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                                                    Bilinear flow:
                                      Fracture
                                      linear flow:



                                                         Pseudo-radial flow
                                      Reservoir linear flow




                          Figure 17.13 Four flow regimes that can occur in hydraulically fractured reservoirs.


                The bilinear flow regime means two linear flows occur  17.6.3 Other evaluation techniques
               simultaneously. One flow is a linear flow within the frac-  In addition to the pressure-matching and pressure buildup
               ture and the other is a linear flow in the formation toward  data analyses, other techniques can be used to verify the
               the fracture. Bilinear flow analysis gives an estimate of  fracture profile created during a fracpack operation. These
               fracture length and conductivity. A calculated pressure  techniques include (1) pumping radioactive materials in
               distribution during a bilinear flow is illustrated in  the proppant stages and running tracer logs to verify the
               Fig. 17.2 (Guo and Schechter, 1999).      fracture heights, (2) running production logging tools to
                The formation linear flow toward the fracture occurs  determine the production profiles, and (3) conducting
               after the bilinear flow. Linear flow analysis yields an esti-  back-pressure and performing Nodal analysis to verify
               mate of formation permeability in the direction perpen-  the well deliverability.
               dicular to the fracture face. If the test time is long enough
               and there is no boundary effect, a system pseudo-radial
               flow will eventually occur. Pseudo-radial flow analysis  Summary
               provides an estimate of formation permeability in the
                                                         This chapter presents a brief description of hydraulic frac-
               radial direction. The reader is referred to Chapter 15 for  turing treatments covering formation fracturing pressure,
               analysis and interpretation of pressure transient data.  fracture geometry, productivity of fractured wells,
                It is important to note that by nomeansdoes the pressure-  hydraulic fracturing design, and post-frac evaluation.
               match procedure and the pressure transient data analysis  More in-depth discussions can be found from Economides
               give details of the fracture geometry such as fracture width  et al. (1994) and Economides and Nolte (2000).
               near the wellbore, which frequently dominates the post-
               treatment well performance. The fracture width near the
               wellbore can be significantly lower than that in the region
               away from the wellbore.This can occur becauseof a number  References
               of mishaps. Overdisplacement of proppant leads to the frac-  argawal, r.g., carter, r.d., and pollock, c.b.
               ture unsupported near the wellbore, resulting in fracture  Evaluation and prediction of performance of low-
               closure. Fluid backflow reduces the amount of proppant  permeability gas wells stimulated by massive hydraulic
               near the wellbore, which results in less fracture width sup-  fracturing.  JPT  March  1979,  Trans.  AIME
               ported. If the proppant grains do not have compressive  1979;267:362–372.
               strength to withstand the stress concentration in the near-
               wellboreregion,theywillbecrushedduringfractureclosure,  barree, r.d. A practical numerical simulator for three
               resulting in tight fracture near the wellbore. The reduced  dimensional fracture propagation in heterogeneous
               fracture width near the wellbore affects well productivity  media. Proceedings of the Reservoir Simulation Sym-
               because of the fracture choking effect. Post-treatment flow  posium, San Francisco, CA, 403-411 Nov. 1983. SPE
               tests should be run to verify well performance.  12273.
                The effect of near-wellbore fracture geometry on post-  burton, r.c., davis, e.r., hodge, r.m., stomp, r.j., palthe,
               treatment well production is of special significance in  p.w., and saldungaray, p. Innovative completion
               deviated and horizontal wells (Chen and Economides,
                                                           design and well performance evaluation for effective
               1999). This is because a fracture from an arbitrarily
                                                           Frac-packing of long intervals: a case study from the
               oriented well ‘‘cuts’’ the wellbore at an angle, thereby
                                                           West Natuna Sea, Indonesia. Presented at the SPE
               limiting the communication between the wellbore and the
                                                           International Petroleum Conference and Exhibition
               reservoir. This feature of fluid entry to the wellbore itself
               causes the fracture-choking effect, even though the near-  held 10–12 February 2002, in Villahermosa, Mexico.
               wellbore fracture is perfectly propped. Certainly, a hori-  Paper SPE 74351.
               zontal well in the longitudinal to the fracture direction and  chen, z. and economides, m.j. Effect of near-wellbore
               using 180-degree perforation phasing that can be oriented  fracture geometry on fracture execution and post-treat-
               will eliminate the problem. However, to align the horizon-  ment well production of deviated and horizontal wells.
               tal wellbore in the longitudinal to the fracture direction,  SPE Prod. Facilities August 1999.
               the horizontal wellbore has to be drilled in the direction  cinco-ley, h. and samaniego, f. Transient pressure
               parallel to the maximum horizontal stress direction. The
               orientation of the stress can be obtained by running tests in  analysis for fractured wells. J. Petroleum Technol.
               a vertical pilot hole of the horizontal well. Special log  September 1981.
               imaging (e.g., FMI and FMS) can be run in combination  cleary,  m.p.  Comprehensive  design  formulae  for
               with an injection test at small-rate MDT or large-scale  hydraulic fracturing. Presented at the SPE Annual
               minifrac to fracture the formation and read directly the  Technology Conference held in Dallas, Texas, Septem-
               image in the wellbore after the fracture has been created.  ber 1980. SPE 9259.
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