Contents

• Contents
• Acknowledgements
• Abstract
• Zusammenfassung
• 1. Introduction
• 2. Heat Transfer in Soils
  • 2.1 Heat Conduction Equation
  • 2.2 Analytical Solutions of the Heat Conduction Equation
    • 2.2.1 Constant Thermal Properties
    • 2.2.2 Depth Dependent Thermal Properties
  • 2.3 Numerical Solution of the Heat Conduction Equation
  • 2.4 The Effect of Soil Moisture on the Thermal Properties of Soils
    • 2.4.1 Heat Capacity
    • 2.4.2 Thermal Conductivity
    • 2.4.3 Thermal Diffusivity
• 3. Inverse Determination of Thermal Properties
  • 3.1 Methods
    • 3.1.1 Direct Amplitude Methods (DAM1/DAM2)
    • 3.1.2 Direct Phase Methods (DPM1/DPM2)
    • 3.1.3 Direct Numerical Method (DNM)
    • 3.1.4 Indirect Harmonic Methods (IHAM/IHPM)
    • 3.1.5 Indirect Numerical Method (INM)
  • 3.2 Validation of Methods
    • 3.2.1 Overview of Idealised Experiments
    • 3.2.2 Sensitivity to Quality of Temperature Measurements
    • 3.2.3 Sensitivity to Boundary Condition
    • 3.2.4 Sensitivity to Discretisation Intervals
    • 3.2.5 Variation of Thermal Diffusivity
• 4. Inverse Determination of Soil Moisture
  • 4.1 Method
  • 4.2 Accuracy of Soil Moisture Determination
  • 4.3 Validation of Method
    • Overview of Idealised Experiment
  • 4.4 Results of Experiment
• 5. Application to Real Datasets
  • 5.1 Foulum Dataset
  • 5.2 Norunda Dataset
  • 5.3 Ticino Dataset
• 6. Discussion
  • 6.1 Validity of Assumptions
  • 6.2 Inversion of Heat Conduction Equation
  • 6.3 Determination of Soil Moisture
• 7. Conclusion and Outlook
• References
• Nomenclature
• A. Indirect Numerical Method (INM)
• B. Datasets
  • B.1 Foulum Dataset
  • B.2 Norunda Dataset
  • B.3 Ticino Dataset
• C. Selected Experiment Results
  • C.1 Noise (Experiment 1)
  • C.2 Linear Moisture Increase (Experiment 6)
  • C.3 Idealised Rain Event (Experiment 7)
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