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94   PORE GEOMETRY IN GAS SHALE RESERVOIRS


                     (a)                                       (b)























            FIGurE 5.5  (a) Image from FIB–SEM showing the platinum coating (rectangular section) (b) Image showing the rough cut of the trench.

                                                                 thresholding process that utilizes two coefficients, T  and T
                Image        Quanti cation       Porosity                                                 0     1
               acquisition                                       (Prodanovic et al., 2006), lower and higher attenuation,
                                                                 respectively. Also,  T  and  T  values would correspond to
                                                                                  0     1
                                                                 phase one or phase two. Once the image is segmented, image
                                               Surface area
                Export          Image                            analysis can be done.
                images       reconstruction                        Porosity can be determined directly from the segmented
                                               Pore volume       image, counting the sum of the segmented voxels of the pore
                                                                 space divided by the total image volume (Al‐Raoush and
                Image        Segmentation         Other          Willson, 2005):
               alignment                        parameters
                                                                                   V
             FIGurE 5.6  Flowchart of general image analysis procedures.            segmented pores  100%    (5.6)
                                                                                    V
                                                                                     totalimage
            the debris around the surface to be imaged. The final cut
            was performed at 30 kV and 0.93 pA energy beam to pro­  The pore surface area is found by counting the number of
            vide a fine clean cut. The milling process for a 10 × 10 × 7   surface voxels between void and solid in each element. The
            µm specimen size was carried out at an energy beam of   slice of the CT image would be made up of voxels, that is,
            2 kV and 1.4 nA using back‐scattered electrons. The FIB–  volume elements; hence, the volume can be determined by
            SEM image acquisitions and pore size analysis focus on a   counting the void blocks. In other words, the number of
            small volume area of the sample that is not necessarily   voxels belonging to the body can be calculated as the sum
            representative of the core plug results from laboratory   of 2D areas multiplied by the Z spacing, in image analysis
            methods.                                             software (Boudier, 2014). The 3D sphericity of an object
              The general steps involved in pore space image analysis   can be assumed being extension of 2D circularity, and can
            from FIB–SEM are illustrated in Figure 5.6. Filtering (Talabi   be determined from the ratio of volume over area.  The
            et al., 2008) is applied to the sample to improve the image   sphericity, as well as the circularity, is maximal and equals
            quality and to reduce noise. Image cutting removes any   1 for a sphere:
            surface patches along with the outer edges of the sample for
            the analysis that might have been mishandled. The objective             3  36   V 2
            of segmentation is to simplify and/or alter the representation         S      A 3                (5.7)
            of an image, to make it more meaningful and easier to analyse.
            The process involves converting a gray‐scale image to a binary   where S is the sphericity, V is the volume, and A is the area.
            image composed of two types  of pixels: black  and white   In image analysis, shape factor—a dimensionless
            (Dougherty and Lotufo, 2003) by categorizing two popula­  quantity—is determined to describe the shape of the
            tions based on the intensity (i.e., dividing the images into two   element (independent of its size). The measure signifies the
            phases, pores and solid phase). Segmentation is achieved by a   degree of deviation from an ideal shape, that is, for pore
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