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414    Reservoir Engineering


                          PRESSURE TRANSIENT TESTING OF OIL AND GAS WELLS

                     Production rates depend  on  the  effectiveness of  the  well  completion (skin
                   effect), the reservoir permeability, the reservoir pressure, and the drainage area.
                   Pressure  transient  analysis is  a  powerful  tool  for  determining the  reservoir
                   characteristics required to forecast production rates. Transient pressure data are
                   generated by  changing the producing rate and observing the change in pressure
                   with time. The transient period should not exceed 10% of  the previous flow or
                   shut-in period. There are a number of  methods to generate the transient data
                   available to  the reservoir engineer.
                     Single-well tests such  as buildup, falloff, drawdown, injection, and variable-
                   rate describe the isotropic reservoir adjacent to the test well while multiple well
                   tests  such as  long  term  interference  or  short  term  pulse  describe  the  char-
                   acteristics between wells. Buildup and falloff tests are most popular because the
                   zero flow rate  is  readily held  constant. Drawdown and injection tests are run
                   less frequently due to problems with maintaining a constant rate. Variable rate
                   tests  are  useful  when  wellbore  storage  is  a  problem.  Multiwell testing  for
                   characterizing anisotropic reservoirs has been popularized by  the increased use
                   of  sophisticated simulation software.

                                         Definitions and Concepts
                     Several excellent references on well test analyses are available [ 13,66,228], and
                   a good discussion of difficulties in interpretation of data is available in a recent
                   text [ 1971. From information in these references several definitions will be given,
                   and the basic concepts of well test analysis will be summarized. More advanced
                   concepts can be found in the foregoing references or in the extensive literature
                   on this  subject that has appeared in recent years.

                   Definitions

                   Transient  Region. Flow regimes that  occur at different flow times are shown
                   in Figure 5-132 for a well  flowing at a constant rate. The flowing bottomhole
                   pressure  is  shown as  a function of  time on both linear and semilog plots. In
                   the transient region, the reservoir is infinite-acting, and the flowing bottomhole
                   pressure is  a linear function of  log At.  This region is  amenable to analysis by
                   transient methods. and occurs for radial flow at flow times up to approximately
                   t = $pcr:/O.O0264k,   where field units are used t is time in hours, Q is porosity
                   as a fraction, p is viscosity in cp, c is  compressibility in psi-l, re is the external
                   radius in ft, and k  is permeability in md  [131.

                   Late-Transient  Reglon. At  the  end  of  the  transient region and prior  to  the
                   semisteady-state period,  there  is  a  transitional period  called the late-transient
                   region (see Figure 5-132). There are no simple equations that define this region,
                   but  the late-transient period may be very small or practically nonexistent.

                   Semisteady-State  Region. If  there  is  no  flow across the  drainage boundary
                   and compressibility is small and constant, a semisteady-  or pseudosteadystate region
                   is observed in which the pressure declines linearly with time (see Figure 5-132).
                   Pressures in the  drainage area decrease by  the same amount in a given time,
                   and  the  difference between reservoir  pressure  and wellbore pressure  remains
                   constant during  this  period.  For  radial  flow, semisteady-state flow conditions
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