Risorse bibliografiche
Risorsa bibliografica obbligatoria
Risorsa bibliografica facoltativa
Scheda Riassuntiva
Anno Accademico 2019/2020
Scuola Scuola di Ingegneria Industriale e dell'Informazione
Docente Guadagnini Alberto
Cfu 8.00 Tipo insegnamento Monodisciplinare

Corso di Studi Codice Piano di Studio preventivamente approvato Da (compreso) A (escluso) Insegnamento

Obiettivi dell'insegnamento

The course is designed to provide participants with principles of multiphase flow and transport in petroleum reservoirs. Students will learn the way key physical, geo-chemical and hydrologic processes can be conceptualized and described to quantify flow dynamics in subsurface reservoirs. They will also learn how to interpret laboratory and field scale tracer data and how to cope with the intrinsic uncertainty associated with the characterization of subsurface heterogeneous reservoirs.

Risultati di apprendimento attesi

Lectures and practical exercise sessions will enable students to:

  • be familiar with principles, approaches and techniques for reservoir characterization;
  • understand the theory of multiphase flow and transport in heterogeneous porous media;
  • effectively parameterize flow and transport models;
  • solve flow and transport problems in the upstream sector of the oil & gas industry (including laboratory and field scales data interpretation);
  • assess multiphase flow and transport model under uncertainty;
  • learn key elements and tools of geostatistically-based reservoir characterization and flow and transport simulation.

Argomenti trattati

Key processes that control fluid movement in basin to reservoir scales. Fluid flow in porous and fractured media, saturation profiles. Permeability and relative permeability. Darcy’s Law (phenomenology and theoretical derivation). Anisotropic media and permeability tensor. Scale dependence of hydraulic properties and heterogeneity; theoretical and empirical correlations between flow parameters (specific storage, porosity, permeability). Interpretation of laboratory scale flow experiments on uniform and heterogeneous systems.

Multi-phase flow in porous and fractured media. Multiple phases in equilibrium: Young-Laplace Equation; spreading coefficient; wettability; flow in capillary tubes; contact angle hysteresis. Three- and two-dimensional models for single phase fluid flow in porous media. Initial and boundary conditions. Analytical solutions. Continuous models of fractured systems and discrete fracture networks. Variably saturated flow models. Primary drainage and imbibition. Water content, surface tension, capillary pressure, retention curve, hysteresis. Motion equation: coupling between the phases and Darcy’s Law for variably saturated flows. Effective permeability. Examples of analytical solutions. Displacement processes in mixed-wet media. Basic elements of three-phase flow.

Solute transport processes. Advection Dispersion Equation (ADE) for single dissolved species. Dispersivity tensor. Laboratory and field- scale tracer tests and their interpretation in unconsolidated and fractured systems. Random Walk and continuous time random walk models. Multi-component reactive transport. Models of precipitation-dissolution, sorption and homogeneous reactions in porous media. Interpretation of laboratory experiments. Diagenesis in sedimentary basins.

Data Integration for Petroleum Reservoirs and Inverse Modeling. Introduction and application of techniques aimed at incorporating reservoir scale data (including geological information) and dynamic reservoir behavior into reservoir characterization models; dynamic data in the form of pressure transient tests, tracer tests, multiphase production histories. Well test interpretation techniques in unconsolidated and fractured formations and practical considerations for system characterization. Uncertainty quantification in the characterization of heterogeneous reservoirs: basic principles of geostatistics; probabilistic approaches to flow and transport in heterogeneous reservoirs. General formulation of inverse problems in heterogeneous reservoirs. Model calibration and validation.


Students are invited to be familiar with: principles of calculus, fluid mechanics, partial differential equations, basics of statistics.

Modalità di valutazione

The exam consists of two compulsory parts: a written and an oral test. Both parts must be successfully completed to pass the course.

The written test is structured across 3 exercises aimed at assessing the ability to:

  • solve a flow and/or transport problem
  • interpret experimental data (multiphase flow and transport)
  • reconstruct the heterogeneous distribution of reservoir properties

Marks of the written tests range among: A (Excellent), B (Good), C (Average, Fair), D (Poor, Pass), F (Failure)

The oral test can be undertaken only if the written test has been successful (minimum mark: D); it starts from the discussion of the written test and aims at verifying the degree of understanding of all aspects (theoretical, conceptual, and operational) covered during the course. It brings the mark of the written part up to date to define the final grade.

Risorsa bibliografica obbligatoriaMartin J. Blunt, Petroleum Engineering

Class notes

Risorsa bibliografica facoltativaBear, J., and A. H.-D. Cheng, Modeling Groundwater Flow and Contaminant Transport, Editore: Springer, Anno edizione: 2010
Risorsa bibliografica facoltativaF. A. L. Dullien, Porous Media: Fluid Transport and Pore Structure, Editore: Academic Press, San Diego, Anno edizione: 1992
Risorsa bibliografica facoltativaJ. Bear, Dynamics of Fluids in Porous Media, Editore: Dover Publications, Anno edizione: 1972

Forme didattiche
Tipo Forma Didattica Ore di attività svolte in aula
Ore di studio autonome
Laboratorio Informatico
Laboratorio Sperimentale
Laboratorio Di Progetto
Totale 80:00 120:00

Informazioni in lingua inglese a supporto dell'internazionalizzazione
Insegnamento erogato in lingua Inglese
Disponibilità di materiale didattico/slides in lingua inglese
Disponibilità di libri di testo/bibliografia in lingua inglese
Possibilità di sostenere l'esame in lingua inglese
Disponibilità di supporto didattico in lingua inglese
schedaincarico v. 1.6.1 / 1.6.1
Area Servizi ICT