publications
Thermodynamic Models: Fundamentals and Computational Aspects
Author(s) : Michael L. Michelsen & Jorgen Mollerup.
ISBN : 87-989961-3-4
Second edition 2007, 2nd printing 2018, Tie-Line Publications
Thermodynamic Models: Fundamentals and Computational Aspects
Authors : Michael L. Michelsen & Jorgen Mollerup.
Abstract
With this book the authors provide a solid framework for developing efficient and robust algorithms for calculation of phase equilibrium of non-ideal mixtures as related to the design and operation of complex processes in the chemical and petroleum
industry.
Starting from classical thermodynamics, the reader is introduced to the various
steps involved in calculating thermodynamic properties and their implication in state of the art phase equilibrium calculation methods, all in a clear and well organized
succession.
The material presented in this book is suitable for advanced graduate-level courses. It will also be an essential reference in the industry for scientific and engineering
development of efficient computational tools for multicomponent multiphase mixtures.
Educational Software Included
As a supplement to the book a Fortran source module for calculation of fugacity coefficients
and all associated derivatives from standard cubic equations of state can be downloaded for free on this web site (see below). The module which includes a small component data base provides the reader with a helpful starting point for implementing and applying the algorithms described in the text.
A list of exercises for some of the book chapters is also available on the publisher’s web site. In these exercises the students are expected to build programs of increasing
complexity based on the recommendations in the text.
The web site further more contains an executable file, capable of performing calculations
of two-phase and multiphase equilibrium at constant temperature and pressure
as well as calculating the phase envelope for a mixture, using the database
from the source module. The executable file enables the students to verify whether
their own programs function correctly.
Finally, a list of problems that has been used by the authors for exam problems over the years is included. This material will be updated on the web site (download).
Contents (382 pages)
Chapters:
1. An Outline of the Classical Thermodynamics (p1)
2. Calculation of Thermodynamic Properties (p61)
3. Thermodynamic Properties from a Cubic Equation of State (p73)
4. The Ultimate Two-Parameter Equation of State (p99)
5. Excess Gibbs Energy Models (p125)
6. Electrolytes – Ions and Zwitterions (p163)
7. Excess Gibbs Energy Models in Equations of State (p207)
8. General Equations of Phase Equilibrium (p221)
9. Stability Analysis and Critical Points (p231)
10. The Isothermal Two-Phase Flash (p251)
11. The Multiphase Isothermal Flash (p281)
12. Saturation Points and Phase Envelopes (p297)
13. Chemical Reaction Equilibrium (p327)
14. Other State Function Based Specifications (p357)
Appendix:
Numerical Methods (p365)
a1. Non-linear algebraic equations
a2. The Newton-Raphson method
a3. Other choices of A
a4. Successive substitution
a5. Quasi-Newton methods
a6. Unconstrained minimization
a7. Constrained minimization
a8. Eigenvalues and Eigenvectors
Theory of Gas Injection Processes
Author(s) : Franklin M. Orr, Jr.
ISBN : 87-989961-2-5
First edition 2007, Tie-Line Publications
Theory of Gas Injection Processes
Author: Franklin M. Orr, Jr.
We are proud to present this significant contribution to the understanding of the development of miscibility in multicontact miscible displacement processes.
Theory of Gas Injection Processes (back cover text):
This book offers the reader a unique opportunity to study and understand the complex interplay between flow and phase behavior that takes place in multicomponent gas/oil displacements that arise in enhanced oil and gas recovery processes.
Starting from a derivation of the conservation equations for multicomponent multiphase flows in porous media and a discussion of convective vs. diffusive/dispersive transport, the reader is introduced to a mathematical framework, based on the method of characteristics, for solving convection-dominated transport problems.
The mathematical theory is extended systematically from a description of simple binary displacement problems to include ternary, quaternary and multicomponent displacements with and without volume change as components transfer between phases during flow in the porous medium.
A thorough analysis of the development of multicontact miscibility is presented. The text demonstrates how the theory of gas injection processes provides for a thermodynamically consistent definition of the minimum miscibility pressure (or minimum miscibility enrichment) for vaporizing, condensing, and condensing/vaporizing gas drives.
The material presented in this book is suitable for a graduate-level course studying the dynamics of multicomponent, multiphase flow in porous materials. It also provides industrial research scientists and engineers improved insight into compositional displacements that will aid the design and implementation of enhanced oil and gas recovery processes from maturing reservoirs. The ideas presented will also find application in the area of geologic storage of CO2 to reduce greenhouse gas emissions.
Franklin M. Orr, Jr. is the Keleen and Carlton Beal Professor of Petroleum Engineering in the Department of Energy Resources Engineering at Stanford University.
Contents (376 pages)
One-Dimensional Flow
Convection-Dispersion Equation
Phase Equilibrium from an Equation of State
Two-Component Gas/Oil Displacement
Solution by the Method of Characteristics
Ternary Gas/Oil Displacements
Example Solutions to Vaporizing and Condensing Gas Drives
Structure of Ternary Gas/Oil Displacements
Multicontact Miscibility
Four-Component Displacements
Eigenvalues, Eigenvectors, and Composition Paths
Condensing/Vaporizing Gas Drives
Development of Miscibility
Multicomponent Gas/Oil Displacements
Key Tie Lines
Solution Construction: Volume Change
Displacements in Gas Condensate Systems
Calculation of MMP and MME
Compositional Simulation
Numerical Dispersion
Sensitivity to Numerical Dispersion
Compositional Streamline Simulation