Programme

1. Introduction to the Course, Earth Physics and the Environment

2. Introduction to Matlab, matrices and vectors, functions

3. Recall to Fourier series and transform. Transfer function, causality, dispersion.

4. Matlab Exercise, Pulse Response

5. Sampling theorem, aliasing, analytical signal, signal energy

6. Matlab Exercise, Fourier Transform, FFT

7. Time series

8. Matlab Exercise, Least Squares problem and Data fitting

9. Introduction to Climate Change

10. Exercise on a time series (CO2 concentration in the atmosphere)

11. Earthquakes and propagation of waves

12. Exercise on a time series (CO2 concentration in the atmosphere)

13. Maxwell equations, constitutive relations

14. Exercise on a time series (CO2 concentration in the atmosphere)

15. Low frequency and high frequency electromagnetic measurements

16. Exercise on Earthquake location

17. Relation between electrical parameters and hydraulic parameters: electrical conductivity and hydraulic permeability

18. Exercise on Earthquake location

19. Hydrodynamic dispersion equation

20. Exercise on the diffusion of a pollutant

Core Documentation

• D. C. Champeney, Fourier Transform and their applications, Academic Press.

• J. Gaskill, Linear systems, Fourier transforms, and optics, Wiley.

• F. W. Taylor, Elementary Climate Phyisics, OXFORD Univeristy Press.

• C. Chatfield, The Analysis of Time Series, CHAPMAN & HALL/CRC.

• A. Zollo, Terremoti e Onde, Liguori Editore.

• A. R. Von Hippel, Dielectric and Waves, John Wiley & Sons.