Page 69 - A Practical Companion to Reservoir Stimulation
P. 69

DESIGN AND MODELING  OF PROPPED FRACTURES




            EXAMPLE  E-5
            Calculation of Width Using a Non-Newtonian Fluid       Substituting the given variables in  Table E-3, Eq. E-17
                                                                 results in
            Calculate the width of a hydraulic fracture using the reservoir   =  12 [( 13.59) (1.75) (3.33)0'75
            variables  in  Table  E-3  but  with  a  fracturing  fluid  with   w,,,
            K'=6x lo-'  Ibf sec"'/ft*and n'=0.75.
                                                                         (0.0068) (0.0935)  0.75 ] o.286
            Solution (Ref. Section 3-3.4.3)
            The maximum fracture width calculated for a non-Newtonian
            fluid is given by  Eqs. 3-72 and 3-62. In  the units given in
            Table E-3, Eqs. 3-72 and 3-62 yield


                                                                       = 0.4in.                             (E- 18)
                                                                 The average width would be multiplied by 0.59, as in Example
                                                                 E-4; i.e., w = 0.24 in.
                                      I







                                                      (E- 17)


           where the width is in inches.










































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