Programme

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

2. Introduction to Python, matrices and vectors, functions

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

4. Python Exercise, Pulse Response

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

6. Python Exercise, Fourier Transform, FFT

7. Time series

8. Python 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

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

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

• F. W. Taylor, Elementary Climate Physics, Oxford.

Type of delivery of the course

Frontal lectures at the blackboard and with slides projection, intercalated with numerical exercises in Python environment and laboratory experiences.

Type of evaluation

The examination consists in the preparation of three reports concerning the analysis of geophysical data obtained from laboratory measurements, and from an oral test during which the reports presented by the student and the topics dealt with during the course are discussed.