NUMERICAL MODELLING IN GEOSCIENCES

Second cycle degree in GEOLOGY AND TECHNICAL GEOLOGY

Campus: PADOVA

Language: English

Teaching period: First Semester

Lecturer: MANUELE FACCENDA

Number of ECTS credits allocated: 6


Syllabus
Prerequisites: Basic mathematics, physics and MatLab
Examination methods: Oral and practical test
Course unit contents: 1. Mathematical basis for partial differential equations (derivatives, gradient, divergency, laplacian operator)
2. Rock physical properties (viscosity, elastic moduli, cohesion and friction coefficient, density, thermal conductivity and diffusivity, heat capacity)
3. Synthetic phase diagrams and thermodynamical database implementation
4. Stress, strain and strain rate tensors and constitutive relationships.
5. Visco-elasto-plastic deformation
6. Diffusion equation
7. Conservation of mass
8. Conservation of momentum
9. Conservation of energy
10. Numerical method: finite difference with particle-in-cell (mixed Eulerian-Lagrangian scheme)
11. Solution of systems of equation with iterative (Gauss-Siedel) ir direct (Gauss elimination) methods.
12. Working with MatLab software to:
- save, read and plot data
- programming petrological-thermo-mechanical numerical codes with viscous deformation and variable physical properties