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
Biography
Rafid Al-Khoury is a Senior researcher in computational mechanics in the Faculty of Civil Engineering and Geosciences at Delft University of Technology, The Netherlands. His main area of interest is in computational mechanics with emphasis on computational geoenvironment. In particular, he is a developer of analytical, semi-analytical and numerical models for wave propagation in layered systems, multiphase flow and heat and fluid flow in shallow geothermal systems. The main focus of his research work is the development of innovative models and efficient computational procedures capable of simulating physical processes occurring in complicated geometry using minimal computational efforts. Along this line, Dr. Al-Khoury has published several models for different fields of computational mechanics, including wave propagation, parameter identification, fracturing porous media, and geothermics.
