Page 192 - Fundamentals of Gas Shale Reservoirs
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172   GEOMECHANICS OF GAS SHALES

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                                                                     1 –  3  (MPa)     40



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                                                                  –4         –2          0          2          4
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                                                                 FIGURE 8.4  A typical differential stress versus strain curve for
                                                                 a sample tested under true‐triaxial stress condition (Modified from
                                                                 Minaeian et al., 2013).


                                                                 experiment on shale samples, it is possible to obtain VTI
                                                                 mechanical  parameters  (i.e.,  Poisson’s ratio  and  Young’s
                                                                 modulus) along the lamination planes and perpendicular to
                                                                 that.  These parameters are the input to well design and
                                                                 planning when drilling in gas shales.

                                                                 8.2.3  Gas Shale Reservoir Properties under
                                                                 Ultrasonic Tests
                                                                 Velocity‐based modeling is quite a well‐known method used
                                                                 in geophysical and seismic exploration in order to charac­
                                                                 terize different properties of subsurface layers. Such applica­
                                                                 tions in gas shale reservoirs are very new; therefore limited
                                                                 knowledge is available on how gas shales may respond to
            FIGURE 8.3  View of the true‐triaxial stress cell used for advance   geophysical attributes.  The lack of adequate knowledge
            rock mechanics experiments (top) and a 100 mm sample placed in
            the cell for hydraulic fracturing test (bottom).     about  mechanical  properties  of  gas  shales,  as  explained
                                                                 before, is partly due to the difficulties associated with sample
                                                                 preservation for lab experiments. In addition to this, evalua­
            of the cell and a 100 mm sample placed in the cell before   tion of gas shale reservoirs is further complicated due to the
            closing the top lid to apply vertical stress. In this figure   anisotropic nature of shales.
            (right), the horizontal rams through which the two     With the exception of a few attempts, most of the lab test
            independent horizontal stresses are applied to the sample are   reports are on samples tested under conditions different from
            shown. The drilled hole in the sample center is connected to   their original in situ conditions. Sarout and Guéguen (2008)
            the outside of the cell using a pipe which is the path for   measured P‐ and S‐wave velocities and estimated the
            injecting the fracturing fluid, when performing a hydraulic   dynamic and static properties of shale under ultrasonic tests.
            fracturing experiment.                               However, they could not control the pore pressure during
              Figure 8.4 shows the plot of the maximum differential   deformation so the results presented by them were only
            stress (σ –σ ) versus strain for a sample tested under true‐  approximate. Josh et al. (2012) in their ultrasonic measure­
                   1
                     3
            triaxial stress conditions (Minaeian et al., 2013). In this   ments under isotropic stress conditions found that samples
            figure,  ε ,  ε , and  ε  are the strains along three principal   showed variations in velocity, and the elastic coefficients
                            3
                   1
                      2
            stresses and ε  is the volumetric strain. Through this type of   (Cij) as well as the P‐wave and S‐wave anisotropy parameters.
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