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         378 CHARACTERIZATION AND PROPERTIES OF PETROLEUM FRACTIONS
                         TABLE 9.8—Evaluation of three types of additives for asphaltene removal on a rock surface [37].
                                                              Removal efficiency (wt% of adsorbed asphaltene)
                                                                        for different additives
                      Additive wt% in solvent  Time, h       Additive A     Additive B      Additive C
                      0.1                        1            40.5            14.0             2.7
                      0.1                       18            48.9            21.4             6.0
                      2.0                        1            49.9            32.9             8.9
                      2.0                       18            51.5            46.0            10.1
         are in the bulk state; on the contrary, the asphaltene up-take  example, Kawanaka et al. [30] used a thermodynamic ap-
         by toluene is very low (10–20 wt%) when the same material  proach to study the phase behavior and deposition region in
         is adsorbed on a rock surface (clays, dolomia, quartz, etc.),  CO 2 –crude mixtures at different pressures, temperatures, and
         as experienced by Piro et al. [37]. For this reason, they used  compositions. In the next few sections, thermodynamic mod-
         additives dissolved in toluene for asphaltenes’ removal when  els for solid formation are presented to calculate the onset
         they are adsorbed on rock surface. Three types of additives  and amount of solid precipitation.
         were evaluated: additive A was based on alkyl benzene sul-  For the same tank oil shown in Table 9.9, Pan and
         fonic acid (ABSA); additive B was based on complex poly-  Firoozabai [20] used their thermodynamic model based on
         mer; additive C was based on another complex polymer. As-  micellar theory of asphaltene formation to calculate asphal-
         phaltic materials were obtained from a crude oil of 42 API  tene precipitation for various solvents. Their data are shown
         gravity by precipitation with n-heptane. The rock on which  in Fig. 9.12, where amount of precipitation is shown versus
         asphaltenes were adsorbed was powdered dolomite (average  dilution ratio. The dilution ratio (shown by R S ) represents
                                                                           3
                                              2
         particle size of 60 μm and surface area of 10 m /g) and toluene  volume (in cm ) of solvent added to each gram of crude oil.
         was employed as solvent for the additives. Experiments were  The amount of precipitated resin under the same conditions
         conducted to study the effect of different types of additives,  is also shown in this figure. The onset of asphaltene forma-
         concentration level, and time on the amount of asphaltenes  tion is clearly shown at the point where amount of precipita-
         up-take. A summary of results of experiments is given in  tion does not change with a further increase in solvent-to-oil
         Table 9.8. The results show that addition of additive A (0.1  ratio. Lighter solvents cause higher precipitation. Generally
         wt% in toluene solution) can remove up to 41% after 1 h and  value of R S at the onset for a given oil is a function of sol-
         up to 49% of asphaltene after 18 h [37]. Therefore, at higher  vent molecular weight (M S ) and it increases with increase in
         additive concentrations the contact time can be reduced.  M S [38]. Effect of temperature on asphaltene precipitation
          Deasphalted oils may also be used as asphaltene inhibitor  depends on the type of solvent as shown in Fig. 9.13 [39].
         since they contain resins that are effective in keeping asphal-  The amount of solid deposition increases with temperature
         tene molecules soluble in the oil in addition to their potential  for propane, while for n-heptane the effect of temperature
         for greater solvency. There are some synthetic resins such 2-  is opposite. Effect of pressure on asphaltene precipitation is
         hexadecyl naphthalene that can also be used as asphaltene  shown in Fig. 9.14. Above the bubble point of oil, increase in
         inhibitor. Most of these inhibitors are expensive and research  pressure decreases the amount of precipitation, while below
         on manufacturing of commercially feasible asphaltene in-  bubble point precipitation increases with pressure.
         hibitors is continuing. Asphaltenes or other heavy organics
         are precipitated under certain conditions that can be deter-  9.3.2 Wax Precipitation—Solid Solution Model
         mined through phase diagram (i.e., PT or Px diagrams). An
         example of such diagrams is the Px diagram at constant tem-  There are generally two models for wax formation calcula-
         perature of 24 C for an oil–CO 2 system as shown in Fig. 9.11.  tions. The first and more commonly used model is the solid-
                    ◦
         Some specifications for this oil are given in Table 9.9. In this  solution model. In this model, the solid phase is treated as a
         figure, the solid phase is indicated by S and regions of LVS  homogenous solution similar to liquid solutions. Formulation
         and LS are the regions that asphaltenes may precipitate and  of SLE calculations according to this model is very similar
         should be avoided. The best way to prevent asphaltene pre-  to VLE calculations with use of Eq. (6.205) and equilibrium  --`,```,`,``````,`,````,```,,-`-`,,`,,`,`,,`---
         cipitation is to avoid the region in the phase diagram where  ratio, K , from Eq. (6.209) instead of K i for the VLE. This
                                                                     SL
                                                                     i
         asphaltene precipitation can occur. It is for this reason that  model was first introduced by Won [41] and later was used
         phase behavior of petroleum fluids containing heavy organics  to predict wax precipitation from North Sea oils by Pedersen
         is important in determining the conditions in which precipi-  et al. [14, 42]. The second model called multisolid-phase model
         tation can be avoided. Construction of such phase diagrams  was proposed by Lira-Galeana et al. in 1996 [43], which has
         is extremely useful to determine the conditions where precip-  also found some industrial applications [16]. In this model,
         itation occurs. Unfortunately such diagrams for various oils  the solid mixture is not considered as a solution but it is de-
         and solvents are not cited in the open literature. Figure 9.11  scribed as a mixture of pure components; each solid phase
         shows that the solid phase is formed at very high concentra-  does not mix with other solid phases. The multisolid-phase
         tion of CO 2 , that is, the region that is not of practical applica-  model is particularly useful for calculation of CPT of oils.
         tion and should be considered with caution. Thermodynamic  The temperature at which wax appears is known as wax ap-
         models, along with appropriate characterization schemes can  pearance (or precipitation) temperature (WAT or WPT), which
         be applied to waxy or asphaltic oils to determine possibility  theoretically is the same as the CPT. Both models are based on
         and amount of precipitation under certain conditions. For  the following relation expressing equilibrium between vapor,
















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