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48    Applied Petroleum Geomechanics


           (A)                            (B)
               10000
                                             16,000
               9000    Castagna 1985         15,000   SWELL
                       Olympia Minerals      14,000   Vp wireline
               8000
              Vs (ft/sec)  7000             Vp (ft/sec)  13,000
                                             12,000
                                             11,000
               6000
               5000                          10,000
                                              9,000
               4000                           8,000
                  4000 6000 8000 10000 120001400016000  2.4  2.5  2.6  2.7  2.8  2.9
                          Vp (ft/sec)                     Rhob (g/cc)
          Figure 2.11 Compressional velocity affected by gas in the Bossier and Haynesville
          shales. (A). V p eV s plot showing V p reduction compared to the normal trend; (B). V p
          versus bulk density and the baseline of V p and bulk density in the Gulf of Mexico
          showing gas effect on V p (Zhang and Wieseneck, 2011).



          wireline logs, it shows that the measured V p eV s trend in the Bossier and
          Haynesville shales deviates from the normal trend (Eq. 2.25), as shown in
          Fig. 2.11A. That is, V p is slowed down compared to the normal V p eV s
          trend proposed by Castagna et al. (1985). This slowdown is due to the
          presence of gas in the shale as it occurs mainly in the compressional velocity,
          and because gas apparently has little impact on the shear velocity. A
          compressional velocity and bulk density plot in the Bossier and Haynesville
          shales is compared to the normal V p ebulk density trend (without hydro-
          carbon effect) in Fig. 2.11B. It again shows that V p in the Bossier and
          Haynesville shales is much slower than the normal trend of mudrocks in the
          Gulf of Mexico. Therefore, V p and bulk density relationship is also useful to
          identify gas- and oil-bearing formations.
             The slowdown in compressional velocity needs to be corrected for
          pore pressure and fracture gradient prediction and for rock property
          estimates. Given that the shear wave velocity has a small gas effect,
          compressional velocity can therefore be calculated from shear velocity to
          avoid gas effect, but the use of shear velocity where the rock is not affected
          by wellbore instability should be ensured. Using an appropriate V p eV s
          relation (e.g., Eq. 2.25), V p can be estimated from the downhole-
          measured V s . An example of the compressional transit time calculated
          from the shear transit time taken from a wireline log shows that the
          increment in the compressional transit time (i.e., slowdown in the
          compressional velocity) due to gas effect can reach 20 ms/ft (Zhang and
          Wieseneck, 2011).
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