Mass Transfer Dynamics of Contaminants in Fractured Media

Preface
Contents
About the Authors
Frequently Used Symbols
1 Introduction
	1.1 Mass Transfer in Saturated System
	1.2 Mass Transfer in Unsaturated System
	References
2 Concepts, Structure, and Properties of Fractured Media
	2.1 Basic Concepts of Fractured Media
	2.2 Structure of Fractured Media
	2.3 Properties of Fractured Media
		2.3.1 Porosity of Rock Mass
		2.3.2 Permeability of Rock Mass
		2.3.3 Permeability of Geologic Formations
	2.4 Characterization and Reconstruction of Fractured Media
		2.4.1 2D Self-affine Fracture Generation
		2.4.2 3D Sheared Fractures with the Shear Displacement
	References
3 Basic Law of Fluid Flow in Fractured Media
	3.1 Basic Concepts of Fluid Flow in Fractured Media
		3.1.1 Viscous Versus Inviscid Regions of Flow
		3.1.2 Laminar Versus Turbulent Flow
		3.1.3 One, Two, and Three-Dimensional Flows
	3.2 Linear Flow Law
		3.2.1 Darcy’s Law
		3.2.2 Cubic Law
	3.3 Non-linear Flow Law
		3.3.1 Izbash Equation
		3.3.2 Forchheimer Equation
	3.4 Multiphase Flow
		3.4.1 Basic Concept of Multiphase Flow
		3.4.2 Immiscible Fluid Flow
		3.4.3 Immiscible Three-Phase Flow
	References
4 Basic Process of Mass Transfer in Fractured Media
	4.1 Diffusion
	4.2 Brownian Motion and Fick’s Law
		4.2.1 Brownian Motion
		4.2.2 Fick’s First Law
		4.2.3 Fick’s Second Law
	4.3 Advection
	4.4 Difference in Dispersion and Diffusion
	4.5 Taylor Dispersion
	4.6 Adsorption and Desorption
	4.7 Precipitation and Dissolution
5 Mathematical Model of Mass Transfer in Fractured Media
	5.1 Analytical Solution of Advection–Dispersion Equation (ADE) Model
		5.1.1 ADE Model and Analytical Solution in One-Dimensional Fractured Media
		5.1.2 ADE Model and Analytical Solution in Two-Dimensional Fractured Media
		5.1.3 ADE Model and Analytical Solution in Three-Dimensional Fractured Media
	5.2 Continuous Time Random Walk (CTRW) Model
	5.3 Mobile-Immobile (MIM) Model
	5.4 Spatial Moment
	5.5 Scalar Dissipation Rate (SDR) and Dilution Index
		5.5.1 Scalar Dissipation Rate (SDR)
		5.5.2 Dilution Index
	References
6 Numerical Methods of Mass Transfer Process in Fractured Media
	6.1 Lattice Boltzmann Method
	6.2 Immiscible Two-Phase Transport Model: Phase Field Method
	6.3 Pore-Scale Aqueous Solute Transport Model
	6.4 Coupling Strategy
	6.5 Behaviors of Aqueous Tracer Mass Transfer
	References
7 Mass Transfer Between Matrix and Filled Fracture During Imbibition Process
	7.1 LF-NMR Measurement and Principle
	7.2 Experimental Materials
	7.3 Distribution of the Imbibed Water
	7.4 Imbibition Rate and Analytical Model
	References
8 Influence of Wettability on Interfacial Area for Immiscible Liquid Invasion
	8.1 Interfacial Area for Immiscible Liquid Invasion
	8.2 Entry Pressure
	8.3 Two Phase Flow Characteristics
	8.4 Capillary Pressure Saturation and Interfacial Area Relationships
	References
9 Multiscale Roughness Influence on Solute Transport in Fracture
	9.1 Statistical Self-affine Property
	9.2 Roughness Decomposition
	9.3 Flow Field Characteristics in Fractures
	9.4 Relationship Between Tracer Longitudinal Dispersion and Peclet Number
	References
10 Influence of Eddies on Solute Transport Through a Fracture
	10.1 Flow Field and Eddies Formation
	10.2 Spatial Evolution of Solute and BTC Characteristics
	10.3 Inverse Model for Non-Fickian BTCs
	10.4 Uniformity of Concentration Distribution
	References
11 Lattice Boltzmann Simulation of Solute Transport in Fractures
	11.1 Coupling Flow and Concentration Fields Based on LBM
	11.2 Taylor Dispersion Simulation Based on LBM
	11.3 Characteristics of Solute Transport in a Single Rough Fracture
	References