  log  value,  Ar,  =  matrix   incorrect.  According  to  Magara  (1980)  shales  tend  to
         transit  time  (67ps/ft)  and  «  =  acoustic  formation  factor   compact  under  the  general  formula:
         (2.19),  (the  figures  are  applicable  to  the  Beaufort-
         Mackenzie  Basin).                                                        (-Z)
                                                                            =
                                                                                exp
                                                                           9 =  bo  exp   ——
           However,  the  Wyllie  ‘time  average’  and  the  “acoustic
         formation  factor’  formulae  were  intended  for  sandstones.
         The  compaction  characteristics  of  shales  and  sandstones   where  ¢  =  shale  porosity,  ,  =  initial  porosity  (i.e.  Z  =  0),
         are  different,  shales  responding  essentially  to  physical   Z  =  depth  of  burial  and  C  =  decay  constant.
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