Physicochemical Fluid Dynamics in Porous Media

Mikhail Panfilov, PhD, is professor and head of the research group "Multiphase Flow and Porous Media" at the University of Lorraine, France, in the CNRS Laboratory of Energy and Applied Mechanics. He is a two-time recipient of the Excellence Award of the French Ministry of Higher Education and Research. He also received the Einstein Medal of the Russian Academy of Natural Sciences.

THERMODYNAMICS OF FLUIDS
Equilibrium of Single-Phase Fluids. Equation of State
Two-Phase Equilibrium of Mono-Component Fluids
Chemical Potential of Ideal Gas Mixture
Chemical Potential of Non-Ideal Mixtures
Two-Phase Equilibrium of Two-Component Fluids
Equilibrium of Multi-Component Phases
Comparison with Experimental Data
Equilibrium in Diluted Mixtures

PASSIVE TRANSPORT
General Equations of Passive Transport
Conservation Equations
Convective Transport
Diffusion Transport
Properties of Diffusion Parameters
Properties of the Diffusion Transport
Convection-Diffusion Transport

TRANSPORT WITH ADSORPTION
Adsorption Phenomenon and Model
Transport with Adsorption: General Equations

TRANSPORT WITH CHEMICAL REACTIONS
Description of a Chemical Reaction
Particle Balance in a Reaction
Kinetics of a Reaction
Transport with Reactions
Example 2: In-Situ Leaching of Uranium Ores

SURFACE AND CAPILLARY PHENOMENA
Surface Properties
Wetting
Movement of the Triple Line

MICRO-MECHANICS OF FLOW IN POROUS MEDIA
Capillary Phenomena in a Pore
Structure of Phase Clusters in Pore Networks

TRANSITION TO MACROSCALE TWO-PHASE EQUATIONS
Geometrical Method

PORES-SCALE HYDRODYNAMICS: THEORY OF RELATIVE PERMEABILITY
Bethe-Tree Model for Relative Permeability of Stochastic Networks

MACROSCALE THEORY OF IMMISCIBLE TWO-PHASE FLOW
Fundamental Equations of Two-Phase Immiscible Flow
Canonical Theory of Horizontal Two-Phase Displacement
Displacement with Gravity

THEORY OF PARTIALLY MISCIBLE TWO-PHASE DISPLACEMENT
Phase Diagrams for Three-Component Mixtures
Model of Two-Phase Three-Component Flow in Porous Media
Regimes of Oil Displacement
Chemical Flooding

METHOD OF NEGATIVE SATURATIONS FOR TWO-PHASE FLOW WITH PHASE APPEARANCE AND DISAPPEARANCE
Interface of Phase Disappearance
Hydrodynamic and Thermodynamic Model of the Process
Method NegSat
Qualitative Analysis of the Method for Diffusion-Free Flow
Qualitative Analysis of the Method for Flow with Diffusion
Simulation of 2D Flow: Collision of PT-Interfaces
Reduction to VOF-Method for Immiscible Fluids

EXTENSION OF THE METHOD NegSat TO THREE-PHASE MULTICOMPONENT FLOW
Method NegSat for any Number of Phases
Extension of the Equivalence Principle to Complex Cases
Principle of Equivalence between Two-Phase and Three-Phase Fluids
Numerical Simulation of Three-Phase Flow
2D Three-Phase Simulations without Gravity

REACTIVE TRANSPORT IN THE UNDERGROUND LEACHING OF URANIUM
Introduction
Model of Transport with Heterogeneous Reactions and Colmatation
Asymptotic Solution of 1D Problem
Comparison with Experimental Data

SELF-ORGANIZATION AND SHOCK WAVES IN UNDERGROUND STORAGE OF HYDROGEN
Underground Hydrogen Storage as an Element of an Energy Cycle
Bio-Chemical Problems Related to UHS
Hydrodynamic Processes in UHS: Gas-Water Flow in Presence of Bio-Reactions
Shock Waves in the Case of Instantaneous Bio-Reactions
Self-Organization for Non-Instantaneous Kinetics
Self-Organization in Presence of Chemotaxis