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values  for  elastic   seismic  velocities   according  to   (1982)  units  for  desiaty  are


        51         from  Kinsler  et  al.   kg/m?;  the  literature,  however,  commonly   rigidity   propaga-   become   compiled   high-   crustal   materi-   diffi-   is   ranges   how-   sediments,   high-   the   as   distur-   shows   for   elliptical

        Elastic  Waves   Typical   3.9  Constants,  density, and  listed  materials,  increasing  compressional  wave  velocity   Otties  ources  SI   gives  densities  in  g/cm’.   of   Lack   no   in   generally   were   curves   for   for  velocities   it   that   wide   the   clear,   is   It   and   crust,   such   Earth,  the   3.12   Fig.   motions   wave   retrograde


            FIGURE   for  selected   (V,).  Compiled   and              travel,   results   velocity.   3.10)   superimposed   seismic  velocity   illustrate   because   1976).   unconsolidated   of  the   boundary,   of  the   depth.   body

                                                                Hh      P-wave   and   materials   (Fig.   of  the   and  limestone,  quartz,  granite).   wave   chart   al.,   et   for   rocks   free   a   shell   with   with   have  waves
                SEISMIC   VELOCITIES      km  fs   Shear   |  Compres.   Wave   Wave   |   v)   0   =   0   15   23   3.2   2.6   3.6   2.6   43   2.9   47   5.0   29   3.8   57   29   6.7   42   84       supporting   velocities  P-wave   the   list   the   increasing   with   dense   density   vs.  velocity   portions   solid   density  between   ranges  of  compressional   the   on   values   information,  velocity   of  Telford   4.22   lowest  generally   crystalline   for   mant







                   ;   kg/m      Jom?      9   Denstty   (e)   1.0      0.001   .       1.0       aS   O82       A       =      an       27       a   2600      56   ~~            0),   #   (k   low   to  contributes   down  Going   0).   =   more   and   ,.)   S-wave   and   P-   Fig.  3.9. The   in   relationship  (shale,  sandstone,  salt,   common   surface.  The  Earth’s   on   only  based   Fig.   also   (see  overlaps   velocities   are   higher  rocks,  still   in  formed   th




                ELASTIC   CONSTANTS      N/m?   10°   Shear   Bulk   Modulus   }|  Modulus   )   )      0.0001   :   0      0   22      49   3.0      17   8.8      17   24      18   24      22   38      39   33      22   88      58   139            compression   to  resistance   fluids   the   in   0)   =   S-waves   of   (V,   and   k  (higher  stronger   of  graphs   The   information   the   from   linear  crudely   the   light   minerals   and   rocks   presents   3.11   Fig.   a











                             Ai   ir   Water   Ice   Shale   Sandstone   Salt   Limestone   Quarts   Granite   Peridotite       (yw   tion   als   cult   est   Surface   the




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                                                                     >

             a     waves   and     the   or                        same   The   the   the   lack   air,   the   core,   in   com-   both   even   more   than   con-   to   and   some
             dilated;   of  propa-   “Qn   or  waves,  “S”   seismo]-  In  ce   “speed,   on   resistant   the   2)   seismic   of   part   than   0).  This   like   through   outer   increase   better   rocks,   density.  As   and   more   becomes   fluid   melt)   therefore   down-   have

             then   direction   ”   direction.   or   depend   more   incompressibility   by:   For   1)   waves.   example,   mantle   .)  (higher   =   (y.   fluids,   slower   fluid   an   to   are   increasing   for   and   increase   rock   a   less   partial   waves   lithosphere,   listed   water)

             compressed   the   to   “  “secondary”   compressional   and   component,   velocities   material.  The   given   are       generalizations.   compressional   For   the   rigid   through   travel   (the   lead   materials   incompressible,   true   velocity   incompressible   space,   has   and   (or  liquid   Seismic   mantle   substances,   and   (air



             is    as   initial    seismic   material’s   +  2p  2p   p   velocities.   into   more   shear  strength   travel   waves   material   generally   As   commonly   between   more   commonly   pore   lithified   from   V..   the   various
             air   air.   to   motions.   magnitude   magnitude   the   the   velocities   pe   is   is     and   to   fluids
             the   the   perpendicular   the   of   rc               than   wave   asthenosphere   no   cannat   same   core)...   Earth.   and   2)   decreasing   more   Vp   for
             as   in   referred   after   particle   both   the   to   material,   (p)   greater   wave      _   =             [u   p          wave   following   slower   S   and   lithosphere   have   waves   compressional   the   inner   following  factors   the   rigid   generalization   relationship   become   and   (k   Change   both   asthenosphere   velocity.  The
             propagates   changes   are   wave   also   are   earthquake   their   with   refer   to   implied.   unbounded   density   and   the   is,   Body   4Bm   fet   fet aBu   p   compressional   wave.   the   to   travel   P   the   the   from   mantle   or  gasses)   shear   b)   of   state   the  solid   within   more   inverse   generally   constants   With   generally   is   4)   wp.   and   raising   the   core.   properties



             sound   density   shear   a   waves   an   of   vector,   a   used   v)   and   (that   travel.   =   y,  p=   shear   lead   always   higher   travel   the   (liquids   a)   and   core;   solid   the   than   the   that   depth   become   This  density.   an   they   elastic   Decreasing  porosity.   it   time,   k   both   increases,   from   inner   physical   P-wave
        Waves   The   the  senses   for   Shear   from   because   to  refers   commonly   necessarily   isotropic,   E   4,   deformation   waves   the   of  the   the   of   equations   will   the   they   that   Fluids   things:   outer   through   lower  V>   suggest   Increasing   they   in   show   dense,   same   (yw)   traveling   the   to   typical   increasing

        Seismic   through air.   eardrum   motions   3.8b).   arrive   they   “transverse”  waves   Waves   Body   velocity   yee  is   not   elastic,   an   (k,  constants   to   is   faster   velocity   =   velocity   =   velocity   waves   shear   material,   the   as   up  lithosphere,  suggesting   3)   two  means   Earth’s   than   Observations   1)  velocity.   cemented,   Increase   equations   more   corresponding   3)   (p).   the   At   increasing   rigidity   while   core



        Chapter3   traveling   person’s   Particle   :   (Fig.  gation   because   as   of   The  form  “velocity”   ogy   direction   with   For   elastic   the  material   rigidity),  the   and:   where:   Vp   V,   The   material,   rigid   more   speed  waves   asthenosphere.   rigidity   of   and  water   state   liquid   example,  has   for   seismic   and  pacted   p.  2)   and   k   the  though   become   rocks   the   rigid;   density   the   dense.   more   thereby   tent,
                             term



        50                Velocity
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