Page 88 - Handbook of Natural Gas Transmission and Processing Principles and Practices
P. 88

in equilibrium with a bubble of gas, the composition of which is   . A dew point is a 2-phase
               system of known gas-phase composition:     in equilibrium with a drop of liquid having the
               composition   .
                 Specifying the composition of one of the two equilibrium phases is equivalent to specify
               independent variables. Because the dof is equal to p, another intensive phase variable must also be
               specified to make Eq. (2.12) solvable. This can be, e.g., the pressure P or the temperature T.
                 To sum up, a bubble-point calculation can be performed by specifying the   intensive phase
               variables:







                                                                                                  (2.16)




                 In such a case, the    unknowns are   (     unknowns),      , and    , determined by
               solving Eq. (2.12). Once done, the bubble pressure is estimated by application of the EoS:
                                  .
                 Similarly, a dew point calculation can be performed by specifying:








                                                                                                  (2.17)



                 The        unknowns are            . Once determined, the dew pressure is obtained from the
               equation                .
                 As previously discussed, at a fixed temperature, two dew-point pressures may exist (retrograde
               condensation phenomenon). In such a case, the system of equations to solve (Eq. 2.12) will exhibit 2
               sets of solutions. As another difficulty, at the maxcondentherm, the dew curve exhibits a vertical
               tangent in the P-T plane (Fig. 2.8B). As a consequence, in this area, a small change in the specified
               temperature value causes a high variation in the calculated dew point pressure. In such a case, it is
               advised to specify the pressure instead of the temperature so that the specified variables become:








                                                                                                  (2.18)



                 The        equations to solve are:








                                                                                                  (2.19)







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