Page 375 - Fundamentals of Gas Shale Reservoirs
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ESTIMATION OF BRINE IMBIBITION AT THE FIELD SCALE  355
                         TABLE 16.2  Parameters used for a sensitivity analysis of the total fracture–matrix interface
                         in Muskwa shale
                                            Number of stages
                                            ()
                                             n
                                        3
                         Injected volume (m )  f               Leak‐off (%)  Aperture (w)  Interface (A )
                                                                                                 cm
                         51,000                    20              10         2 prop.     1,910,000
                         51,000                    20              10         3 prop.     1,275,000
                         51,000                    20              10         4 prop.      478,000
                         51,000                    20              15         2 prop.     1,810,000
                         51,000                    20              15         3 prop.     1,200,000
                         51,000                    20              15         4 prop.      452,000
                         51,000                    20              30         2 prop.     1,490,000
                         51,000                    20              30         3 prop.      992,000
                         51,000                    20              30         4 prop.      372,000


            the arid areas, especially in the United States. For example,   where A  is the total fracture–matrix interface, V  is the
                                                                       cm
                                                                                                          inj
            the data from Natural Resources Conservation Service   total injected volume, V  is the fluid leak‐off volume dur-
                                                                                    leak
            shows that the majority of Colorado is an arid place with   ing the fracturing operation, and w is the average fracture
            the  range of rainfall less than 10 in. By considering the   aperture, which is an uncertain parameter. Fluid leak‐off
            development of fracturing operations, the demand for   volume represents how much of the injected fracturing fluid
            water is rising dramatically (Jiang, 2013). Goodwin et al.   goes into the matrix and naturally existing fractures due to
            (2014) assessed the water intensity of shale gas resources in   the high injection pressure. Rogers et al. (2010) anticipated
            Northeastern Colorado and compared it with the consump-  up to 30% of leak‐off in the Horn River Basin. The actual
            tion of water for extraction of other fuels from other energy   injected volume and the number of fracture stages related to
            sources. They concluded that the consumptive water inten-  the wells completed in the Muskwa formation are listed in
            sity (the ratio between the consumption water and the esti-  Table 16.2. By doing a sensitivity analysis, Makhanov et al.
            mated ultimate energy recovered) for shale gas development   (2014) investigated how the leak‐off volume and fracture
            is estimated to be between 1.8 and 2.7 gal/MMBtu and is   aperture influence the total fracture–matrix interface and in
            similar to that for surface coal mining. They concluded that   turn the total imbibed volume.
            flowback and produced water must be managed to minimize   Figure 16.13 shows that the amount of brine imbibed into
            the environmental and public health risks. Therefore, maxi-  the formation increases with increasing the fracture–matrix
            mizing fracturing water recovery is critical for minimizing   interface. The left vertical axis represents the actual volume
            the overall water consumption for shale gas development.   of imbibed brine into the formation. The right vertical axis
            The recovered water can be used for subsequent fracturing   represents the percentage of the injected volume that is
            operations.                                          imbibed into the formation. The horizontal axis represents
              A study of 18 multifractured horizontal wells com-  the soaking time. Fracture aperture (w) and fracture–matrix
            pleted in the Horn River Basin shows that on average only   interface (A ) are inversely proportional as described by
                                                                          cm
            25% of injected water is recovered after nearly 40 days of   Equation 16.6. As the fracture aperture decreases, the frac-
            flowback operations (Ghanbari et al., 2013). Fracturing   ture–matrix interface increases and accordingly the imbibed
            fluid loss into the shale matrix at the field scale is a strong   volume of fracturing fluid increases. Moreover, a lower
            function of the soaking time (time period between the end   leak‐off (during the fracturing operation due to differential
            of fracturing fluid injection and the beginning of the flow-  pressure) percentage results in a greater imbibition volume
            back operation), fracture–matrix interface, and fluid/rock   during the shut‐in period. High leak‐off into the formation
            properties.                                          hinders generation of large fractures. The results show that
              Makhanov et al. (2014) estimated the volume of brine   fluid loss in Muskwa formation can reach up to 40% of
            imbibed into the Muskwa shale using the material balance   injected volume after 90 days of shut‐in period.
            approach. This method assumes that the fracture volume   In a similar study, Roychaudhuri et al. (2013) estimated
            equals to the difference between the total injected volume and   the fluid loss into the Marcellus gas shales. They observed
            fluid leak‐off volume during the fracturing process. Therefore,   the effect of microfracture network embedded in the samples
            assuming the rectangular slab geometry of fractures, the   on water imbibition.  They found that water imbibition
            total fracture–matrix interface (A ) can be approximated by  increases drastically as a result of microfracture network
                                      cm
                                                                 which accelerates the imbibition process. They concluded
                                   V   V
                             A    2  inj  leak         (16.6)    that the fluid loss during hydraulic fracturing can be
                              cm
                                      w                          explained by imbibition process, and showed that decreasing
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