Thermo-Hydro-Mechanical-Chemical Processes in Porous Media

Name: Thermo-Hydro-Mechanical-Chemical Processes in Porous Media | Benchmarks and Examples
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Benchmarks and Examples

Olaf Kolditz Uwe-Jens Görke Hua Shao Wenqing Wang(Herausgeber*in)

Springer (Verlag)

Erschienen am 6. April 2012

XIII, 399 Seiten

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Inhalt

Intro
Thermo-Hydro-Mechanical-Chemical Processes in Fractured Porous Media
Contents
Contributors
Chapter 1 Introduction
1.1 Scope of This Book
1.2 Application Areas
1.2.1 Geotechnics
Part I - Theory and Numerics
Chapter 2 Theory
2.1 Continuum Mechanics
2.1.1 Lagrangian and Eulerian Principles
2.1.2 Kinematics of Continua
2.1.3 Stress Tensor
2.1.4 Conservation Principles
2.2 Porous Medium
2.2.1 Macroscopic Equations
2.2.2 Theory of Mixtures
2.3 Balance Equations
2.3.1 Phase Mass Balance
Primary Variables
2.3.2 Momentum Balance
Darcy's Law
2.3.3 Energy Balance
Heat Transport
Porous Medium
2.4 Fluid Properties
2.4.1 Density
2.4.2 Enthalpy
2.4.3 Entropy
2.4.4 Heat Capacity
2.4.5 Viscosity
2.4.6 Thermal Conductivity
2.5 Mechanical Properties
2.5.1 Effective Stress Principle
2.5.2 Material Classes
2.5.3 Elasticity
2.5.4 Elastoplasticity
2.5.5 Viscoelasticity
2.5.6 Viscoplasticity
2.6 Porous Medium Properties
2.6.1 Saturation
2.6.2 Capillary Pressure and Relative Permeability
van Genuchten Model [51]
Haverkamp Model [53]
Brooks & Corey Model [49]
Chapter 3 Numerical Methods
3.1 Introduction
3.2 Object-Orientation in Finite Element Analysis
3.2.1 Process (PCS) Types
3.2.2 PDE Types
3.2.3 Element (ELE) Types
3.3 General Finite Element Formulations
3.4 Element Objects: ELE
3.4.1 Geometric Element Object: ELE-GEO
Core Object: CORE-Geometric Element Base Class
Node Object: NODE
Edge Object: EDGE
Element Object: ELEM
3.4.2 Finite Element Object: ELE-FEM
3.4.3 Process Related Finite Element Objects: ELE-PCS
3.4.4 Element-Mesh Relations: ELE-MSH
ELE-GEO Relation
ELE-FEM Relation
ELE-PCS Relation
3.5 Parallel Computing and Automatic Control for Time Stepping
Part II: Benchmarks for Single Processes
Chapter 4 Heat Transport
4.1 Linear Heat Conduction in a Finite Solid
4.1.1 Definition
4.1.2 Solution
Analytical Solution
Numerical Solution
4.1.3 Results
4.2 Radial Heat Conduction in a Solid
4.2.1 Definition
4.2.2 Solution
Analytical Solution
Numerical Solution
4.2.3 Results
4.3 Heat Transport in a Fracture
4.3.1 Definition
4.3.2 Solution
4.3.3 Results
4.4 Heat Transport in a Porous Medium
4.4.1 Definition
4.4.2 Solution
4.4.3 Results
4.5 Heat Transport in a Porous Medium
4.5.1 Definition
4.5.2 Solution
4.5.3 Results
4.6 Heat Transport in a Fracture-Matrix System
4.6.1 Definition
4.6.2 Solution
4.6.3 Results
Chapter 5 Groundwater Flow
5.1 Groundwater Flow in an Anisotropic Medium
5.1.1 Definition
5.1.2 Evaluation Method
5.1.3 Results
5.2 Groundwater Flow in a Heterogeneous Medium
5.2.1 Definition (2-D)
5.2.2 Results (2-D)
5.2.3 Definition (3-D)
5.2.4 Results (3-D)
5.3 Confined Aquifer with Constant Channel Source Term
5.3.1 Definition
5.3.2 Solution
5.3.3 Results
5.4 Theis' Problem
5.4.1 Definition
5.4.2 Solution
5.4.3 Results
5.4.4 2-D Application
5.5 Unconfined Aquifer
5.5.1 Definition
5.5.2 Analytical Solution
5.5.3 Results
5.6 2-D Steady State Flow in Porous Media with a Discrete Fracture
5.6.1 Definition
5.6.2 Solution
Analytical Solution
Numerical Solution
5.6.3 Results
Chapter 6 Richards Flow
6.1 Single Continuum
6.1.1 Infiltration in Homogeneous Soil
Definition
Results
6.1.2 Infiltration in Homogeneous Soil (ST/BC)
Definition
Results
6.1.3 Transient Infiltration in Homogeneous Soil
Definition
Results
6.1.4 Heterogeneous Soil and Non-uniform IC (-/BC)
Definition
Results
6.2 Dual Continua
Definition
Results
Chapter 7 Overland Flow
7.1 Surface Flow on a Tilted V-Catchment
7.1.1 Definition
7.1.2 Solution
7.2 Infiltration Excess (Horton) Overland Flow
7.2.1 Definition
7.2.2 Solution
Chapter 8 Gas Flow
8.1 Material Functions
8.1.1 Air Dynamic Viscosity
8.1.2 Thermal Properties
8.2 Element Test
8.2.1 Definition
8.2.2 Results
8.3 Verifications
8.4 Isothermal Compressible Gas Flow
8.4.1 Definition
8.4.2 Solution
Analytical Solution
Numerical Solution
8.4.3 Results
8.5 Joule-Thomson Cooling Processes
8.5.1 Definition
8.5.2 Solution
Analytical Solution
Numerical Solution
8.5.3 Results
8.6 Air Flow Example
8.6.1 Definition
8.6.2 Solution
8.6.3 Results
Chapter 9 Deformation Processes
9.1 Elasticity
9.1.1 Plane Strain Confined Compression
Definition
Solution
Results
9.1.2 Plane Strain Confined Compression: Excavation in Homogeneous Media
Definition
Solution
Results
9.1.3 Plane Strain Confined Compression: Excavation in Heterogeneous Media
Definition
Solution
Results
9.1.4 Strain Driven Three-Dimensional Unconfined Compression
Definition
Solution
Results
9.1.5 Load Driven Three-Dimensional UnconfinedCompression
Definition
Solution
Results
9.1.6 Nonlinear Elastic Axisymmetric TriaxialCompression
Definition
Solution
Results
9.1.7 Transverse Isotropic Elastic Tensile Test
Definition
Solution
Results
9.2 Elastoplasticity
9.2.1 Compression of a Plate with a Hole
Definition
Solution
Results
9.2.2 Two-Dimensional Strain Localization Problem
Definition
Solution
Results
9.2.3 Cam-Clay Plasticity
Definition
Solution
Results
9.3 Viscoplastic Creep
9.3.1 Creep of a Thick-Walled Cylinder
Definition
Solution
Results
9.3.2 Thermally Driven Creep in Rock Salt
Definition
Solution
Results
9.3.3 Stationary Creep in Rock Salt
Definition
Solution
Results
9.3.4 Transient Creep in Rock Salt
Definition
Solution
Results
Chapter 10 Mass Transport
10.1 Diffusion
10.1.1 Axisymmetric Model
Definition
Results
10.1.2 Anisotropy
Definition
Results
10.2 Decay
10.2.1 Definition
10.2.2 Results
10.3 Sorption
10.3.1 Linear Sorption (Henry Isotherm)
Results
10.3.2 Non-linear Sorption (Freundlich Isotherm)
Definition
Results
10.3.3 Non-linear Sorption (Langmuir Isotherm)
Problem Definition
Results
10.4 Sorption and Decay
10.4.1 Single Component
Definition
Results
10.4.2 Multi Components
Definition
Results
10.5 Matrix Diffusion
10.5.1 Definition
10.5.2 Results
10.6 Particle Tracking
10.6.1 Particle Tracking in Porous Medium:1D Case Study
Definition
Analytical Solution
Numerical Solution
Results
10.6.2 Particle Tracking in Porous Medium:2D Case Study
Definition
Analytical Solution
Numerical Solution
Results
10.6.3 Particle Tracking in Porous Medium:3D Case Study
Definition
Analytical Solution
Numerical Solution
Results
10.7 RWPT in Fractures
10.7.1 Uncertainty in Flow, Preferential Flow
Part III - Examples for Coupled Processes
Chapter 11 Density Dependent Flow
11.1 Theory
11.1.1 Governing Equations
Equation of the Bulk Fluid Density
Continuity Equation of Flow
Momentum Equation of Flow (the Darcy Equation) and Dispersive Flux
Solute Transport Equation
11.2 The Elder Problem
11.2.1 Definition
11.2.2 Results
11.3 The Goswami Problem
11.3.1 Definition
11.3.2 Results
11.4 The Schincariol Problem
11.4.1 Definition
11.4.2 Results
Chapter 12 Multiphase Flow Processes
12.1 Isothermal Two-Phase Flow
12.1.1 Mass Balance Equation
12.1.2 Pressure-Pressure (pp) Scheme
12.1.3 Pressure-Saturation (pS) Scheme
12.1.4 Liakopoulos Experiment
Definition
Results
12.1.5 Buckley-Leverett Problem
Definition
Results: pS-Global
Results: pS-Sequential
Results: CO2 Injection
12.1.6 McWhorter Problem
Definition
Results
12.1.7 Kueper Problem
Definition
Results
12.2 Non-isothermal Two-Phase Flow
12.2.1 Heat Pipe Problem
Definition
Results
Chapter 13 Consolidation (HnM) Processes
13.1 Single Phase Consolidation
13.1.1 Fluid Mass and Momentum Balance
13.1.2 Solid Momentum Balance
13.1.3 Numerical Solution Scheme
13.1.4 Terzaghi Consolidation: Monolithic and Staggered Approaches
Definition
Results
13.1.5 Distributed Footing: Poroelastic Cube (3D)
Definition
Results
13.1.6 Distributed Footing: Poroelastic Cube (3D) with Dynamic Consolidation
Definition
Results
13.2 Unsaturated (Richards) Consolidation
13.2.1 Fluid Mass and Momentum Balance
13.2.2 Solid Momentum Balance
13.2.3 FEM Solution Scheme
13.2.4 Terzaghi Consolidation: Unsaturated
Definition
Results
13.2.5 DECOVALEX Unsaturated Test Case
Definition
Results
13.3 Two-Phase Consolidation
13.3.1 Fluid Mass and Momentum Balance
13.3.2 Solid Momentum Balance
13.3.3 FEM Solution Scheme
13.3.4 Terzaghi Consolidation: Two-Phase
Definition
Results
13.3.5 Invarient Stress: Flow and Storage in aCompressible Medium
Definition
Results
13.3.6 Cam-Clay Consolidation with Swelling
Definition
Results
13.4 Flow and Mechanics in Discrete Fracture-Matrix Rock Systems
13.4.1 Hydro-Mechanical Response of a Single Fracture Within a Rock Matrix (2D)
Definition
Semi-analytical Solution
Numerical Solution
Results
Chapter 14 Thermomechanics
14.1 Thermoelastic Stress Analysis in Homogeneous Material (3 D)
14.1.1 Definition
14.1.2 Solution
Analytical Solution
Numerical Solution
14.1.3 Results
14.2 Thermoelastic Stress Analysis in Composite Materials (3 D)
14.2.1 Definition
14.2.2 Solution
Analytical Solution
Numerical Solution
14.2.3 Results
14.3 Thermoelastic Deformation in a Hollow Cylinder
14.3.1 Definition
14.3.2 Solution
Analytical Solution
Numerical Solution
14.3.3 Results
Chapter 15 Reactive Transport
15.1 Calcite dissolution and precipitation (1D)
15.1.1 Definition
Media Properties
15.1.2 Solution
15.2 Cation Exchange (1D)
15.2.1 Definition
15.2.2 Solution
15.3 Serial and Parallel Reactions (1D)
15.3.1 Definition
15.3.2 Solution
15.4 Xylene degradation (1D)
15.4.1 Definition
15.4.2 Solution
15.5 TCE- and cis-DCE-degradation for zero valent iron surface (1D)
15.5.1 Definition
15.5.2 Solution
15.6 Sequential CHC degradation with isotope fractionation (1D)
15.6.1 Reaction Model
15.6.2 Definition
15.6.3 Solution
15.7 Degradation Network (1D)
15.7.1 Definition
15.7.2 Solution
15.8 Degradation with double Monod kinetics (2D)
15.8.1 Definition
15.8.2 Solution
15.9 Clogging simulation (2D)
15.9.1 Definition
15.9.2 Solution
Appendix A Software Engineering
Appendix B Data Processing
Appendix C GINA_OGS
Pre-processing
Mesh Generation
Post-processing
Data Interface
Contact Information
Appendix D Geometric Modelling, Gridding and Visualization
Appendix E Heat Transport in a Real Fracture-Matrix System
Geology
Initial and Boundary Conditions
Parameters
Results
Bibliography

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