Notes
Slide Show
Outline
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PETE 310
  • Lectures # 6 &  # 7
  • Phase Behavior – Pure Substances (Lecture # 5)
  • Two Component Mixtures
  • Three & Multicomponent Mixtures
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Learning Objectives
  • After completing this chapter you will be able to:
  • Understand pure component phase behavior as a function of pressure, temperature, and molecular size.
  • Understand the behavior of binary and multicomponent mixtures
  • Behavior understood through proper interpretation of phase diagrams
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Phase Diagrams
  • Types of phase diagrams for a single component (pure substance)


      •  (PT)
      •  (PV) or (Pr)
      •  (TV) or (Tr)

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Phase Diagrams
  • Single Component Phase Diagram
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Phase Diagrams
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Hydrocarbon Families
Physical Properties
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Pressure vs Specific Volume Pure Substance
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Pure Component Properties
  • Tabulated critical properties (McCain)
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Heat Effects Accompanying Phase Changes of Pure Substances
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Heat Effects Accompanying Phase Changes of Pure Substances
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Example of Heat Effects Accompanying Phase Changes
  • Steam flooding Problem:
      •  Calculate how many BTU/day (just from the latent heat of steam) are provided to a reservoir by injecting 6000 bbl/day of steam at 80% quality and at a T=462 oF
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COX - Vapor Pressure Charts
(normal paraffins)
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Determination of Fluid Properties
  • Ps =saturation pressure
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Vapor Pressure Determination
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Binary Mixtures
  • Relationships to analyze: P, T, molar or specific volume or (molar or mass density)  - as for a pure component –
  • +
  • COMPOSITION – Molar Composition
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Hydrocarbon Composition
  • The hydrocarbon composition may be expressed on a weight basis or on a molar basis (most common)


    • Recall
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Hydrocarbon Composition
  • By convention liquid compositions (mole fractions) are indicated with an x and gas compositions with a y.







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Our Systems of Concern
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A separator
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Mathematical Relationships


  • with



  • In general
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Key Concepts
  • Fraction of vapor (fv)
  • Mole fractions in vapor (or gas) phase à yi
  • Mole fractions in liquid (or oil) phase à xi
  • Overall mole fractions (zi) à combining gas & liquid
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Pressure vs
Temperature Diagram  (PT)zi
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Pressure Composition Diagrams - Binary Systems
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Temperature vs. Composition Diagrams – Binary Systems
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Gas-Liquid Relations
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Supercritical Conditions Binary Mixture
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Quantitative Phase Equilibrium Exercise
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Quantitative Phase Equilibrium Exercise
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Ternary Diagrams: Review
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Ternary Diagrams: Review
  • Pressure Effect
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Ternary Diagrams: Review
  • Dilution Lines
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Ternary Diagrams: Review
  • Quantitative Representation of Phase Equilibria - Tie (or equilibrium) lines


  • Tie lines join equilibrium conditions of the gas and liquid at a given pressure and temperature.
      • Dew point curve gives the gas composition.
      • Bubble point curve gives the liquid composition.

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Ternary Diagrams: Review
  • Quantitative Representation of Phase Equilibria - Tie (or equilibrium) lines


  • All mixtures whose overall composition (zi) is along a tie line have the SAME equilibrium gas (yi) and liquid composition (xi), but the relative amounts on a molar basis of gas and liquid (fv and fl) change linearly (0 – vapor at B.P., 1 – liquid at B.P.).
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Illustration of Phase Envelope and Tie Lines
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Uses of Ternary Diagrams
  • Representation of Multi-Component Phase Behavior with a Pseudoternary Diagram
  • Ternary diagrams may approximate phase behavior of multi-component mixtures by grouping them into 3 pseudocomponents


    • heavy (C7+)
    • intermediate (C2-C6)
    • light (C1, CO2 , N2- C1, CO2-C2, ...)
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Uses of Ternary Diagrams
  • Miscible Recovery Processes
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Exercise
  • Find overall composition of mixture made with 100 moles oil "O" + 10 moles of mixture "A".
  • __________________________
  • ________________________
  • _______________________
  • _____________________
  • ___________________
  • _________________
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Practice Ternary Diagrams
  • Pressure Effect
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Practice Ternary Diagrams
  • Pressure Effect
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Practice Ternary Diagrams
  • Temperature Effect
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Practice Ternary Diagrams
  • Temperature Effect
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Pressure-Temperature Diagram for Multicomponent Systems
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Changes During Production and Injection
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Homework
  • See Syllabus please