Computational modeling of shallow geothermal systems [electronic resource]
- Includes bibliographical references and index.
- Preface Part I Preliminaries 1 Introduction 1.1 Geothermal energy systems 1.2 Shallow geothermal system 1.3 Book theme and objective 2 Heat Transfer 2.1 Introduction 2.2 Heat transfer mechanisms 2.3 Thermal parameters 3 Heat Transfer in Porous Media 3.1 Introduction 3.2 Energy field equation: formal representation 3.3 Heat flow in a two-phase soil mass: engineering representation 4 Heat Transfer in Borehole Heat Exchangers 4.1 Introduction 4.2 Heat equation of a multiple component system 4.3 Heat equation of a borehole heat exchanger 4.4 Heat equations of some typical borehole heat exchangers 5 Thermal Resistance 5.1 Introduction 5.2 Fourier's law vs. Ohm's law 5.3 Series and parallel configurations 5.4 Thermal resistance of a borehole heat exchanger Part II Analytical and semi-analytical modeling 6 Eigenfunction Expansions and Fourier transforms 6.1 Introduction 6.2 Initial and boundary value problems 6.3 Sturm-Liouville problem 6.4 Fourier series 6.5 Fourier integral 6.6 Fourier transform 6.7 Discrete Fourier transform 6.8 Fast Fourier transform 6.9 Numerical examples 7 Laplace Transforms 7.1 Introduction 7.2 Forward Laplace transform 7.3 Inverse Laplace transform 7.4 Numerical examples 8 Commonly used Analytical Models for Ground-Source Heat Pumps 8.1 Introduction 8.2 Modeling soil mass 8.3 Modeling borehole heat exchanger 9 Spectral Analysis of Shallow Geothermal Systems 9.1 Introduction 9.2 Modeling shallow geothermal system 9.3 Verification of the BHE model 9.4 Verification of the soil model 9.5 Computer implementation 10 Spectral Element Model for Borehole Heat Exchangers 10.1 Introduction 10.2 Spectral element formulation 10.3 Spectral element formulation for borehole heat exchangers 10.4 Element verification 10.5 Concluding remarks Part III Numerical Modeling 11 Finite Element Methods of Conduction-Convection Problems 11.1 Introduction 11.2 Spatial discretization 11.3 Time discretization 12 Finite Element Modeling of Shallow Geothermal Systems 12.1 Introduction 12.2 Soil finite element 12.3 Borehole heat exchanger finite element 12.4 Numerical implementation 12.5 Verifications and numerical examples.
- (source: Nielsen Book Data)
- Publisher's Summary
- A Step-by-step Guide to Developing Innovative Computational Tools for Shallow Geothermal Systems Geothermal heat is a viable source of energy and its environmental impact in terms of CO2 emissions is significantly lower than conventional fossil fuels. Shallow geothermal systems are increasingly utilized for heating and cooling of buildings and greenhouses. However, their utilization is inconsistent with the enormous amount of energy available underneath the surface of the earth. Projects of this nature are not getting the public support they deserve because of the uncertainties associated with them, and this can primarily be attributed to the lack of appropriate computational tools necessary to carry out effective designs and analyses. For this energy field to have a better competitive position in the renewable energy market, it is vital that engineers acquire computational tools, which are accurate, versatile and efficient. This book aims at attaining such tools. This book addresses computational modeling of shallow geothermal systems in considerable detail, and provides researchers and developers in computational mechanics, geosciences, geology and geothermal engineering with the means to develop computational tools capable of modeling the complicated nature of heat flow in shallow geothermal systems in rather straightforward methodologies. Coupled conduction-convection models for heat flow in borehole heat exchangers and the surrounding soil mass are formulated and solved using analytical, semi-analytical and numerical methods. Background theories, enhanced by numerical examples, necessary for formulating the models and conducting the solutions are thoroughly addressed. The book emphasizes two main aspects: mathematical modeling and computational procedures. In geothermics, both aspects are considerably challenging because of the involved geometry and physical processes. However, they are highly stimulating and inspiring. A good combination of mathematical modeling and computational procedures can greatly reduce the computational efforts. This book thoroughly treats this issue and introduces step-by-step methodologies for developing innovative computational models, which are both rigorous and computationally efficient.
(source: Nielsen Book Data)
- Publication date
- Rafid Al-Khoury.
- Multiphysics modeling, 1877-0274 ; 4
- "A Balkema book."
- Also available in print edition.
- Mode of access: World Wide Web.