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OIL WELL PRESSURE TRANSIENT TESTING                             229
                    TAbLE 12.1  Types of Pressure Transient Test
                    Well Type      Change in Flow Rate  Pressure Transient Test

                    Production well    Decrease        Pressure buildup
                                       Increase        Pressure drawdown
                    Injection well     Decrease        Pressure falloff
                                       Increase        Injectivity



              associated with rate changes in production and injection wells are summarized in
            Table 12.1. Wellbore pressure is lower than formation pressure in production wells.
            If the production well is shut in, the pressure in the wellbore will increase.
            The corresponding PTT is called a pressure buildup (PBU) test. If the production
            flow rate is increased, the wellbore pressure will decrease. In this case, the
            corresponding PTT is called a pressure drawdown test.
              In the case of injection wells, the wellbore pressure is higher than formation
            pressure. If the injection well is shut in, the pressure in the wellbore will decrease,
            and the corresponding PTT is called a pressure falloff test. By contrast, an injectivity
            test is run by increasing the injection rate and monitoring the associated increase in
            wellbore pressure. Injectivity tests can be run to confirm that an injection well can
            achieve a desired injection rate.
              Many transient well tests are distinguished by the way flow rate is changed.
            Flow rate can be changed incrementally or in abrupt steps. A decrease from the exist-
            ing flow rate to shut‐in is an abrupt change in rate and occurs in PBU and pressure
            falloff tests. On the other hand, incremental changes from one rate to another are
            used in gas well deliverability tests. Deliverability tests in gas wells provide
            information about the flow capacity of gas wells and are discussed later.
              Tests designed to measure the change in pressure at one well as a result of
            an incremental change in rate at another well are called pressure pulse tests or inter-
            ference tests. In this case, a change in flow rate at one well can induce a change in
            pressure at another well if the wells are in pressure communication. Pressure
              communication   between wells means that a pressure change at one well can be
            detected at another well.



            12.2  OIL WELL PRESSURE TRANSIENT TESTING

            The behavior of a pressure transient induced in the formation by a change in flow rate
            is modeled using the diffusivity equation for a single‐phase liquid in a homogeneous
            medium.  The diffusivity equation in radial coordinates is the partial differential
            equation


                                       2  p  1  p   p                     (12.1)
                                       r D 2  r D  r D  t D
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