Page 79 - Whole Earth Geophysics An Introductory Textbook For Geologists And Geophysicists
P. 79

61                                   lower   the  critical  angle

        Techniques   a)  The  angle  of  refraction   V,,  the  angle  of   reach  90°.  Critical   energy   higher   the  angle   the  critical   Acritically  refracted   top  of  the   the  velocity  V,,  leaks  energy  back   time   for  critically   (X,).  The



        Seismic   as  the  angle  of  incidence   >   If  V,   top  part  of  the   is  called   3.25   wave,  traveling  at   upper  layer  at   distaace

        Source   3.24   increases.  b)   refraction  (8,)  can  refraction  then  occurs,  with   following  the  velocity  layer.  For  such  a  case   (6,)  of  incidence   angle  (6,).   FIGURE   layer  with   into  the   (0,).   “Wy   three  segments  (T,,T,,T;)  comprising  the  total   the  critical

        Controlled   FIGURE   in           Angle                           Critically Refracted   4)  Velocity   =>   xX      S/o  LE   ray  that  returns  to  the  surface.  b)  Travel-time  curve   beyond  the  surface  only  at  and   the  T-axis.   to



                                           Retums  to Surface  at Critical           82=)_   with  (Travels   907   fin   ae   Geometry  showing  the   a)   3.26  FIGURE  path  for  a  critically  refracted  wave. The  wave  arrives  at  refracted   of  the  curve  projection   the   is   (t,)   time  intercept
































            veloc-   if   2)   across   refraction   angle   occur  only   critical   the   lower   surface   are   the   be   path:   up

            the   interface;   the   the   how             the   waves   of   can   back                       increases  across  an
            if   increases   of   shows                    of   the   ahead   (T,)   travel   and
            1)   the   angle   when   can   called   =     top   to   refracted   wave   the   (T,);         Refracted  toward  interface,
            situations:   from   velocity   the   occurs   refraction   is   90°   to   the   at   returns   arrive  they   refracted   segments   of   layer   2   (c)



            three   away   the   if   3)   does   refraction,   that  critical   refraction   Snell’s   Law   materials:   V,  velocity   Energy   Critically   distance,   layer.   three   of   top   the  same,  and

            describes   refracted   bent;   interface.   increases,  so   critical   Note   critical   for   in   (8,)   two   sin(90°)       Vv,       with   layer.   3.25).  (Fig.   at   lower-velocity   critically   a   the   of   the   remains


           Law   tay   is   not   is   ray   the   incidence   as   necessary   the   of   —              traveling   overlying   angle   because,   upper,   for  time   each   along
           Snell's   the   the   toward   of   known   (Fig.  3.24b).   (0,)   refraction   of   velocities   sin®,       Vv,   sin8,       vi   sind,   c   wave,   the   in   critical   headwaves   the   travel   in   spent   horizontally   H   Ray  not  bent.  velocity  (a)  decreases,  (b)



       Waves   how   the  interface,   same,   the   bent   is   angle   the   situation,   90°   Fig.  3.23c.   of  incidence   angle   the   to   refracted   motions   the   at   as   only   in   that   the   the'time   (T,);   ray  when
       Seismic   illustrates   across   remains   the   ray   as   special   reaches   (6,)   in   the   relates   particle   inclined   referred   to   travel   shows   adding   1   layer   (T)).   interface.


           3.23    cases,   A   V,,  as   angle   Setting   critically   that   3.26   by   1
       3   Fig.   decreases   velocity   interface,   all   In   3.24a).   V,   >   The   (6,).   angle   excites   raypaths   waves   Fig.   through   layer   Behavior  of  refracted
       Chapter   ity   the   the   (Fig.   of  refraction   when   angle   critical   A   layer,   along   sometimes   direct   calculated   down   through   !


       60                                                                                                   Retracted  away  from   FIGURE   3.23   interface.
   74   75   76   77   78   79   80   81   82   83   84