Phase diagrams main types

The example of a binary mixture is used to demonstrate the increased complexity of the phase diagram through the introduction of a second component in the system. Typical reservoir fluids contain hundreds of components, which makes the laboratory measurement or mathematical prediction of the phase behaviour more complex still. However, the principles established above will be useful in understanding the differences in phase behaviour for the main types of hydrocarbon identified. 

Figure 5.21 helps to explain how the phase diagrams of the main types of reservoir fluid are used to predict fluid behaviour during production and how this influences field development planning. It should be noted that there are no values on the axes, since in fact the scales will vary for each fluid type. Figure 5.21 shows the relative positions of the phase envelopes for each fluid type. 

The four vertical lines on the diagram show the isothermal depletion loci for the main types of hydrocarbon gas (incorporating dry gas and wet gas), gas condensate, volatile oil and black oil. The starting point, or initial conditions of temperature and pressure, relative to the two-phase envelope are different for each fluid type. 

The binary system lead-thallium shows an unusual type of phase diagram. Fig. 1, taken from Hansen (1936), represents in the main the results obtained by Kumakow Pushin (1907) and by Lewkonja (1907). The liquidus curve in the wide solid-solution region has a maximum at about 63 atomic percent thallium. The nature of this maximum has not previously been made clear. 

Leaving the details, the equation describing the motion of one particle in two electrostatic waves allows perturbation methods to be applied in its study. There are three main types of behavior in the phase space - a limit cycle, formation of a non-trivial bounded attracting set and escape to infinity of the solutions. One of the goals is to determine the basins of attraction and to present a relevant bifurcation diagram for the transitions between different types of motion. 

The thermotropic behavior and phase diagrams of binary mixtures of copper and gold complexes of the type [MX(CNR)] (X = anionic ligand, R = p-alkoxyaryl group) have been studied [32] and the main results are ... 

Schomacker compared the use of nonionic microemulsions with phase transfer catalysis for several different types of organic reactions and concluded that the former was more laborious since the pseudo-ternary phase diagram of the system had to be determined and the reaction temperature needed to be carefully monitored [13,29]. The main advantage of the microemulsion route for industrial use is related to the ecotoxicity of the effluent. Whereas nonionic surfactants are considered relatively harmless, quaternary ammonium compounds exhibit considerable fish toxicity. 

The reader should be able to construct and interpret the phase diagram in Fig. 3.15.6 on a similar basis. This situation arises mainly when the melting points of pure A and B differ considerably. Diagrams of this type are classified as... 

In addition to the phase diagrams shown and explained in the main text, this appendix provides further useful phase diagrams of five main types of materials borides, carbides, nitrides, oxides and silicides. These can provide initial useful information about the conditions and chemical reactions of a system for anyone who wishes to deposit them. 

The consequence of the above considerations is that binary systems of alkali metal halides form different types of phase diagrams, starting with the simple eutectic ones through the solid solution eutectic ones, the phase diagrams with the formation of a binary compound up to those with complete solid solubility. Tables 2.4 and 2.5 summarize the main features of individual phase diagrams. 

Qualitatively the main phase diagram types for binary mixtures with single eritical point components are shown in Fig. 8. 

Figure 8. P-T projections of main phase diagram types. The roman numbers correspond to the classification introduced by Scott and van Konynenburg the solid lines are critical curves the dashed lines are vapor pressure curves of pure components with critical points Ci and the dash dotted lines are three phase lineg C is critical end point.

Polymorphism. Polymorphic literally means multiform, but the term does not refer to variation in external shape. It indicates that crystals of the same molecules have different unit cells, be it of the same or of a different crystal system. The phenomenon is quite common. There are two types of polymorphism. Enantiotropic polymorphs each are stable within a certain range of temperature and pressure. Consequently, a phase diagram of the various polymorphs can be made. The prime example is ice (Section 15.3.1). If monotropic polymorphs exist, all but one of these are unstable. There is no phase diagram and, given time, only the most stable form will remain. The prime examples are compounds with long paraffinic chains, including most lipids (especially acylglycerols), where three main polymorphs exist (a, (F, and (3). 

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