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         59   travel-time   tak-   by   graph:   of   material   to   3.22a).   mate-   V,   '   Refraction  from  layer  of   refracted  (6,)  angles  are   om

         Techniques   a   on   determined   travel-time   material   second   second  material:   (Fig.   one   from   velocity   into   velocity  (V,)  to  one  of  velocity  (V,).  a)  Wave  fronts  are  distorted  from  perfect  spheres  as  energy  is  transmitted  into  material  of  different  velocity  (Fig.  3.15b).  Raypaths  thus  bend  (“‘refract”)  across  an  interface  where  velocity  changes.  b)  The   (6,)  and  measured  from  a  between  the  line  drawn



         Seismic   arrival   be   the   on   encounters   the   into   the   interface   the   travel   V,  velocity   Law:  Snell’s   <   3.22  FIGURE   incident   to  the  interface

         Source   the   direct   can  material   (dT./dX)   energy   transmitied   in  fronts   across   seismic  waves   of   to   V   4


         Controlled   representing             near-surface   arrival   V,   1       dT,/dx   seismic  When   may   be   wave   up   bend  raypaths   as   material   from   according      sin,   _       Oy          medium  of  refracting  medium.   V,   i   2   Vj   ‘2   Refracted   Fronts





             line         the   direct   of  the   BT   dx   V,=   Arrival   energy   velocity  speeds   fronts,   of  raypaths   traveling   refracted   are   sin@,       Wi       of  incident   Wave
             straight   therefore:   of  velocity   slope   the   of   in   wave   bending   wave   of  incidence   of  refraction   velocity   velocity


             the   is      of  the          Refracted   some   increase   to   the   a   3.22b),  raypaths
             for   3.21b)   the   that        velocity,   perpendicular   describes   For   angle   angle   seismic   seismic
             equation   (Fig.   Note   inverse   Critically   3.19).  An   another.   (Fig.   =   6,   =   0,   =   V,   =   V,



             The   graph   the   ing   that:   so   different   (Fig.   remain   Refraction   to   rial   material   where:













                                       Raypaths  for  direct,  reflected,  and  critically  refracted  waves,   from  distance  (X)  interface  separating   material  (V,)  from  velocity  (V,)  (h)  below  the  surface.   P-wave   from   the   for   to  points   to   source   3.21a).  The   divided



             compressional  wave,  interface  at  an  oblique  into  four  phases:  P  and  S   into  the  original   refracted   3.20   receiver  a   source.  The   distance   and   wave.  The   reciprocal   only   interface   developed   starting   the   from   3.20,   (X)  receiver
                    into





             A   an   back   waves   S   FIGURE   arriving  at   the   velocity   is  a   (a)  raypath   considering   horizontal   curves   as   data.   directly   (Figs.   the   (T,):
             3.19   upon   waves  reflected   the  other  medium.   curve  (b)  for  direct   derivative,  is  the   by   a   by   helpful   surface   to   receiver
             FIGURE   incident   angle,  is  split   medium:  P  and   SS   Selected   3.21  FIGURE   travel-time   slope,  or  first   (V,).  of  the  velocity   problem   the   V,,  separated   travel-time   and  Raypaths   are  arrivals  reflected   seismic  earthquake   goes   that   wave   the   to   close   very   source   the   from   the   to  directly   Xx   Ma










         Seismic  Waves                xX   —      e   ete   .  Direct                       simplifies   below  discussion   velocity   with   layer  upper   3.20).   (Fig.   and  refracted,   and  source  controlled   compressional   The  Arrival   traveling   wave   body   distance   the   is   (V,)   wave   travel   to   wave   the   takes






         3                                 el msmim isms                                     The   an   for   of  velocity  V,   critically   both   Direct   a   is   of  the   it   time
         Chapter                           Simtel                                              phases   ayer   a   direct,   interpret   receiver   a   velocity   the   by



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