Numerical Modeling for Geoengineering
A.Y. 2026/2027
Learning objectives
To provide students with the theoretical and practical knowledge required for the advanced analysis of applied geology and geotechnical engineering problems using numerical modelling—an essential tool when the complexity or significance of the problem makes traditional analytical or semi-empirical solutions inadequate.
Expected learning outcomes
Numerical modeling represents the tool through which a complex geotechnical problem can be analyzed, allowing the simulation of evolving scenarios in response to multiple variables. The theoretical approaches implemented in dedicated software vary and must be selected according to the specific nature of the problem.
The student will be able to transition from the conceptual model describing the problem (e.g., landslides, small- and large-scale geo-engineering works, etc.) to the geotechnical model, select the most appropriate numerical approach, and carry it out using dedicated software tools.
In particular, the main expected outcomes are as follows:
· Understand the governing field equations of geo-engineering problems describing the hydro-mechanical behavior of soils and rock masses, with particular focus on the most widely used constitutive models for geomaterials.
· Understand the functioning of numerical codes suitable for geo-engineering analysis, with specific reference to the finite element and discrete element methods.
· Be able to consciously use a numerical code, addressing the problem from the domain definition and initial and boundary conditions to the selection of physical and hydro-mechanical parameters.
· Be able to tackle, through numerical modeling, a range of practical problems commonly encountered in applied geology and geotechnics, such as slope stability in soil or rock, slope stabilization through drainage and/or structural works, and the assessment of settlements and subsidence.
· Understand the principles and application domains of more innovative and environmentally sustainable interventions, such as low-enthalpy geothermal installations (energy geostructures).
The student will be able to transition from the conceptual model describing the problem (e.g., landslides, small- and large-scale geo-engineering works, etc.) to the geotechnical model, select the most appropriate numerical approach, and carry it out using dedicated software tools.
In particular, the main expected outcomes are as follows:
· Understand the governing field equations of geo-engineering problems describing the hydro-mechanical behavior of soils and rock masses, with particular focus on the most widely used constitutive models for geomaterials.
· Understand the functioning of numerical codes suitable for geo-engineering analysis, with specific reference to the finite element and discrete element methods.
· Be able to consciously use a numerical code, addressing the problem from the domain definition and initial and boundary conditions to the selection of physical and hydro-mechanical parameters.
· Be able to tackle, through numerical modeling, a range of practical problems commonly encountered in applied geology and geotechnics, such as slope stability in soil or rock, slope stabilization through drainage and/or structural works, and the assessment of settlements and subsidence.
· Understand the principles and application domains of more innovative and environmentally sustainable interventions, such as low-enthalpy geothermal installations (energy geostructures).
Lesson period: First semester
Assessment methods: Esame
Assessment result: voto verbalizzato in trentesimi
Single course
This course cannot be attended as a single course. Please check our list of single courses to find the ones available for enrolment.
Course syllabus and organization
Single session
Responsible
Lesson period
First semester
Course syllabus
· Introduction to numerical modeling: continuum- and discontinuum-based methods, stages of analysis
· Field equations in porous and fractured media, and constitutive models for geomaterials
· Numerical solution of boundary value problems: theoretical overview of continuum-based methods (finite element method - FEM, finite difference method - FDM) and discontinuum-based methods (discrete element method - DEM, discrete fracture network - DFN)
· Criteria for the informed use of continuous and discontinuous numerical codes: domain definition, initial and boundary conditions, selection of constitutive models and parameters, subdivision of the problem into computational steps
· Application of numerical analysis to the following problems:
· Stability of natural slopes and stabilization interventions
· Analysis of deformation and instability induced by artificial slope construction and excavations
· Subsidence due to fluid withdrawal
· Energy foundations: construction aspects, and methods for thermal analysis and design.
· Field equations in porous and fractured media, and constitutive models for geomaterials
· Numerical solution of boundary value problems: theoretical overview of continuum-based methods (finite element method - FEM, finite difference method - FDM) and discontinuum-based methods (discrete element method - DEM, discrete fracture network - DFN)
· Criteria for the informed use of continuous and discontinuous numerical codes: domain definition, initial and boundary conditions, selection of constitutive models and parameters, subdivision of the problem into computational steps
· Application of numerical analysis to the following problems:
· Stability of natural slopes and stabilization interventions
· Analysis of deformation and instability induced by artificial slope construction and excavations
· Subsidence due to fluid withdrawal
· Energy foundations: construction aspects, and methods for thermal analysis and design.
Prerequisites for admission
It is recommended to take this course in the second year of study and only after having attended at least one of the following courses: "Geotechnics" or "Slope Stability and Stabilization Methods", in order to acquire the necessary theoretical and practical background.
Teaching methods
The course involves both traditional lectures and problem-solving workshops.
Teaching Resources
The teaching material (handouts and references) will be shared on My Ariel
Assessment methods and Criteria
The final exam is composed of two parts: (1) the assessment of a report, submitted by the student at least 1 week before the exam date, where one or more geo-engineering problems are solved numerically. These problems are solved by students during the course, benefiting from the lecturer's assistance; (2) an oral exam, where the outcome of report (1) is discussed and the student is asked additional questions to assess his/her (both theoretical and practical) knowledge of the subject.
GEOS-03/B - Applied Geology - University credits: 6
Exercises: 24 hours
Lessons: 32 hours
Lessons: 32 hours
Professors:
Apuani Tiziana, Cecinato Francesco
Professor(s)
Reception:
by appointment
Via Mangiagalli 34 (Milano), Ground Level, or online via MS Teams