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

by Olaf Kolditz (Editor), Uwe-Jens Görke (Editor), Hua Shao (Editor), Wenqing Wang (Editor)

Overview

The book comprises an assembly of benchmarks and examples for porous media mechanics collected over the last twenty years. Analysis of thermo-hydro-mechanical-chemical (THMC) processes is essential to many applications in environmental engineering, such as geological waste deposition, geothermal energy utilisation, carbon capture and storage, water resources management, hydrology, even climate chance. In order to assess the feasibility as well as the safety of geotechnical applications, process-based modelling is the only tool to put numbers, i.e. to quantify future scenarios. This charges a huge responsibility concerning the reliability of computational tools. Benchmarking is an appropriate methodology to verify the quality of modelling tools based on best practices. Moreover, benchmarking and code comparison foster community efforts. The benchmark book is part of the OpenGeoSys initiative - an open source project to share knowledge and experience in environmental analysis and scientific computation.

Product Details

ISBN-13:	9783642271762
Publisher:	Springer Berlin Heidelberg
Publication date:	04/06/2012
Series:	Lecture Notes in Computational Science and Engineering , #86
Edition description:	2012
Pages:	399
Product dimensions:	6.10(w) x 9.25(h) x 0.04(d)

Table of Contents

1 Introduction 1

1.1 Scope of This Book 2

1.2 Application Areas 2

Part I Theory and Numerics 7

2 Theory 9

2.1 Continuum Mechanics 10

2.2 Porous Medium 19

2.3 Balance Equations 26

2.4 Fluid Properties 32

2.5 Mechanical Properties 41

2.6 Porous Medium Properties 54

3 Numerical Methods 61

3.1 Introduction 62

3.2 Object-Orientation in Finite Element Analysis 63

3.3 General Finite Element Formulations 69

3.4 Element Objects: ELE 71

3.5 Parallel Computing and Automatic Control for Time Stepping 84

Part II Benchmarks for Single Processess 87

4 Heat Transport 89

4.1 Linear Heat Conduction in a Finite Solid 90

4.2 Radial Heat Conduction in a Solid 93

4.3 Heat Transport in a Fracture 94

4.4 Heat Transport in a Porous Medium 96

4.5 Heat Transport in a Porous Medium 98

4.6 Heat Transport in a Fracture-Matrix System 101

5 Groundwater Flow 107

5.1 Groundwater Flow in an Anisotropic Medium 107

5.2 Groundwater Flow in a Heterogeneous Medium 109

5.3 Confined Aquifer with Constant Channel Source Term 111

5.4 Thies' Problem 114

5.5 Unconfined Aquifer 117

5.6 2-D Steady State Flow in Porous Media with a Discrete Fracture 120

6 Richards Flow 125

6.1 Single Continuum 127

6.2 Dual Continua 138

7 Overland Flow 143

7.1 Surface Flow on a Tilted V-Catchment 145

7.2 Infiltration Excess (Horton) Overland Flow 146

8 Gas Flow 149

8.1 Material Functions 151

8.2 Element Test 152

8.3 Verifications 154

8.4 Isothermal Compressible Gas Flow 154

8.5 Joule-Thomson Cooling Processes 155

8.6 Air Flow Example 157

9 Deformation Processes 161

9.1 Elasticity 162

9.2 Elastoplasticity 180

9.3 Viscoplastic Creep 188

10 Mass Transport 201

10.1 Diffusion 202

10.2 Decay 206

10.3 Sorption 208

10.4 Sorption and Decay 214

10.5 Matrix Diffusion 216

10.6 Particle Tracking 218

10.7 RWPT in Fractures 229

Part III Examples for Coupled Processes 233

11 Density Dependent Flow 235

11.1 Theory 235

11.2 The Elder Problem 237

11.3 The Goswami Problem 239

11.4 The Schincariol Problem 243

12 Multiphase Flow Processes 247

12.1 Isothermal Two-Phase Flow 247

12.2 Non-isothermal Two-Phase Flow 262

13 Consolidation (HⁿM) Processes 269

13.1 Single Phase Consolidation 269

13.2 Unsaturated (Richards) Consolidation 280

13.3 Two-Phase Consolidation 286

13.4 Flow and Mechanics in Discrete Fracture-Matrix Rock Systems 295

14 Thermomechanics 299

14.1 Thermoelastic Stress Analysis in Homogeneous Material (3 D) 300

14.2 Thermoelastic Stress Analysis in Composite Materials (3 D) 303

14.3 Thermoelastic Deformation in a Hallow Cylinder 307

15 Reactive Transport 313

15.1 Calcite dissolution and precipitation (1D) 313

15.2 Cation Exchange (1D) 315

15.3 Serial and Parallel Reactions (1D) 316

15.4 Xylene degradation (1D) 321

15.5 TCE-and cis-DCE-degradation for zero valent iron surface (1D) 322

15.6 Sequential CHC degradation with isotope fractionation (1D) 325

15.7 Degradation Network (1D) 330

15.8 Degradation with double Monod kinetics (2D) 335

15.9 Clogging simulation (2D) 338

A Software Engineering 345

B Data Processing 349

C Gino_OGS 353

D Geometric Modelling, Gridding and Visualization 357

E Heat Transport in a Real Fracture-Matrix System 365

Bibliography 375