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52                                        Intelligent Digital Oil and Gas Fields


                     Not applied to all fluids. Depend on fluid properties, pressure, temperature and separators efficiency
               100
                                                               Annular

                                   Bubble
             Superficial liquid velocity (m/s)  1.0  Plug k = 10  k= 1.0  Wave  Mist
                10
                                     Slug








               0.1


                      Stratified       k= 0.10
              0.01
                 0.01        0.1         1.0         10         100
                                   Superficial gas velocity (m/s)
          Fig. 2.7 A cross-plot in Y-axis with superficial liquid velocity versus superficial gas veloc-
          ity. The figure shows the different patterns generated in a horizontal pipe. Additionally,
          relative slip velocity is shown with a straight line between k¼10, 1.0, and 0.1. This chart
          cannot be applied to all fluids; there is a specific chart that depends on fluid properties,
          pressure, temperature, and separator efficiency. (Image courtesy of the Norwegian Soci-
          ety for Oil and Gas Measurement and The Norwegian Society of Chartered Technical and
          Scientific Professionals, 2005. Handbook of Multiphase Flow Metering, second ed. Oslo,
          Norway.)

             separated clearly. Several parameters are used to distinguish between
             single- and multiphase flows. After flow rate, one of the most imprecise
             properties to be measured is the fraction of gas, oil, and water in a hor-
             izontal pipe. Graham (2014) described that the fraction of gas occupied
             in a pipe is called the gas void factor (e g ), which has been one of the main
             factors to consider for flowmeter design. In fluid dynamics, production
             engineers use three parameters to distinguish between single- and
             multiphase flows, such as the gas void fraction, GVF, and multiphase
             parameters, as described below:
             2 The first calculation is gas void fraction (e g ), which is calculated using
                 the area of the pipe occupied by gas divided by the total cross-
                 sectional area of the pipe (Fig. 2.8). The e g method assumes that
                 the fluids flow at a low velocity (laminar) and that gas and liquid
                 travel at different velocities. When e g is higher than 0.70, it is con-
                 sidered gas single phase (dry gas or wet gas), a value of between 0.4
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