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STIMULATION OF HORIZONTAL WELLS




            EXAMPLE J-9                                          EXAMPLE .I-10
            Performance of a                                     Twisting Longitudinal to "ransverse Fracture
            Longitudinally Fractured Horizontal Well
                                                                 Suppose that a horizontal well is to be hydraulically fractured.
            Using the data in Table 5-8, calculate the expected productiv-   As Section 19-5.2.1 suggests, all fractures initiated from long
            ity index increase (from that of a fractured vertical well) if a   intervals  will likely be first longitudinal,  twisting later into
            horizontal  well of length equal to 2xf is longitudinally  frac-   transverse direction (if the well is drilled along the minimum
            tured.                                               horizontal stress direction). Calculate the impact of the twist-
                                                                 ing action and devise a criterion to reduce the effect.
            Solution (Ref. Section 19-6.2)
            Figure 19-23 can provide the solution to this problem. For the   Solutio6 (Ref. Sections 19-5.2.1 and 19-6)
            first case (k = 1 md),                               If a fracture initiates as perfectly orthogonal (i.e., if the entry
                                                                 point has a width equal to the fracture width), then the area of
                                                       (5-24)    contact between the well and the fracture is
                                                                                 A,  = nd,w,,               (5-25)
              Since L = 2000 ft (2xf), then L/h  = 40. From Fig.  19-23,
            (PI)H/(PI)" = 4.6.                                   where d,, is the well diameter and w, the width of the transverse
              For the second case (k = 10 md), FcD = 10, and from Fig.   fracture.
            19-23, (PI)H/(PI),,  = 1.9.                            A  longitudinal  fracture  with  two  wings  has  an  area  of
                                                                 contact
                                                                                 A/  = ~Lw,,                (5-26)
              kfw  =  1000 md-ft
                                                                 where  L is the length  of the perforated  interval and  wI the
              k   =  1 mdor10md                                  width of the longitudinal fracture.
                                                                   To develop the criterion, the two areas are set equal, and
              h   =  50ft                                   I    after rearrangement,
              Xf   =  l000ft                                I
           Table J-8-Reservoir  and fracture data for Example J-9.                                          (5-27)

                                                                 which suggests that if the perforated interval is larger than one
                                                                 and one-half times the well diameter, the width of the twisting
                                                                 fracture will be reduced substantially. For example, if L = 10
                                                                 d,, then w/ = 0.15 w,. In such a case, the choke skin effect will
                                                                 increase accordingly. In example  5-6, the (sChjc would be equal
                                                                 to (0.2/0.15) = 1.3, and the resulting flow rate (at 30 days)
                                                                 would be equal to 384 STB/d, which is a significant reduction.
                                                                   Thus, if multiple transverse  fractures are indicated, their
                                                                connection  with  the  well  must  be  minimized.  Cutting  the
                                                                casing  with  an  abrasive jet  may  be  the  most  appropriate
                                                                means for fracture initiation.



















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