Page 97 - A Practical Companion to Reservoir Stimulation
P. 97

PRACTICAL COMPANION TO RESERVOIR STIMULATION




            EXAMPLE F-8
                                                                   The slope of the straight line on Fig. F-3 is equal to 249 psi/
            Moderate-Permeability Oil Well-                      hr0.2s. Using Eq. 1 1 - 12 the kfw product can be calculated.
            Interpretation of Posttreatment Tests

            A moderate-permeability oil well (k z 2 md) flowed for 30   k,f w =  [  (44.1)(375)( 1.1)(  1.2)  1
                                                                                   (53)(249)
            days at an average rate of 375 STB/d. This was followed by a
            10-day pressure buildup test. Figure F- 1 is a summary of the    r          1
            measured rate and pressures for this test. Table F-4 contains    I                     I
            the relevant well  and reservoir data. Interpret this test and   L(0.12)( 1.2)(9x 10-6)(2) J
            calculate fracture geometry and/or conductivity variables.      = 1030md-ft.                    (F-28)

            Solution (Ref. Section 11-6)                         Since the fracture was designed for xj = 700 ft, then the F&
            As  with  all  pressure  transient  tests,  the  first  step  is  flow   can be approximated:
            regime identification through a pressure and pressbre deriva-
            tive log-log diagnostic plot. This is shown in Fig. F-2. As                                     (F-29)
            should be expected, for such a moderate-permeability (high
            by  fracture candidate standards) reservoir, the fracture con-   The latter is only an estimate since the actual fracture length
            ductivity should be low (FcD z l), and thus only bilinear flow   cannot be determined from the test.
            should be evident. This is clear on Fig. F-2. After the end of
            wellbore  storage  effects,  denoted  by  the  early-time  45"
            straight line, a  lengthy quarter-slope straight  line appears.
            This is marked on the figure. No linear flow is evident, and   k   =  2md                            I
            therefore the calculation of  fracture half-length is not pos-   fp   =  1 month
            sible for the duration of this test. (Long-term flow data may
            allow the calculation of  the fracture length  if  pseudoradial   d   =  0.12
            flow appears. This method is outlined in Section 11-8.)                                              I
              The analysis shown in Fig. F-2 leads to the specialized plot   q   =  375STBld
            shown in Fig. F-3, where the quarter-root of time is plotted   h   =  53ft                           I
            against the pressure on Cartesian coordinates. This should   ~   pwr  =  2125 psi (at At=O)
            form a straight line through the points identified on the log-log
            plot forming a quarter slope.                          ct   =  9 x   psi-'
                                                                                                                 I
                                                                 I  r,   =  0.328 ft
                                                                 I  Bo  =  1.1 resbbl/STB                        I
                                                                 Table F-4-Well  and reservoir data for Example F-8.



























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