Physicochemical fluid dynamics in porous media : applications in petroleum geosciences and petroleum engineering /: applications in petroleum geosciences and petroleum engineering. (2018)

• Record Type: Book
• Further Information: Note: Mikhail Panfilov.
• Authors: Panfilov, M. B (Mikhail Borisovich)
• Contents: Preface xv Introduction xvii 1 Thermodynamics of Pure Fluids 1 1.1 Equilibrium of Single-phase Fluids – Equation of State 2 1.1.1 Admissible Classes of EOS 2 1.1.2 van derWaals EOS 3 1.1.3 Soave-Redlish-Kwong EOS 3 1.1.4 Peng–Robinson EOS 5 1.1.5 Mixing Rules for Multicomponent Fluids 5 1.2 Two-phase Equilibrium of Pure Fluids 5 1.2.1 Pseudo-liquid/Pseudo-gas and True Liquid/Gas 6 1.2.2 Equilibrium Conditions in Terms of Chemical Potentials 6 1.2.3 Explicit Relationship for Chemical Potential 7 1.2.4 Equilibrium Conditions in Terms of Pressure and Volumes 8 1.2.5 Solvability of the Equilibrium Equation – Maxwell’s Rule 9 1.2.6 Calculation of Gas–Liquid Coexistence 10 1.2.7 Logarithmic Representation for Chemical Potential – Fugacity 11 2 Thermodynamics of Mixtures 13 2.1 Chemical Potential of an Ideal Gas Mixture 13 2.1.1 Notations 13 2.1.2 Definition and Properties of an Ideal Gas Mixture 14 2.1.3 Entropy and Enthalpy of Ideal Mixing 15 2.1.4 Chemical Potential of Ideal Gas Mixtures 16 2.2 Chemical Potential of Nonideal Mixtures 17 2.2.1 General Model for Chemical Potential of Mixtures 17 2.2.2 Chemical Potential of Mixtures through Intensive Parameters 19 2.3 Two-phase Equilibrium Equations for a Multicomponent Mixture 20 2.3.1 General Form of Two-phase Equilibrium Equations 20 2.3.2 Equilibrium Equations in the Case of Peng–Robinson EOS 21 2.3.3 K-values 23 2.3.4 Calculation of the Phase Composition (“flash”) 24 2.3.5 Expected Phase Diagrams for Binary Mixtures 24 2.4 Equilibrium in Dilute Mixtures 26 2.4.1 Ideal Solution 26 2.4.2 Chemical Potential for an Ideal Solution 27 2.4.3 Equilibrium of Ideal Gas and Ideal Solution: Raoult’s Law 27 2.4.4 Equilibrium of Dilute Solutions: Henry’s Law 28 2.4.5 K-values for Ideal Mixtures 28 2.4.6 Calculation of the Phase Composition 29 3 Chemistry of Mixtures 31 3.1 Adsorption 31 3.1.1 Mechanisms of Adsorption 31 3.1.2 Langmuir’s Model of Adsorption 32 3.1.3 Types of Adsorption Isotherms 34 3.1.4 Multicomponent Adsorption 35 3.2 Chemical Reactions: Mathematical Description 36 3.2.1 Elementary Stoichiometric System 36 3.2.2 Reaction Rate 37 3.2.3 Particle Balance through the Reaction Rate in a Homogeneous Reaction 37 3.2.4 Particle Balance in a Heterogeneous Reaction 38 3.2.5 Example 39 3.3 Chemical Reaction: Kinetics 39 3.3.1 Kinetic Law of Mass Action: Guldberg–Waage Law 39 3.3.2 Kinetics of Heterogeneous Reactions 40 3.3.3 Reaction Constant 41 3.4 Other Nonconservative Effects with Particles 42 3.4.1 Degradation of Particles 42 3.4.2 Trapping of Particles 42 3.5 Diffusion 42 3.5.1 Fick’s Law 43 3.5.2 Properties of the Diffusion Parameter 44 3.5.3 Calculation of the Diffusion Coefficient in Gases and Liquids 45 3.5.3.1 Diffusion in Gases 45 3.5.3.2 Diffusion in Liquids 46 3.5.4 Characteristic Values of the Diffusion Parameter 46 3.5.5 About a Misuse of Diffusion Parameters 47 3.5.5.1 A Misuse of Nondimensionless Concentrations 47 3.5.5.2 Diffusion as the Effect of Mole Fraction Anomaly but not the Number of Moles 47 3.5.6 Stefan–Maxwell Equations for Diffusion Fluxes 48 4 Reactive Transport with a Single Reaction 51 4.1 Equations of Multicomponent Single-Phase Transport 51 4.1.1 Material Balance of Each Component 51 4.1.2 Closure Relationships 52 4.1.2.1 Chemical Terms 52 4.1.2.2 Total Flow Velocity – Darcy’s Law 53 4.1.2.3 Diffusion Flux – Fick’s Law 53 4.1.3 Transport Equation 53 4.1.4 Transport Equation for Dilute Solutions 55 4.1.5 Example of Transport Equation for a Binary Mixture 55 4.1.6 Separation of Flow and Transport 56 4.2 Elementary Fundamental Solutions of 1D Transport Problems 56 4.2.1 Convective Transport – TravelingWaves 57 4.2.2 Transport with Diffusion 58 4.2.3 Length of the Diffusion Zone 59 4.2.4 Peclet Number 59 4.2.5 Transport with Linear Adsorption – Delay Effect 60 4.2.6 Transport with Nonlinear Adsorption: Diffusive TravelingWaves 60 4.2.7 Origin of Diffusive TravelingWaves 62 4.2.8 Transport with a Simplest Reaction (or Degradation/Trapping) 62 4.2.9 Macrokinetic Effect: Reactive Acceleration of the Transport 63 4.3 Reactive Transport in Underground Storage of CO2 64 4.3.1 Problem Formulation and Solution 65 4.3.2 Evolution of CO2 Concentration 66 4.3.3 Evolution of the Concentration of Solid Reactant 67 4.3.4 Evolution of the Concentration of the Reaction Product 67 4.3.5 Mass of Carbon Transformed to Solid 68 5 Reactive Transport with Multiple Reactions (Application to In Situ Leaching) 71 ISL Technology 71 5.1 Coarse Monoreaction Model of ISL 73 5.1.1 Formulation of the Problem 73 5.1.2 Analytical Solution 74 5.2 MultireactionModel of ISL 75 5.2.1 Main Chemical Reactions in the Leaching Zone 75 5.2.2 Transport Equations 77 5.2.3 Kinetics of Gypsum Precipitation 78 5.2.4 Definite Form of the MathematicalModel 79 5.3 Method of Splitting Hydrodynamics and Chemistry 80 5.3.1 Principle of the Method 80 5.3.2 Model Problem of In Situ Leaching 81 5.3.3 Analytical Asymptotic Expansion: Zero-Order Terms 82 5.3.4 First-Order Terms 83 5.3.5 Solution in Definite Form 84 5.3.6 CaseWithout Gypsum Deposition 84 5.3.7 Analysis of the Process: Comparison with Numerical Data 85 5.3.8 Experimental Results: Comparison withTheory 86 5.3.9 Recovery Factor 88 6 Surface and Capillary Phenomena 91 6.1 Properties of an Interface 91 6.1.1 Curvature of a Surface 91 6.1.2 Signed Curvature 92 6.1.3 Surface Tension 94 6.1.4 Tangential Elasticity of an Interface 95 6.2 Capillary Pressure and Interface Curvature 96 6.2.1 Laplace’s Capillary Pressure 96 6.2.2 Young–Laplace Equation for Static Interface 97 6.2.3 Soap Films and Minimal Surfaces 99 6.2.4 Catenoid as a Minimal Surface of Revolution 101 6.2.5 Plateau’s Configurations for Intercrossed Soap Films 102 6.3 Wetting 103 6.3.1 Fluid–Solid Interaction: Complete and PartialWetting 103 6.3.2 Necessary Condition of Young for PartialWetting 104 6.3.3 Hysteresis of the Contact Angle 106 6.3.4 CompleteWetting – Impossibility of Meniscus Existence 106 6.3.5 Shape of Liquid Drops on Solid Surface 107 6.3.6 Surfactants – Significance ofWetting for Oil Recovery 109 6.4 Capillary Phenomena in a Pore 110 6.4.1 Capillary Pressure in a Pore 110 6.4.2 Capillary Rise 112 6.4.3 CapillaryMovement – Spontaneous Imbibition 113 6.4.4 Menisci in Nonuniform Pores – Principle of Pore Occupancy 114 6.4.5 Capillary Trapping – Principle of Phase Immobilization 115 6.4.6 Effective Capillary Pressure 116 6.5 Augmented Meniscus and Disjoining Pressure 118 6.5.1 Multiscale Structure of Meniscus 118 6.5.2 Disjoining Pressure in Liquid Films 119 6.5.3 Augmented Young–Laplace Equation 120 7 MeniscusMovement in a Single Pore 123 7.1 Asymptotic Model for Meniscus near the Triple Line 123 7.1.1 Paradox of the Triple Line 123 7.1.2 Flow Model in the Intermediate Zone (Lubrication Approximation) 124 7.1.3 Tanner’s Differential Equation for Meniscus 125 7.1.4 Shape of the Meniscus in the Intermediate Zone 127 7.1.5 Particul
• Edition: 1st
• Publisher Details: Weinheim : Wiley-VCH
• Publication Date: 2018
• Extent: 1 online resource
• Subjects: 620.116; Porous materials -- Fluid dynamics
• Languages: English
• ISBNs: 9783527806584
• Related ISBNs: 9783527806560; 9783527806591
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