Contents

• List of Figures
• List of Tables
• Measuring wave velocity
  • Ambient vibrations
    • Frequency-wavenumber method
    • High resolution method
    • Spatial auto-correlation method
  • Artificial sources
    • $P-S_V$ refracted waves
    • $S_H$ refracted waves
    • Surface wave inversion
  • Conclusions
  
  
• The inversion algorithm
  • Definition
  • Available methods
    • Gridding method
    • Iterative methods
    • Neural Networks
    • Monte Carlo methods
  • The neighbourhood algorithm
  • Conditional parameter spaces
  • Conclusions
  
  
• Forward computation
  • Dispersion Curves
    • Propagator-matrix method
    • Displacements, Stresses, and strains
    • Eigenvalue problem for Love waves
    • Eigenvalue problem for Rayleigh waves
    • A quick root search
    • Mode jumping control
    • Misfit
    • Sensitivity of the dispersion against layer parameters
    • Conclusion
  • Ellipticity
    • Computation
    • Sensitivity
    • Misfit
  • Spatial auto-correlation
    • Computation
    • Misfit
    • Sensitivity
  • Conclusion
  
  
• Parameterization of a ground model
  • Theoretical model used in parameterization tests
  • Thickness, $V_p$ , and $V_s$
    • Two layers
    • Three layers
  • Stack of N layers
    • Arbitrary profile
    • $V_s$ inversion without LVZ
  • Non-uniform layers
    • Linear variation
    • Power law variation
  • Conclusions
  
  
• Enhanced inversions
  • Multimodal curves
    • Rayleigh higher modes
    • Love and Rayleigh
    • Higher mode identification
  • Spatial auto-correlation
    • Uniqueness of auto-correlation curves
    • Synthetic model
    • Validation of auto-correlations
    • Inversion
  • Ellipticity inversion
  
  
• Test cases
  • Synthetic ambient vibrations
    • Model description
    • Single source wavefield
    • Frequency-wavenumber method
    • High resolution method
    • Spatial auto-correlation method
    • Discussion and Conclusions
  • Liège site
    • The test site
    • Ambient vibrations recording
    • Frequency-wavenumber method
    • High resolution method
    • Spatial auto-correlation method
    • Conclusions
  
  
• Sub-determinants of $R^{(i)}$
• Generating increasing velocity profiles
  • Selection method
  • Sorting method
  • Velocity-jump method
  • Interpolation method
  • Interpolation method with random start
  • Bissection method
  • Diagonal method
  • Including Poisson's ratio
  • Conclusions
  
  
• Bibliography