This pathway is the reversal way of Pathway 1 and offers mobility for students of Geology of Mineral Resources and Geophysical Explorations subprogramme of the Geology MSc of University of Zagreb faculty RGNF. Drivers from the sending partner in this pathway are to extend knowledge related to the project management and risk assessment, advanced data analytics and simulation modelling in synergy with a better understanding of orebody formation, as well as competences in AD and IT, soft skills, interdisciplinarity, GIS in mining. Students from Zagreb can follow their studies in the second (summer) semester at Wroclaw and return to Zagreb for the third and fourth semesters.
Dr Gabriela Paszkowska:
1st - winter [ECTS]
Petroleum Geology 
Industrial Mineral Deposits 
Analysis of Mineral Parageneses 
2 Optional courses 
Physics of Reservoir Rocks and Fluids 
Mining Law and Regulations 
2nd - summer [ECTS]
3rd - winter [ECTS]
Subsurface Mapping 
Clay Mineralogy 
Instrumental Methods of Analysis 
3 Optional courses 
Seismic and Sequence Stratigraphy 
Environmental Geochemistry 
Environmental Mineralogy 
4th - summer [ECTS]
Regional Geology 
Master Thesis 
Optional course 
Regional Petroleum Geology 
Geology of Croatia 
Course descriptions of the mobility semester
- Expected prior knowledge: Lectures: Introduction to Mathematical Analysis, Statics and Strength of Materials.
- Study Goal: Presentation of foundations of Theory of Elasticity and its application in Rock and Soil Mechanics (The lecture will be delivered in index notation). Introduction of fundamental concepts of rock and soil mechanics and their application in surface and underground mining.
- Course contents:
Theory of Rock Mechanics
1. Frame of axes Cartesian coordinates. Einstein summation convention. Kroecker delta. Permutation symbol. Relationship e – δ.
2. State of strain. Material and space coordinate. Green, Almansy and Couchy strain tensors. Gradient matrix. Geometric interpretation of infinitesimal strain components.
3. Spherical and deviatoric tensors of state of strain. Principal strains and principal axes of strain tensor. Strain tensor invariants. Tensor of principal axes. Capability equations.
4. State of stress. Stress vector and stress tensor. Couchy formula. Coordinate transformations for stresses. Formal definition of a tensor. Hydrostatic and stress deviation tensor.
5. Normal and shear stresses. Principal stresses and principal axes of stress tensors and stress deviation tensors. Invariants of stress and stress deviation tensors. Octahedral stresses. Intensity of stress tensor. Mohr circle of stress components.
6. Linear elasticity. General Hooke law. Hooke law for Isotropic materials. Stress – strain deviatoric relationship. Hydrostatic stress versus dilatation formula. Relationship between different elastic module.
7. Elastic strain energy expressed by stress and strain tensor components. Solving theory of elasticity boundary problems using displacement approach. Navier-Stoke’s equation.
8. Classical strength criteria. Effective stresses.
9. Coulomb- Mohr strength criterion. Safety factor.
10. Plane stress and plane strain problems of theory of elasticity. Solving theory of elasticity boundary problems using stress approach. Airy function. Biharmonic polynomials. Airy function In polar coordinate. General form of Airy function.
11. Introduction to Finite Element Method.
12. Description of Phases code interface.
13. Simple example FEM calculation.
Theory of Soil Mechanics
1. Soil classification.
2. Modeling of soil and rock behaviour.
3. Effective stresses.
4. Water flow.
5. Bearing capacity of foundation.
6. Atteberg Limits and compaction characteristic of soil.
Practice of Rock Mechanics
1. Rock mass properties.
2. Rock mass classification.
3. In-situ stresses.
4. Methods for stress analysis.
5. Rock mass discontinuities and their strength.
6. Slope stability problems and rock fall hazard.
7. Rock bolts and cables in rock engineering.
8. Pillar strength and its importance in room-and-pillar mining.
9. Floor strata behavior in room-and-pillar mining.
10. Interaction of roof, pillar and floor.
11. Surface subsidence due to underground mining.
12. Structures resistance against earthquake and mining related motion.
13. Pillar strength and its importance in room-and-pillar mining.
14. Structures resistance against earthquake and mining related motion.
15. Application of Geomechanics in underground mining.