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7                                                      ;   Inversion   h=1240m   read  from  the   Equations  that  can   s   solution.   possibility   geo-   men   and   mind
         Constraints                                             on                 a  of  direct  and  critically  refracted  waves  at     be   can   arrival.  c)   unique   one   of   interpretation   “blind   locations   in   keep




         and         Graph                                       Based                            a   to   only   interpretations   one   of  the   that   sample   to   wise
         Methods   Model   Travel-Time                         ;   Interpretation   Surface   m/s   3870   :   (7)   slope  of  the  critically  refracted   come   to   of  perceive   most   than   more   like   is   our   on   is  problem,  it


         Interpretation:      B   Inversion   b)                       d)   Earth's   g   =   V3   &          :  the  source.  b)  Two-layer  mode]  showing  parameters  that  observations  of  slopes  and  T-axis  intercept  time  (see  Chapter  4).  d)  Model  of  seismic  velocities  for  two  layers  (V,,  V2)  result  from  inserting  the  slopes  and  intercept  time  into  the  inversion  equations.   are   we   likely   can   we   that   that   say  therefore   offer   to  po







               Data                                                                    ot  Observed  seismograms  showing  times  of  arrival   time  (t,);  and   more   the   constrained   we   is   it   that   information.   interpretation   In   1.8).   (Fig.

               Refraction                                            Wave)   =   (Zhcosé  ols     a   on   so  region   all   the   density   of constraints
             a                                                         Wave)   sin"'(V,/V;)   (X)  from  arrival;  T-axis  intercept   problem,   well   interpretation;   are  “nonunique.”   means   available   of  sampling.



             Saas   Seismic                                    E,  Equations  ;   of  Direct  1Slope   of  Refracted  1/(Slope   Angle  Critical   T-Intercept  eet  =   V;t,/(2cos6¢)   a)  Inversion example.   increasing  distance   of  the  direct   thickness  of  the  upper  layer  (h),  that   have   we  straints   a   is  Rarely   subsurface   its   data  physical   Nonuniqueness   agrees  with   elephant;”   the   overall   hierarchy


               Observed   Seismograms                          lan   Inversion   Vy"   Vo   =   0,   =   t,  :   h=   1.6   seismometers  placed   observed data: slope   be  used  to  invert   for   that   and   the   a




               a)              t                                 c)                    FIGURE   and  the



                                                                                                               1  NL
                                                                   t                    ’   f


             Heat  flow  technique.   are  (T,.T>,  etc.)   a  various  depths  in   temperature  (T)  (z),  or  geothermal  gradient   thermal  of  the  function   flux  of  heat   the   and   flow,  q).  (heat   observations.   mathemati-   of  seis-   mathematical   We   layers.   into”   “plug   1.7.   Fig.   subsurface   of  lay-   tential   polenha   lose   not   in   Earth   to  hammers   In  way.   bang   When   great   a   observations,  in   con-   more







             1.5   Temperatures   at  drillhole.  The  change  in   depth   a   (k)   surface   the   uses  data; forward  modeling   result.   inversion   into   of   we   illustrated  in   the   densities   as   One   should   the   of   rock   that   be   hammer;  we   Earth.   the   learn   may   The
             FIGURE   measured   with   (@T/dz),  is   conductivity   through   geophysical   Inversion   would   that   the   from   inserted   thicknesses   courses,  when   from  résult.  Thicknesses  “computed”)  profile  and   or   del   MOee!   we   data,   properties   use   to   got   it   about   we   other   constraints.



                       Earth's   Surface                     interpret   observed?”   observed   observations   results   are   and   physics   profile  is  assumed* Calculations   ”  (“calculated,   adiusted   ae  Ge   iiera   geophysical   certain   often   how  analyze  another  type  of rock   itself.   about   much   us  observations,  however,  and evolution.  Those   are


                                                             to   used   we   from   that   parameters   velocities   and   gravity   the   ider   of   Geologists   and   tells   us   tell   not   data,
                                        dT fez               are   what   model   calculates   (model)   seismic   the   math   in   observed   an   are   would   that   predicted   might   Consimen   Bes   data.   interpret   to   used   observations   Earth.   the   there  what’s   Earth   the   technique   may   other   geophysical

                                                               caused
             FLOW   «   Drillhole       Ss                   methods   “What  subsurface   a   and  model   interpretation   of   model   inversion   of  modeling   densities   profile   the  until   we  vations;   observed   are   make   We   of  nature   see   to  respects, geopliysical  techniques  are just   what   to   with   subsurface  geology   other   and

         Introduction   H  E AT                              forward   and   we  calculate   to   subsurface   an  shows  refraction observations. Observed   a   yield   using   to   results.   yield   forward   different   gravity   the   adjusted   ob:   Peet   the   of   methods   what   objective:   interpret   the   Earth,   the   listen   and   geophysical   a   combined   is   region’s   geological
                                                               ask,




         1                                       Thermometer   inverse   case   each   equations   a   1.6   Fig.   that   accustomed   to   The   with   predict   then   are   the   Ce   interpretation   matter   the   of   to   open   Earth   Alone,   technique   a  about   of   form
         Chapter                                          Methods   Both   In   cal   assumes   mic   equations   are   formulas   Layers   model   ers   tches   PIENCDES   Constraints   No   sight   order   crack   many   the   on   that   deal   the


         6
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