Page 43 - Hydrocarbon Exploration and Production Second Edition
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30                                             Exploration Methods and Techniques


                                       reflectivity series
                                        or reflective
                     rock                               source       seismic
                    units  AI log       coefficient log  wavelet     trace






                 depth                  time          *








                                                            *
                                                        convolution

          Figure 3.12  Convolution of a re£ected seismic wave.

             Sound waves are generated at the surface (onshore) or under water (offshore) and
          travel through the earth’s subsurface. The waves are reflected back to the surface at
          the interface between two rock units where there is an appreciable change in ‘acoustic
          impedance’ (AI) across that interface. AI is the product of the density of the rock
          formation and the velocity of the wave through that particular rock (seismic velocity).
             ‘Convolution’ is the process by which a wave is modified as a result of passing
          through a filter. The earth can be thought of as a filter which acts to alter the
          waveform characteristics of the down-going wave (amplitude, phase, frequency). In
          schematic form (Figure 3.12) the earth can be represented either as an AI log in
          depth or as a series of spikes, called a reflection coefficient log or reflectivity series
          represented in the time domain. When the wave passes through the rocks its shape
          changes to produce a wiggle trace that is a function of the original source wavelet
          and the earth’s properties.
             Two attributes of the reflected signal are recorded.
            The reflection time, or travel time, is related to the depth of the interface or
            ‘reflector’ and the seismic velocity in the overburden.
            The amplitude is related to rock and fluid properties within the reflecting interval
            and various extraneous influences that need to be removed during processing.
             When a seismic wave hits an interface at normal incidence (Figure 3.13a), part
          of the energy is reflected back to the surface and part of the energy is transmitted. In
          the case of oblique incidence the angle of the incident wave equals the angle of the
          reflected wave as shown in Figure 3.13b. Again part of the energy is transmitted to
          the following layer, but this time with a changed angle of propagation. A special case
          is shown in Figure 3.13c where an abrupt discontinuity, for example the edge of a
          tilted fault block, gives rise to ‘diffractions’, radial scattering of the incident seismic
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