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Fluid physical properties                    61

            (pseudo)component—(pseudo)component  pairs  to achieve the best  fit between  measured
            data and predicted values. Each group of regression, such as on liquid density, can have its
            own regression tolerance.
              Typical tolerance targets for regression during PVT tuning shown in Table 3.3 are as follows:

            TABLE 3.3  Tuning target tolerances
            Density                                     +/− 1–5%
            Pressure of liquid saturation with gas      +/− 2–10%
            Gas-oil ratio or R S  (solution ratio)      +/− 1–5%
            Liquid viscosity                            +/− 5–20%


              Parameters and acceptable tolerances of the fluid characterization are also illustrated in
            section 4.7 of the Phase Behavior monograph by Whitson and Brule.
              Fluid tuning process is available in multiple commercially available software packages.
              One would normally start with the most relaxed tolerances and repeat tuning the fluid sev-
            eral times while reducing the tolerance and noting the overall errors in property prediction at
            different temperatures and pressures.
              Default value for k ij  is zero because k ij  enters the equation of state in a form (1−k ij ), so a
            default value gives a complete contribution of a given pair of components to the interaction
            energy parameter in the equation of state. Normally the values of interaction energy (a) and
            molecule size (b) are calculated from the properties of components such as critical pressure
            and critical temperature which can be measured in the laboratory and acentric factor which
            can be calculated from the molecular structure. BIPs (k ij ) provide the ability to adjust the con-
            tribution of each component's interaction energy (a).
              Besides k ij , there are also characteristic constant (kappa), volume shift parameters for den-
            sity match improvement and other methods.
              As a final resort, when tuning of the GOR or density cannot be achieved with the provided
            composition, some of the component contents may be varied by 1–5%. This variation must be
            documented in the fluid characterization report. Example component properties are shown
            in Table 3.4.


                                        Fluid physical properties


            TABLE 3.4  Component properties
            Formula  Name              Molecular weight  Density (g/L)  V (L/mol)  Melting point
                                       g/mol            at 1 atm, 15.5 °C         °C
                     Air               29               1.225          23.67      −215
                     Nitrogen          28               1.183          23.68      −210
            N 2
                     Carbon dioxide    44               1.869          23.55      −56.6
            CO 2
            H 2 S    Hydrogen sulfide  34.1             1.451          23.49      −82
                                                                                     (Continued)
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