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218   PASSIVE SEISMIC METHODS FOR UNCONVENTIONAL RESOURCE DEVELOPMENT


               (a)                                          Time
                                          12:02:41                            12:02:42
                 R1,XYZ
                 R2,XYZ
                 R3,XYZ
                 R4,XYZ
                 R5,XYZ
                 R6,XYZ
                 R7,XYZ
                 R8,XYZ
                 R9,XYZ
                 R10,XYZ
                 R11,XYZ
                 R12,XYZ
                 R13,XYZ
                 R14,XYZ
                 R15,XYZ
                 R16,XYZ
                               P                                                  S
               (b)                                          Time
                  1:03:30.200 1:03:30.220 1:03:30.240  1:03:30.260  1:03:30.280 1:03:30.300  1:03:30.320 1:03:30.340 1:03:30.360 1:03:30.380 1:03:30.400 1:03:30.420  1:03:30.440
                 R1,XYZ
                 R2,XYZ
                 R3,XYZ
                 R4,XYZ
                 R5,XYZ
                 R6,XYZ
                 R7,XYZ
                 R8,XYZ
                 R9,XYZ
                 R10,XYZ
                 R11,XYZ
                 R12,XYZ
                 R13,XYZ
                 R14,XYZ
                 R15,XYZ
                 R16,XYZ
                             P                                            S

            FIGURE 10.8  Seismograms of a (a) microearthquake and (b) perforation shot recorded by the downhole array shown in Figure 10.7.
            For each of the 16 receivers (R1–R16), waveforms for the three components (X, Y, and Z) are overlaid on each other. P and S wave arrivals
            are indicated with the dashed lines.


            hydraulic  fracturing  campaign  using  P‐  and  S‐wave  arrival   semblance or some other measure of activity. In this respect,
            times and back‐azimuths obtained from polarization analyses.  it resembles SET processing (Section 10.5.2).
              Another approach to locating MEQs uses reverse time   The wavefield is inspected with the two‐way wave
            migration (Fish, 2012). Reverse time imaging is a less uti­  equation around a known source location in space and time.
            lized technique for locating microseismic events, but is a   Locations where wavefields focus are identified as event
            more robust technique in the presence of noise. To overcome   hypocenters. In a constant homogenous medium, we expect
            the difficulties associated with picking P‐ and S‐wave arrivals,   the wavefield to  propagate evenly in all directions with
            automatic techniques based on reverse time imaging elimi­  respect to time,  creating a spherical wavefront. In 2Ds (X,Y;
            nate the need for arrival identification. Reverse time imaging   X,Z; or Y,Z), the wavefront propagates circularly in time. If
            is capable, in principle, of focusing microseismic energy at   we eliminate a spatial variable by inspecting the wavefield
            its source position and at its trigger time, even when data are   propagation at a fixed point in space (e.g., X = Xsource or Z
            corrupted by high levels of noise (Artman et al., 2010; Xuan   = Zsource), the wavefield propagates away from this source
            and Sava, 2010). The method relies on a grid search using   evenly in space.  When we reverse the time axis of the
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