Thermo-Hydro-Mechanical-Chemical Processes in Porous Media [electronic resource] : Benchmarks and Examples /
Kolditz, Olaf.editor.
Görke, Uwe-Jens.editor.
Shao, Hua.editor.
Wang, Wenqing.editor.
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.
Description based upon print version of record.
Thermo-Hydro-Mechanical-Chemical Processes in Fractured Porous Media; Contents; Contributors; Chapter1 Introduction; 1.1 Scope of This Book; 1.2 Application Areas; 1.2.1 Geotechnics; Part I - Theory and Numerics; Chapter2 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 Medium2.4 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]; Chapter3 Numerical Methods; 3.1 Introduction; 3.2 Object-Orientation in Finite Element Analysis
3.2.1 Process (PCS) Types3.2.2 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
Chapter4 Heat Transport4.1 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 Definition4.6.2 Solution; 4.6.3 Results; Chapter5 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
Includes bibliographical references.
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.
Computer science
Environmental sciences.
Engineering geology.
Foundations.
Hydraulics.
Computer mathematics.
Physics.
Math Applications in Computer Science.
Environmental Science and Engineering.
Math. Appl. in Environmental Science.
Geoengineering, Foundations, Hydraulics.
Computational Mathematics and Numerical Analysis.
Numerical and Computational Physics, Simulation.
Lecture Notes in Computational Science and Engineering