Computational Modeling of Shallow Geothermal Systems: 1st Edition (Paperback) book cover

Computational Modeling of Shallow Geothermal Systems

1st Edition

By Rafid Al-Khoury

CRC Press

254 pages

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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.

Table of Contents


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

About the Author

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.

About the Series

Multiphysics Modeling

Book Series Editors: Jochen Bundschuh (University of Applied Sciences, Karlsruhe, Germany & Royal Institute of Technology (KTH), Stockholm , Sweden) and Mario Cesar Suarez Arriaga (Private Consultant, Morelia, Mexico).
The book series addresses novel mathematical and numerical techniques with an interdisciplinary focus that cuts across all fields of science, engineering and technology. A
unique collection of worked problems provide understanding of complicated coupled
phenomena and processes, its forecasting and approaches to problem-solving for a
diverse group of applications in physical, chemical, biological, geoscientific, medical
and other fields. The series responds to the explosively growing interest in numerical
modeling of coupled processes in general and its expansion to ever more sophisticated
physics. Examples of topics in this series include natural resources exploration and
exploitation (e.g. water resources and geothermal and petroleum reservoirs), natural
disaster risk reduction (earthquakes, volcanic eruptions, tsunamis), evaluation and
mitigation of human-induced phenomena as climate change, and optimization of
engineering systems (e.g. construction design, manufacturing processes).

Editorial Board: Iouri Ballachov (USA); Jacob Bear (Israel); Angelika Bunse-Gerstner (Germany); Chun-Jung Chen (Taiwan); Alexander H.D. Cheng (USA); Martin A. Diaz Viera (Mexico); Hans J. Diersch (Germany); Jesus A. Dominguez (USA); Donald Estep (USA); Ed Fontes (Sweden); Edward Furlani (USA); Ismael Herrera (Mexico); Jim Knox (USA); William Layton (USA); Kewen Li (USA); Jen-Fin Lin (Taiwan); Rainald Lohner (USA); Emily Nelson (USA); Enrico Nobile (Italy); Jennifer Ryan (Netherlands); Rosalind Sadleir (USA); Fernando Samaniego V. (Mexico); Peter Schatzl (Germany); Xinpu Shen (USA); Roger Thunvik (Sweden); Clifford I. Voss (USA); Thomas Westermann (Germany); Michael Zilberbrand (Israel).

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Subject Categories

BISAC Subject Codes/Headings:
TECHNOLOGY & ENGINEERING / Environmental / General
TECHNOLOGY & ENGINEERING / Power Resources / Alternative & Renewable