Page 274 - Whole Earth Geophysics An Introductory Textbook For Geologists And Geophysicists
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the
        Airy  isostatic  model  of 2
           that
                                                        from
                 (—0.43  g/cm’).
          Densities  of
               g/cm*)  and
    257
                                                                             km)
             for  the
            are  simplified  so
                                                         determined
                                                                             47.42
    Modeling
             reasonable  contrasts  result
               topography  vs.  air  (+2.67
          km  high  mountain  range.
                                                                             =

                                                               Mountains
                 mantle
                                                                     (hs
                                                                             depth
                                                                  e(he)  a
            and  mantle
                                                         be
    Gravity
                 vs.
        8.36
                                                                             (Moho
                                                         can
                 root
        FIGURE
                                                         unknowns
                 crustal
                                            km
                                                                     =
            crust
                                                                         unknowns yields:
                                                                             km |

                                            35
                                              ?
                                                                  Pm(n)
                                                      ?
                                                                     ha
                                              =
                                            =
                                                      =
                            400

                           T
                                       Crust:
                                                               Continent
                                                           equilibrium:
                                              column
                                                                             49.42
                        glee)
                                            mountains
                                                      mountains
             =2km
                                                         two
                                          km
                                   g/cm’.
                                                                     (hJc+t
                                                                  +
                        Mantle
                           t
                                       Continental
                                                         the
                                          2
                                                                  Phe
                                                                             =
                        (og  3.1
             7ope
                                          =
                                               mantle
                                                                              (h.)s,
                                                         model,
                           ‘
                                           column
                                   3.1
                                                               Normal
                                                                         two
                                             outside
                                                      at
                                                           isostatic
                                   =
                                                                  +
                                                                     +
                                                      crust
                           T
                                               extra
                                                                         the
                                                   Mountains:
                                   mantle
                                                                  —_p,(h,)
                                                         margin
             (h,  dm  49.42  km
                                       Normal
                                                                     h,  a
                                           air
            Mountains
               .  =
                                                                         for
                                             crust
                                                      total
                                                                              and
                           T
                                               the
                                                           local
                                           the
          e
                                                                          equations
                        z
                                   the
                             Okm
                                                         passive
                                                      of
                                             of
                                           of
                                                                      Equal Thickness:
                                               of
                                       the
                           T
                                                                  Pressure:
                                                           for
                        \f
                                   of
                                                      thickness
                                               thickness
                                           thickness
                                                   the
                                             thickness

                                                                              km
                                       at
                                    density
                                                           conditions
                                                   Thickness  at
                           Tt
                                                         the
                                       Thicknesses
               .
                                                                          two
                                                                              12.42
                                                         with
                                                                   Equal
                           T
                        emectsimamnaes
                                                                          the
                                                      =
                                    =
                        12.42  km
            Continent
              =35km
                                                                              =
                                                      (hy,
                                           h,
                                               h  m
                                    Pa
                                             (he
         No. rma. /
                                                         As
                                                                          Solving
                                                           two
                                                                              h,,
                           tT
          ;
                                                           the
                           Tt
                        hy=
              (heJe
                             -400
                         os
                           604
               0
                                                                       *
                                     preeray
                                                                          a7
               Ass? 18S  RES  BA  HERE  SR  Me SRN
   *
        Sage
                                                                                the                       mountains   the   of  topography   to   due  anomaly  free-air   the   to  contribution   The   the   (+Am). This   level   sea   above  material   the   of  excess   mass   the   from  results  8.37a)   (Fig.   deep-   the   times   h,)   to   (equal   height  mountain   the   of  product   the   of  function   a   is   excess   that,   Note  g/cm>).   +2.67   =   Py   —   p,





                          East                             3   150   The  the  ocean.   of  the  Carolina   129-1520   Isa,   beneath   image   of   with   (Figs.   to  relative   its weight   mountain   modified
             Air Anomaly                                       two-dimensional   the   low  over   deepens  abruptly.   and  evolution   Memoir.  no.  34.  pp.   Tulsa  POl0: gists,   Geol   shallows   mirror   a   correlates   thus   orogenesis   buoyancy   until  grows   The   parameters   to
                   *
             Free                                              from  calculated   the  continent,  the   water  column   the   AAPG   Petroleum   as  mantle   the   somewhat   is   anomaly   thickens   during   to   due   its   topography  (+Am)   root  (—Am).   tding  accordi
                                                         §   Observed  free  air  gravity  anomaly from  the  passive  continental  margin  off the  Atlantic   toward   shelf,  where  Carolina.  From  “Deep  structure   B.  Swift,   ociation  of   values   anomaly   in   the   crust   force,   low-density   equilibrium,   g/em?
                                                         S     anomaly   the   high   American  Associa   increase   the   2.67
     Isostasy   :   Observed   Calculated                      is   line   4    positive   Bouguer   the   continental   upward   model,   the   of   isostatic q   0   =   =   crust
    and              --                                          the  edge  effect.  with  the  near  the  edge  of  the  continental   Hatteras,  North  Hutchinson,  J.  Grow.  K.  Klitgord,  and   permission  of  the   to   large   the   bathymetry);   As   root exerts   the   Airy   effect   Airy   air   the
    Gravity        —                                           United  States.  The  dashed   S'   increasing   form   of   water.   Range   By   the   is   in   density of the   of  density
                                                           150      off  Cape   with   the   (or   crustal   mantle.   8.36)   Bt
    o                                                                                 the   Mountain   (Fig.   Densities:   =   =
                                                           i   8.35   D.   Redrawa   Ww   Moho,   3)   the   p,   Pp.
    Vilaplel   100   3   0                              40.   FIGURE   coast  of the  density  model.  Note   zero  crossing  is   IPOD   Trough,”   by   .   the   ocean;   topography   of   ening   7   6.35),   rounding   sai  tfe   model Pig   Tae
    “vy         2                                                   Line   1  983.                                    TSE
                                                                                                                      IT SSE
                                                                                                                      PO
                                                                                                                      Lr
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