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          Waveform       Alt)          Trace   (5)  euny  poneL,  ABpp-OM   A(t)   Seismic  Trace   (s)  ews  joawsy  ABpp-omy   a  low-   Events   be   can   On  a  trace  with



          Seismic       Selsmic   i                                                     Signal-to-noise  ratio.   recognized  on  seismic  trace  with  high  low  signal-to-noise  ratio,  seismic  events   the  noise.

                          +                                                     three-layer  model  with   Input  seismic  signal.  b)  mimicking  the  input  signal   within
                                     Pe            —                                    5.29   signal-to-noise  ratio.  c)
                                                 >
                          +                      z      Noise                                     hidden
                     ss                                                                 FIGURE
                                                                                  noise.  b)  With  noise.   a)   are
                 [Rew         Reflection   ae   uh      i}                                   Lower Signal  to   Noise  Ratio



                        ;                                                                  c
                          %                                                             Traces
                Xk                                                              Convolution  of  reflection  coefficients  from  (Fig.  5.27b).  a)  Without   Seismic
                 |   WW)               Input   Signal   |                                b   High  Signal  to   Nolse  Ratio




                      Model        —                                            FIGURE 5.28  frequency  input  signal

                          x  SPSS
                a         =    NihKo PQs                                                Input Signal   a

















                    ,  appear   also   inter-   or   signal,   means   the   of                 filter     be   a   has   1976,   which
                  the
         Analysis   reflection   seismic  Other   with   5.5b)   critically  waves,   can   same   attenuate   skip   to   causing   processing   corrections   seismic   acoustic   from   to   scaled   Mathematically,   280   p.   (see   seismic  pro-   (signal-to-   to   enhancing   may  series,   component   components.   al.,   et   trace

         Waveform   seismic   The   5.17).   interfere   groundroll,  Fig.   Direct   source)   point   the   from   best  surveys   have   may   obstructions,   the   in   moveout   input   (resulting   Convolution   signal,   5.28a).   is  series   t   on  changes   of  noise   designed   are   thus   time   each   frequency   (see  Telford   seismic   a



         And    5.8,   5.5c,   processing,   arrivals.   a   from   once   Seismic   Surveys   other   introduced   normal   the   1)   5.28).   seismic   (Fig.   coefficient   time   at   t.   (Fig.  5.28b):   level   the   techniques   reflections,   ,   a   as   other   of  portion
          Processing,   Processing   and   (Figs.   or   as   to  referred   reflected   radiating   5.12a).   than   more   5.19).   continuous.   or  rivers   be   also   poor   or   as  viewed   series   time   (Fig.   input   the   coefficient   A(t)   =   t   time   at   coefficient   time   at   trace   trace  seismic   =A)   N(t)   t.   see  stratigraphic   to   processing   primary   from   Trace   represented   components;   to   Fourier  series   the



          Acquisition,   Acquisition   reflections   acquisition   by   (also   the  across   (energy   (Fig.   reflected   5.18,   5.17,   and   highways,   can   Noise   data.   over-migration   be   can   trace   coefficient   superimposed   with   reflection   reflection   a   with   RC(t)   *   I(t)   signal   input   operator   reflection   seismic   convolved   +   RC(t)]   *   time   at   noise   to  ability  of  reflections,  relative   and   resulting   Seismic   of   trace




          Reflection:   Seismic   primary  image   introduced   waves  Rayleigh   cutting   diffractions   reflections   as   (energy   5.8b,   (Figs.   straight   are   buildings,   recorded   like   seismic   reflection   noise   3)   with   coefficient   the   of   signal   1995):   of  the   convolution   of  the   of  the   the   to   [1(t)   of  the   The   Ratio   amplitude   Acquisition   signals   Components   a   like   sine   of   degree   expressed   be   1995,  Geldart,



          Seismic   by  Induced   to  attempts   phenomena   reflections.   events   and   waves,   time   same   reflections   interfere   lines  survey   with   areas   the   in   factors  through   Trace   A  Convolution   a   2)   with   changes),   reflection   each   polarity   and   input   an   of   Geldart,   =  amplitude   I(t)   *  =   amplitude   =   amplitude   =   A(t)   algebraically   amplitude   =   Noise   to   the   on   5.29).   Fig.   keeping   while   ratio.   P



          Chapter5   Noise   method   or  events,   primary   low-frequency   refracted   the   at   arrive   Multiple   also   face)   when   noise   around   go   bends   or   gaps   data,   of   5.10).   (Fig.   Seismic   convolved   impedance   replacing   amplitude   convolution   Sheriff  and   where:   RC(t)   adds  Noise   where:   N(t)   Signal   depends   files   ratio,   noise   noise   out   signal-to-noise   the   and  Frequency   continuous   A   expressed   certain   c



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