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air
       229   gravity   center.   in   (M   been   look   rela-   deficiency;   of  because   datum.   tending   mass   infinite   attrac-   form  of  free

       Anomalies   the   back   Earth’s   variations   have  Fig.  8.5)   might  anomalies   shows  anomaly   mass   station   sea-level   mass,   extra   the   of   an   as   mass   8.8b).  The   General  gravity  anomaly  profile  across  areas  of  mass  excess  and  mass  deficiency.



       Gravity   puts  (FAC)   to   (R)  radius   mass  /ateral   in   AR   and   air   the   that   the   near   features.   to  station   the   and   have   attraction   the   (Fig.  station   m.   in   8.7  FIGURE


           correction   increased   of   (@   effects   free  changing   Notice   readings   topographic   from   vary   points   would   areas   gravitational   approximating   the   of   elevation).   kg/m*);h   Datum   Mass   Deficiency



           air   function   of   mass.   low   sharp   can   observation   the   for   by   elevation   2npGh   Constant   0.0419ph   (10°   /   !   Level
           free   the   for   a   is   elevation   excess,   mimic   mountainous   done   =   (station   yields:   =   g/cm?
           the      profile   deficient   mass   the   accounts   is   the   BC   slab   27   BC   in   p   Air Anomaly   i.   Stations  ae   be   Sea
           adding   correcting   anomaly   and   a   what   and   the   that   corrections,  gravity   lével,   8.8a).   to   slab   Gravitational   the   and   m/s?);   ‘.   Bec,


           2)   gravity   latitude   shows   of  excess   near   changes   between   sea   (Fig.   correction   datum.  This   equal   (h)   Bouguer  correction   of  the   of   G   of   (107°   The  Nagin,
           Earth;  and   elevation,  thereby   air   the   8.7   bodies   readings   abrupt   Anomaly   elevation   mass   near   areas   gravity   Bouguer   sea-level   thickness   is:   slab   density   Universal   thickness   values   the   mGal   in   \ _-— Free   ot   i"   Nao   .



           of  the   free   The   because   8.5),   Fig.   across   high   also   are   Gravity   after   in   to   the  increase   The   the   with   a  of  such   =   BC   p  =   G =   h =   Substituting   is   BC   /   2"

           bulge   to   lost   Fig.   corrected.   like   tively   there   Even   differences   Relative   above   slab,   tion   where:   where   e
                              Bouguer   to                                              /




                                                                                   fepw







                                         Center  of  Earth   at  than  a  station   meters  above   h   from   Gal.   readings   stations   observed   latitude   from   and





                                     .                 acceleration  decreases  by  about  0.308  mGal   point,  elevated   upward   |  about   for   the   the   (g,)   spin   the
                                         Sl              acceleration  (g)   observation   feet)   10   by  decreases   gravity   lower   observations   to   back   (m).  datum   for  corrected   station.   gravity  theoretical   for  accounting





                                           (0.308 mGal/m)   Datum   lower  gravitational   a   have   radius  to  an   (about   m   3  every   gravity   to   have  therefore   gravity  compare   added   be   must   mGal/m)   level   sea   a   gravity,  observed   FAC   +   8,       the   at  observed   the  subtracting   thus  /atitude,





                                           = h  x   ee   Level  from  Earth’s  surface,  gravitational   to   tends   extended   the   for   that,   due  acceleration   level   sea   To  8.6b).   correction   (0.308   X   h   (s72Gal)   above   the   is       -   =      anomaly   acceleration   1)   the   for


       Isostasy   =—4R                     FAC       Sea   high  elevation   accounts  for   illustrates   above   (Fig.   air   free   =   FAC   correction   the  station   of   anomaly   Agy       that:   corrects

       and    Observation Point                          at   (FAC)   equation   the  Earth,   high   level   a   air   station:   gravity   air   gravitational   equation   (g)
       Gravity                                          Rising  upward   gravity  station   air  correction   above   the   of   elevations   sea   near   elevations,   8.6c).   free   elevation   =   h   air  gravity   the   of   free   =   =   g   above   the   gravity



       Chapter8   =Ri-                                  Free  air  correction.  a)   meter  of  height.  b)  A   free   The   surface   the   at  Stations   those   than   different   with   (Fig.   values   where:   FAC  =   The  free   elevation   and   where:   Ag,,   in  Notice   observed   the




       228    ices   AR   * 980,625 mGal   6,367,000   m   = dg/dR   AQ/AR   8.6   lower  elevation.  c)  The   level  datum.

              a     g,   =   R,                      =   FIGURE   for  every   a  sea
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