Learning objectives
Knowledge and ability to understand: learn the basics of the equations describing the flow of fluids (in particular in porous media) and of the advective transport of contaminants.
Knowledge and understanding skills applied: ability to read and understand how to apply the theoretical knowledge acquired to examples of the modeled case studies.
Making judgments: knowing how to evaluate the content of innovation present in the examples of case studies based on the acquired theoretical knowledge.
Communication skills: knowing how to present and organize the exposition of a specialized subject based on the developed topics.
Ability to learn: to learn more about a topic starting from previous knowledge applied to similar examples and applications of modeling a fluids flow problem.
Prerequisites
No
Course unit content
The course intends to provide on one side, an overview of mathematical models describing the flow of fluids (especially in porous media) and the advective transport and to the governing equations that describe these phenomena.
On the other hand, it intends to provide numerical calculation tools for modeling and forecasting in time and space using examples of real case studies.
Full programme
Fundamentals of modeling (knowledge and understanding)
Darcy's law. Generalization in three dimensions.
Equations that describe the single-phase flow in porous media. Flow equation in the presence of external sources (knowledge and ability to understand).
Equations describing the immiscible two-phase flow. Differential equations written in terms of pressure and saturation.
Equations in transitory and stationary regime.
Classification of differential equations. Boundary conditions: Dirichlet, Neumann and mixed (knowledge and understanding).
Solution of the steady-state flow equation, in one media isotropic and homogeneous. Laplace equation.
Examples of analytical models and solution (knowledge and ability of applied comprehension).
Introduction to the finite difference method. Examples of approximate solutions.
Discretization of the grid and boundary conditions.
Numerical methods. Implementation for some case studies (knowledge and ability of applied comprehension).
Equations of the transport of contaminants in a single-phase fluid and immiscible fluid multiphase.
Transport of multicomponents in a single phase fluid and immiscible fluid multiphase.
Example of analytical solutions (knowledge and understanding).
Application to case studies using a numerical program, for example MODFLOW
(autonomy of judgment).
Simulation application of interdisciplinary studies for the solution of a real problem (communication skills).
Bibliography
Applied Groundwater Modeling, Simulation of Flow and Advective Transport.
Mary P. Anderson, William W. Woessner, Randall J. Hunt.
Material supplied by the teacher.
Teaching methods
Lectures and activities in the laboratory of modeling and simulations of case studies and real cases.
Assessment methods and criteria
The ability to autonomously use, integrate and communicate the student's knowledge is verified in different phases of the course, through problems assigned and solved by the students.
The acquisition of knowledge is verified through an oral exam, in the course of which theoretical knowledge is applied to real case studies. 'Lode' is given in cases in which an extraordinary ability to face and solve the problems posed is demonstrated. For foreign students English is used.
Other information
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